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Published online by Cambridge University Press:  28 July 2023

Eric Loth
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University of Virginia
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References

Abrahamson, J. (1975) “Collision rates of small particles in a vigorously turbulent fluid,” Chemical Engineering Science, Vol. 30, pp. 13711379.Google Scholar
Achenbach, E. (1974) “The effects of surface roughness and tunnel blockage on the flow past spheres,” Journal of Fluid Mechanics, Vol. 65, Part 1, pp. 113125.CrossRefGoogle Scholar
Aerosty, J. (1962) “Sphere drag on a low-density flow,” Report HE-150-192, University of California Berkeley, January.Google Scholar
Albertson, L. (1952) “Effect of shape on the fall velocity of gravel particles,” in Proceedings of the 5th Hydraulics Conference . Studies in Engineering. Cambridge: University of Iowa.Google Scholar
Alger, G. R. and Simons, D. B. (1968) Journal of Hydraulics Engineering Division, ASCE, Vol. 94, pp. 721737.CrossRefGoogle Scholar
Aliseda, A., Cartellier, A., Hainaux, F., and Lasheras, J. C. (2002) “Effect of preferential concentration on the settling velocity of heavy particles in homogeneous isotropic turbulence,” Journal of Fluid Mechanics, Vol. 468, pp. 77105.Google Scholar
Aliseda, A. and Lasheras, J. C. (2011) “Preferential concentration and rise velocity reduction of bubbles immersed in a homogeneous and isotropic turbulent flow,Physics of Fluids, Vol. 23, 093301.Google Scholar
Almohammadi, H. and Amirfazli, A. (2019) “Droplet impact: viscosity and wettability effects on splashing,Journal of Colloid and Interface Science, Vol. 553, pp. 2230.Google Scholar
Altmeppen, J., Sommerfeld, H., Koch, C., and Staudacher, S. “An analytical approach to estimate the effect of surface roughness on particle rebound,” Journal of Global Power and Propulsion Society, Vol. 4, pp. 2737.Google Scholar
Ambari, A. Gauthier-Manuel, B., and Guyon, E. (1984) “Wall effects on a sphere translating at constant velocity,Journal of Fluid Mechanics, Vol. 149, pp. 235353.Google Scholar
Amin, A., Girolami, L., and Risso, F. (2021) “On the fluidization/sedimentation velocity of a homogeneous suspension in a low-inertia fluid,” Powder Technology, Vol. 391, pp. 110.Google Scholar
Anfossi, D., Alessandrini, S., Trini Castelli, S., Ferrero, E., Oettl, D., and Degrazia, G. (2006) “Tracer dispersion simulation in low wind speed conditions with a new 2D Langevin equation system,” Atmospheric Environment, Vol. 40, pp. 72347245.Google Scholar
Aoyama, S., Hayashi, K., Hosokawa, S., Lucas, D., and Tomiyama, A. (2017) “Lift force acting on single bubbles in linear shear flows,International Journal of Multiphase Flow, Vol. 96, pp. 113122.Google Scholar
APSC (2020) Alyeska Pipeline Service Company, photograph with permission.Google Scholar
Aroesty, J. (1962) “Sphere drag in a low-density supersonic flow.” Technical Report HE-150-192, University of California Berkeley.Google Scholar
Arolla, S. and Durbin, P. A. (2014) “LES of spatially developing turbulent boundary layer over a concave surface,” Journal of Turbulence, Vol. 16. pp. 8199.CrossRefGoogle Scholar
Ashgriz, N. and Poo, J. Y. (1989) “Coalescence and separation in binary collisions of liquid drops,Journal of Fluid Mechanics, Vol. 221, pp. 183204.Google Scholar
Asmolov, E. S. and McLaughlin, J. B. (1999) “The inertial lift of an oscillating sphere in a linear shear flow field,” International Journal of Multiphase Flow, Vol. 25, pp. 739751.CrossRefGoogle Scholar
Auton, T. R., (1987) “The lift force on a spherical body in a rotational flow,” Journal of Fluid Mechanics, Vol. 183, pp. 199218.Google Scholar
Auton, T. R., Hunt, J. C. R., and Prud’Homme, M. (1988) “The force exerted on a body in inviscid unsteady non-uniform rotational flow,” Journal of Fluid Mechanics, Vol. 197, pp. 241257.Google Scholar
Aybers, N. M. and Tapucu, A. (1969) “The motion of gas bubbles rising through stagnant liquid,” Wärme Stoffübertrag. Vol. 2, pp. 118128.Google Scholar
Azuma, H. and Yoshihara, S. (1999) “Three-dimensional large-amplitude drop oscillations: experiments and theoretical analysis,” Journal of Fluid Mechanics, Vol. 393, pp. 309332.Google Scholar
Baba, J. and Komar, P. D. (1981) “Measurements and analysis of settling velocities of natural quartz sand grains,” Journal of Sedimentary Petrology, Vol. 51 , pp. 631640.Google Scholar
Bagchi, P. and Balachandar, S. (2002a) “Effect of free rotation on motion of a solid sphere,” Physics of Fluids, Vol. 14, No. 8, pp. 27192737.CrossRefGoogle Scholar
Bagchi, P. and Balachandar, S. (2002b) “Shear versus vortex-induced lift on a rigid sphere at moderate Re,” Journal of Fluid Mechanics, Vol. 473, pp. 379388.Google Scholar
Bagchi, P. and Balachandar, S. (2002c) “Steady planar straining flow past a rigid sphere at moderate Reynolds number,” Journal of Fluid Mechanics, Vol. 466, pp. 365407.CrossRefGoogle Scholar
Bagchi, P. and Balachandar, S. (2003) ”Effect of turbulence on the drag and lift of a particle,” Physics of Fluids, Vol. 15, No. 11, pp. 34963513.Google Scholar
Bagchi, P. and Balachandar, S. (2004) ”Response of the wake of an isolated particle to an isotropic turbulent flow,” Journal of Fluid Mechanics, Vol. 518, pp. 95123.Google Scholar
Bailey, A. B. and Hiatt, J. (1972) “Sphere drag coefficients for a broad range of Mach and Reynolds numbers,” AIAA Journal, Vol.10, pp 14361440.Google Scholar
Bailey, A. B. and Starr, R. F. (1976) “Sphere drag at transonic speeds and high Reynolds numbers,” AIAA Journal, Vol. 14, No. 11, p. 1631.Google Scholar
Balachandar, S. and Eaton, J. K. (2010) ”Turbulent dispersed multiphase flow,Annual Review of Fluid Mechanics , Vol. 42, pp. 111133.Google Scholar
Balakumar, P. and Park, G. I. (2015) “DNS/LES simulations of separated flows at high Reynolds numbers,” 45th AIAA Fluid Dynamics Conference, Dallas, AIAA 2015-2783.Google Scholar
Balaras, E., Benocci, C., and Piomelli, U. (1996) “Two-layer approximate boundary conditions for large-eddy simulations,AIAA Journal, Vol. 34, pp. 11111119.Google Scholar
Barbosa, C., Legendre, D., and Zenit, R. (2019) “Sliding motion of a bubble against an inclined wall from moderate to high bubble Reynolds number,” Physical Review Fluids, Vol. 4, pp. 032201-1–032201-10.Google Scholar
Barkla, H. M. and Auchterlonie, L. J. (1971) “The Magnus or Robbins effect on rotating spheres,” Journal of Fluid Mechanics, Vol. 47, pp. 437448.Google Scholar
Barlow, J. B. and Domański, M. (2008) “Lift on stationary and rotating spheres under varying flow and surface conditions,” AIAA Journal, Vol. 46, pp. 19321936.Google Scholar
Barua, S., Yoo, J.-W., Kolhar, P., Wakankar, A., Gokarn, Y. R., and Mitragotri, S. (2013) “Shape-induced enhancement of antibody specificity,” Proceedings of the National Academy of Sciences, Vol. 110 pp. 32703275.Google Scholar
Basset, A. B. (1888) “On the motion of a sphere in a viscous liquid,” Philosophical Transactions of the Royal Society of London, Vol. 179A, pp. 4363.Google Scholar
Bataille, J., Lance, M., and Marie, J. L. (1991) “Some aspects of the modeling of bubbly flows,” in Hewitt, G. F., Mayinger, F., and Riznic, J. R., eds., Phase-Interface Phenomena in Multiphase Flow. Cambridge: Hemisphere Publishing Corporation, pp. 179193.Google Scholar
Batchelor, G. K. (1967) An Introduction to Fluid Dynamics. Cambridge: Cambridge University Press.Google Scholar
Batchelor, G. K. (1972) “Sedimentation in a dilute dispersion of spheres,” Journal of Fluid Mechanics, Vol. 52, pp. 245268.Google Scholar
Beard, K. V. (1976) “Terminal velocity and shape of clouds and precipitation drops aloft,” Journal of Atmospheric Science, Vol. 33, pp. 851864.Google Scholar
Beard, K. V. and Prupacher, H. R. (1969) “A determination of the terminal velocity and drag of small water drops by means of a wind tunnel,” Journal of Atmospheric Science, Vol. 26, pp. 10661071.Google Scholar
Bel Fdhila, R. and Duineveld, P. C. (1996) “The effect of surfactant on the rise of a spherical bubble at high Reynolds and Peclet numbers,” Physics of Fluids, Vol. 8, pp. 310321.Google Scholar
Benjamin, T. B. (1987) “Hamiltonian theory for motions of bubbles in an infinite liquid,” Journal of Fluid Mechanics, Vol. 181, pp. 349379.Google Scholar
Benson, C. M., Levin, D. A., Zhing, J., Gimelshein, S. F., and Montaser, A. (2004) “Kinetic model for simulation of aerosol droplets in high-temperature environments,” Journal of Thermophysics and Heat Transfer, Vol. 18, pp. 122134.Google Scholar
Bhaga, D. and Weber, M. E. (1981) “Bubbles in viscous liquids: shapes, wakes and velocities,” Journal of Fluid Mechanics, Vol. 105, pp. 6185.Google Scholar
Biesheuvel, A. and Spoelstra, S. (1989) “The added mass coefficient of a dispersion of spherical gas bubbles in liquid,” International Journal of Multiphase Flow, Vol. 15, pp. 911924.Google Scholar
Biesheuvel, A. and van Wijngaarden, L. (1984) “Two-phase flow equation for a dilute dispersion of gas bubbles in liquid,” Journal of Fluid Mechanics, Vol. 148, pp. 301318.Google Scholar
Bocksell, T. and Loth, E. (2001) “Discontinuous and continuous random walk models for particle diffusion in free-shear flows,” AIAA Journal, Vol. 39, June, pp. 10861096.Google Scholar
Bocksell, T. and Loth, E. (2006) “Stochastic modeling of particle diffusion in a turbulent boundary layer,” International Journal of Multiphase Flow, Vol. 32, pp. 12341253.CrossRefGoogle Scholar
Boussinesq, J. (1903) Théorie analytique de la chaleur. Cambridge: L’Ecole Polytechnique, Vol. 2.Google Scholar
Boussinesq, J. (1997) Théorie de l’écoulement tourbillonnant et tumultueux des liquides dans les lits rectilignes à grande section. Cambridge: Gauthier–Villars.Google Scholar
Bragg, M. B. (1982) “A similarity analysis of the droplet trajectory equation,” AIAA Journal, pp. 16811686.Google Scholar
Brake, M., Reu, P. L., and Aragon, D. S. (2017), “A comprehensive set of impact data for common aerospace metals,” ASME Journal of Computational Nonlinear Dynamics , Vol. 12, No. 6, pp. 061011-1–061011-23.Google Scholar
Brazier-Smith, P. R., Jennings, S. G., and Latham, J. (1972) “The interaction of falling water drops: coalescence,” Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 326, No. 1566, pp. 393408 Google Scholar
Brenn, G., Valkovska, D. and Danov, K.D. (2001) “The formation of satellite droplets by unstable binary drop,” Physics of Fluids, Vol. 13, pp. 24632477.Google Scholar
Brennen, C. E. (1995) Cavitation and Bubble Dynamics. Cambridge: Oxford University Press.Google Scholar
Brennen, C. E. (2005) Fundamentals of Multiphase Flow. Cambridge: Cambridge University Press.Google Scholar
Brenner, H. and Cox, R. G. (1963) “The resistance to a particle of arbitrary shape in translational motion at mall Reynolds numbers,” Journal of Fluid Mechanics, Vol. 17, pp. 561595.Google Scholar
Breuer, M., Peller, N., Rapp, Ch., and Manhart, M. (2009) ““Flow over periodic hills – numerical and experimental study in a wide range of Reynolds numbers,Computers and Fluids, Vol. 38, pp. 433457.Google Scholar
Briggs, L. J. (1959) “Effects of spin and speed on the lateral deflection (curve) of a baseball and the Magnus effect for smooth spheres,” American Journal of Physics, Vol. 27, pp. 589596.Google Scholar
Brock, J. R. (1962) “On the theory of thermal forces acting on aerosol particles,” Journal of Colloid Science, Vol. 17, pp. 768780.CrossRefGoogle Scholar
Brown, C. S., Dillon, S., Lahey, R. T., and Bolotnov, I. A. (2017) “Wall-resolved spectral cascade-transport turbulence model,Nuclear Engineering and Design, Vol. 320, pp. 309324.Google Scholar
Brown, G. L. and Roshko, A. (1974) “On density effects and large structure in turbulent mixing layers,” Journal of Fluid Mechanics, Vol. 64, pp. 775816.Google Scholar
Brucato, A., Grusafi, F., and Montante, G. (1998) “Particle drag coefficients in turbulent fluids,” Chemical Engineering Science, Vol. 53, pp. 32953314.Google Scholar
Brucker, C. (1999) “Structure and dynamics of the wake of bubbles and its relevance for bubble injection,” Physics of Fluids, Vol. 11, pp. 17811796.CrossRefGoogle Scholar
Builtjes, P. J. H. (1975) “Determination of the Eulerain longitudinal integral length scale in a turbulent boundary layer,” Applied Scienctific Research, Vol. 31, pp. 397399.Google Scholar
Butler, C. (2020) CBC News, Posted: April 14, 2020, 3:06 PM ET.Google Scholar
Burgers, J. M. (1942) “On the influence of the concentration of a suspension upon the sedimentation velocity,” Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen, Vol. 45, pp. 126128.Google Scholar
Byron, M. L., Tao, Y., Houghton, I. A. and Variano, E. A. (2019) “Slip velocity of large low-aspect-ratio cylinders in homogenous isotropic turbulence,” International Journal of Multiphase Flow, Vol. 121, 103120.Google Scholar
Carlier, J. and Stanislas, M. (2005) “Experimental study of eddy structures in a turbulent boundary layer using particle image velocimetry,” Journal of Fluid Mechanics, Vol. 535, pp. 143188.Google Scholar
Carlson, D. J. and Hoglund, R. F. (1964) “Particle drag and heat transfer in rocket nozzles,” AIAA Journal, Vol. 2, pp. 19801984.Google Scholar
Chen, R. C. and Wu, T. L. (1999) “The flow characteristics between two interactive spheres,” ASME Fluids Engineering Conference, San Francisco, FEDSM99–7776, June.Google Scholar
Cherukat, P., McLaughlin, J. B., and Graham, A. L. (1994) “The inertial lift on a rigid sphere translating in a linear shear flow field,” International Journal of Multiphase Flow, Vol. 20, No. 2, pp. 339353.Google Scholar
Chester, D. (1993) Volcanoes and Society. Cambridge: Edward Arnold.Google Scholar
Chhabra, R. P. (1995) Powder Technology. Vol. 85, pp. 8390.Google Scholar
Christiansen, E. B. and Barker, D. H. (1965) “The effect of shape and density on the free settling of particles at high Reynolds number,” AIChE Journal, Vol. 11, pp. 145151.CrossRefGoogle Scholar
Chung, T. J. (2002) Computational Fluid Dynamics. Cambridge: Cambridge University Press.Google Scholar
Clamen, W. H. and Gauvin, A. (1969) “Effect of turbulence on the drag coefficients of spheres in a supercritical flow regime,” AIChE Journal, Vol. 15, p. 184189.Google Scholar
Clark, N. N., Gabriele, P., Shuker, S., and Turton, R. (1989) Powder Technology, Vol. 59, pp. 6972.Google Scholar
Clift, R. and Gauvin, W. H. (1970) “The motion of particles in turbulent gas streams,” Proceedings of CHEMECA ‘70, Butterworth, Melbourne, Vol. 1, pp. 1428.Google Scholar
Clift, R., Grace, J. R., and Weber, M. E. (1978) Bubbles, Drops and Particles. Cambridge: Academic Press.Google Scholar
Climent, E. and Maxey, M. R. (2003) “Numerical simulation of random suspensions at finite Reynolds numbers,” International Journal of Multiphase Flow, Vol. 29, pp. 579601.Google Scholar
Coimbra, C. F. M. and Kobayashi, M. H. (2002) “On the viscous motion of a small particle in a rotating cylinder,” Journal of Fluid Mechanics, Vol. 469, pp. 257286.Google Scholar
Connolly, B. J., Loth, E., and Smith, C. F. (2019) “Drag and bounce of irregular particles and test dust,” AIAA AIAA Propulsion and Energy 2019 Forum, Indianapolis, IN, pp. 20194341.Google Scholar
Connolly, B. J., Loth, E., and Smith, C. F. (2020) “Shape and drag of irregular angular particles and test dust,” Powder Technology, Vol. 363, pp. 275285.CrossRefGoogle Scholar
Coppen, S., Manno, V., and Rogers, C. B. (2001) “Turbulence characteristics along the path of a heavy particle,” Computers and Fluids, Vol. 30, pp. 257270.CrossRefGoogle Scholar
Corrsin, S. (1963) “Turbulence: experimental methods,” in Truesdell, C, ed., Strömungsmechanik II [Fluid Dynamics II]. Handbuch der Physik [Encyclopedia of Physics]. Cambridge: Springer Berlin Heidelberg, Vol. 3, pp. 524590.Google Scholar
Cox, R. G. (1969) “The deformation of a drop in a general time-dependent fluid flow,” Journal of Fluid Mechanics, Vol. 37, pp. 601623.Google Scholar
Cross, R. (2000) “The coefficient of restitution for collisions of happy balls, unhappy balls, and tennis balls,” American Journal of Physics, Vol. 68, pp. 10251031.Google Scholar
Crow, S. C. (1970) “Stability theory for a pair of trailing vortices,” AIAA Journal, Vol. 8, pp. 21722179.Google Scholar
Crowe, C. T. (2000) “REVIEW – numerical models for dilute gas-particle flows,” Journal of Fluid Engineering, Vol. 104, pp. 297303.Google Scholar
Crowe, C. T., Babcock, W. R., and Willoughby, P.G. (1972) “Drag coefficient for particles in rarefied low-Mach number flows,” Progress Heat Mass Transfer, Vol. 6, pp. 419431.Google Scholar
Crowe, C.T., Schwarzkopf, J. D., Sommerfeld, M., and Tsuji, Y. (2011) Multiphase Flows with Droplets and Particles. Cambridge: CRC Press.CrossRefGoogle Scholar
Crowe, C. T., Sommerfeld, M., and Tsuji, Y. (1998) Multiphase Flows with Droplets and Particles. Cambridge: CRC Press.Google Scholar
Csanady, G. T. (1963) “Turbulent diffusion for heavy particles in the atmosphere,” Journal of Atmospheric Sciences, Vol. 20, May, pp. 201208.Google Scholar
Cuenot, B., Magnaudet, J., and Spennato, B. (1997) “Effects of slightly soluble surfactants on the flow around a spherical bubble,” Journal of Fluid Mechanics, Vol. 339, pp. 2553.Google Scholar
Cunningham, E. (1910) “On the velocity of steady fall of spherical particles through fluid medium,” Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences, Vol. 83, No. 563, pp. 302323.Google Scholar
Czys, R. R. and Ochs, H. T. (1998) “The influence of charge on the coalescence of water drops in free fall,” Journal of the Atmospheric Sciences, Vol. 45, November, pp. 31613168.Google Scholar
Dallavalle, J. M. (1948) Micrometrics. Cambridge: Pitman Publishing.Google Scholar
Dandy, H. A. and Dwyer, D. S. (1990) “Some influences of particle shape on drag and heat transfer,” Physics of Fluids A, Vol. 2, No. 12, pp. 21102118.Google Scholar
Darton, R. C. and Harrison, D. (1974) “The rise of single gas bubbles in liquid fluidized beds,” Transactions of Institution Chemical Engineers, Vol. 52, pp. 301306.Google Scholar
Davies, J. M. (1949) “The aerodynamic of golf balls,” Journal of Applied Physics, Vol. 20, pp. 821828.CrossRefGoogle Scholar
Davies, R. and Taylor, G. I. (1950) “The mechanics of large bubbles rising through extended liquids and though liquids in tubes,” Proceedings of the Royal Society of London, Ser. A, Vol. 200, pp. 375390.Google Scholar
Davis, R. H (1991) “Sedimentation of axisymmetric particles in a shear flows,” Physics of Fluids A, Vol. 3, No. 9, pp. 20512060.Google Scholar
Davis, R. H., Serayssol, J. M., and Hinch, E. J. (1986) “The elastohydrodynamic collision of two spheres,” Journal of Fluid Mechanics, Vol. 163, pp. 479497.Google Scholar
DeCroix, D. S. (2003) “Visualizing chemical dispersion in populated regions,” E-newsletter for Tecplot Users, No. 18.Google Scholar
Dennis, S. C. R., Singh, S. N., and Ingham, D. B. (1980) “The steady flow due to a rotating sphere at low and moderate Reynolds numbers,” Journal of Fluid Mechanics, Vol. 101, pp. 257279.Google Scholar
Derksen, J. J. (2020) “Particle-resolved simulations of liquid fluidization of rigid and flexible fibersActa Mechanica, Vol. 231, pp. 51935203.Google Scholar
De Vries, A. W. G., Biesheuvel, A., and van Wijngaarden, L. (2001) “Notes on the path and wake of a gas bubble rising in pure water,” International Journal of Multiphase Flow, Vol. 28, No. 11, pp. 18231835 Google Scholar
Di Bernardino, A., Monti, P., Leuzzi, G., et al. (2017) “Water-channel estimation of Eulerian and Lagrangian time scales of the turbulence in idealized two-dimensional urban canopies,” Boundary-Layer Meteorology, Vol. 165, pp. 251276.Google Scholar
Di Felice, R. (1994) “The voidage function for fluid-particle interaction systems,” International Journal of Multiphase Flow, Vol. 20, pp. 153159.Google Scholar
Dijkhuizen, W., Roghair, I., Van Sint Annaland, M., Kuipers, J. A. M. (2010) “DNS of gas bubbles behaviour using an improved 3D front tracking model – drag force on isolated bubbles and comparison with experiments” Chemical Engineering Science, Vol. 65, pp. 14151426.Google Scholar
Ding, J. and Gidaspow, D. (1990) “A bubbling fluidization model using kinetic theory of granular flow,” AIChE Journal, Vol. 36, pp. 523538.Google Scholar
Dorgan, A. and Loth, E. (2004) “Simulation of particles released near the wall in a turbulent boundary layer,” International Journal of Multiphase Flow, Vol. 30, pp. 649673.Google Scholar
Dorgan, A. and Loth, E. (2007) “Efficient calculation of the history force at finite Reynolds numbers,” International Journal of Multiphase Flow, Vol. 33, August, pp. 833848.Google Scholar
Dorgan, A. and Loth, E. (2009) “Dispersion of bubbles in a turbulent boundary layer,” ASME Fluids Engineering Division Summer Conference (submitted).Google Scholar
Dorgan, A. J., Loth, E., Bocksell, T. L., and Yeung, P. K. (2005) “Boundary layer dispersion of near-wall injected particles of various inertias,” AIAA Journal, Vol. 43, pp. 15371548 Google Scholar
Drazin, P. G. and Reid, W. H. (1981) Hydrodynamic Stability . Cambridge: Cambridge University Press.Google Scholar
Dressel, M. (1985) “Dynamics shape factors for particle shape characterization,” Particle and Particle Systems Characterization, Vol. 2, pp. 6266.Google Scholar
Drew, D. A. (1983) “Mathematical modeling of two-phase flow,” Annual Review of Fluid Mechanics, Vol. 15, pp. 261291.CrossRefGoogle Scholar
Drew, D. A. and Passman, S. L. (1998) “Theory of multi-component fluids,” Applied Mathematical Sciences, Vol. 135. Cambridge: Springer.Google Scholar
Drew, D. A. and Passman, S. L. (1999) Theory of Multicomponent Fluids . Cambridge: Springer.CrossRefGoogle Scholar
Druzhinin, O. A. and Elghobashi, S. (1998) “Direct numerical simulations of bubble-laden turbulent flows using the two-fluid formulation,” Physics of Fluids, Vol. 10, No. 3, pp. 685697.Google Scholar
Druzhinin, O. A. and Elghobashi, S. (1999) “On the decay rate of isotropic turbulence laden with micro-particles,” Physics of Fluids, Vol. 11, No. 3, pp. 602610.Google Scholar
Duineveld, P. C. (1995) “Rise velocity and shape of bubbles in pure water at high Reynolds number,” Journal of Fluid Mechanics, Vol. 292, pp. 325332.Google Scholar
Eaton, J. K (1999) “Local distortion of turbulence by dispersed particles,” AIAA Fluid Dynamics Conference, Norfolk, VA, AIAA-99-3643, June.Google Scholar
Eaton, J. K. and Fessler, J. R. (1994) “Preferential concentration of particles by turbulence,” International Journal of Multiphase Flow, Vol. 20, pp. 169209.Google Scholar
Edge, R. M. and Grant, C. D. (1972) “Motion of drops in water contaminated with a surface-active agent,” Chemical Engineering Science, Vol. 27, No. 9, pp. 17091721.Google Scholar
Elamworawutthikul, C. and Gould, R. D. (1999) “The flow structure around a suspended sphere at low Reynolds number in a turbulent freestream,” 3rd ASME/JSME Joint Fluids Engineering Conference, July, FEDSM99–6996.Google Scholar
Elghobashi, S. (1994) “On predicting particle-laden turbulent flows,” Applied Scientific Research, Vol. 52, pp. 309329.Google Scholar
Elghobashi, S. and Abou-Arab, T. W. (1983) “A two-equation turbulence model for two-phase flows,” Physics of Fluids, Vol. 26, pp. 931938.Google Scholar
Elghobashi, S. and Truesdell, G. C. (1984) “Direct simulation of particle dispersion in a decaying isotropic turbulence,” Journal of Fluid Mechanics, Vol. 242, pp. 655700.Google Scholar
Ellingsen, K. and Risso, F. (2001) “On the rise of an ellipsoidal bubble in water: oscillatory paths and liquid-induced velocity,” Journal of Fluid Mechanics, Vol. 440, pp. 235268.Google Scholar
Endres, S. C., Ciacchi, L. C., and Madler, L. (2021) “A review of contact force models between nanoparticles in agglomerates, aggregates, and films,” Journal of Aerosol Science, Vol. 153, 105719.Google Scholar
Epstein, P. S. (1929) “Zur theorie des radiometers,” Zeitschrift für Physik, Vol. 54, pp. 537563.CrossRefGoogle Scholar
Esteban, L. B., Shrimpton, J., and Ganapathisubraman, B. (2019) “Study of the circularity effect on drag of disk-like particles,International Journal of Multiphase Flow, Vol. 110, January, pp. 189197.Google Scholar
Estrade, J.-P., Carentz, H., Lavergne, G., and Biscos, Y. (1999) “Experimental investigation of dynamic binary collision of ethanol droplets – a model for droplet coalescence and bouncing,” International Journal of Heat and Fluid Flow , Vol. 20, pp. 486491.Google Scholar
Faeth, G. M., (1987) “Mixing, transport and combustion in sprays,” Progress in Energy and Combustion Science, Vol. 13, pp. 293345.Google Scholar
Fan, L.-S. and Tsuchiya, K. (1990), Bubble Wake Dynamics in Liquids and Liquid-Solid Suspension. Cambridge: Butterworth-Heinemann.Google Scholar
Fan, L.-S. and Tsuchiya, K. (1993) “Bubble flow in liquid–solid suspension,” Particulate Two-Phase Flow, edited by Roco, M. C.. Butterworth-Heinemann, Cambridge, chapter 23.Google Scholar
Faxen, H. (1922) “Resistance to the movement of a rigid sphere in a viscous fluid bounded by two parallel flat walls,” Annals of Physics, Vol. 68, pp. 89119.Google Scholar
Feldman, D. and Avila, M. (2018) “Overdamped large-eddy simulations of turbulent pipe flow up to Reτ=1500,” Journal of Physics: Conference Series, Vol. 1001, 012016.Google Scholar
Felton, K. and Loth, E. (2001) “Spherical bubble motion in a turbulent boundary layer,” Physics of Fluids, Vol. 13, No. 9, 25642577.Google Scholar
Feng, Z. C. and Leal, L. G. (1997) “Nonlinear bubble dynamics,” Annual Review of Fluid Mechanics , Vol. 29, December, pp. 201243.Google Scholar
Feng, Z.-G. and Michealidis, E. E. (2001) “Drag coefficients of viscous spheres at intermediate and high Reynolds numbers,” Journal of Fluids Engineering , Vol. 123, December, pp. 841849.Google Scholar
Ferry, J. and Balachandar, S. (2001) “A fast Eulerian method for disperse two-phase flow,” International Journal of Multiphase Flow , Vol. 27, pp. 11991226.Google Scholar
Ferry, J. and Balachandar, S. (2002) “Equilibrium expansion for the Eulerian velocity of small particles,” Powder Technology, Vol. 125, No. 2–3, pp. 131139 Google Scholar
Fessler, J. and Eaton, J. (1999) “Turbulence modification by particles in a backward-facing step flow,Journal of Fluid Mechanics, Vol. 394, pp. 97117.Google Scholar
Fessler, J. R., Kulick, J. D., and Eaton, J. K. (1994) “Preferential concentration of heavy particles in a turbulent channel flow,” Physics of Fluids, Vol. 6, pp. 37423749.Google Scholar
Field, S. B., Klaus, M., Moore, M. G. and Nori, F. (1997) “Chaotic dynamics of falling disks,” Nature , Vol. 388, pp. 252254.Google Scholar
Foerster, S. M., Louge, M. Y., Chang, H., and Khedidja, A. (1994) “Measurement of the collision properties of small spheres,” Physics of Fluids, Vol. 6, pp. 11081115.Google Scholar
Fonseca, F. and Herrmann, H. J. (2004) “Sedimentation of oblate ellipsoids at low and moderate Reynolds numbersPhysica A: Statistical Mechanics and Its Applications, Vol. 342, pp. 447461.Google Scholar
Ford, B. and Loth, E. (1998) “Forces on ellipsoidal bubbles in a turbulent free shear layer,” Physics of Fluids, Vol. 10, No. 1, pp. 178188.Google Scholar
Fornari, W., Ardekani, M. N., and Brandt, L. (2018) “Clustering and increased settling speed of oblate particles at finite Reynolds number,” Journal of Fluid Mechanics, Vol. 848, pp. 696721.Google Scholar
Forsberg, F., Goldberg, B. B., Liu, J.-B., Merton, D. A., Rawool, N. M. and Shi, W. T. (1999) “Tissue-specific US contrast agent for evaluation of hepatic and splenic parenchyma,” Radiology, Vol. 210, pp. 125132.Google Scholar
Fortes, A. F., Joseph, D. D., and Lundgren, T. S. (1987) “Nonlinear mechanics of fluidization of beds of spherical particles,” Journal of Fluid Mechanics, Vol. 177, pp. 467483.Google Scholar
Friedman, P. D. and Katz, J. (2002) “Mean rise rate of droplets in isotropic turbulence,” Physics of Fluids, Vol. 14, pp. 30593073.Google Scholar
Gad-el-Hak, M. (1995) “Stokes’ hypothesis for a Newtonian, isotropic fluid,” Journal of Fluids Engineering, Vol. 117, No. 1, pp. 35.Google Scholar
Galdi, G., Vaidya, A., Pokorny, M., Joseph, D. D., and Feng, J. (2002) “Orientation of symmetric bodies falling in a second-order liquid at non-zero Reynolds number,” Mathematical Models and Methods in Applied Sciences, Vol. 12, No. 11, pp. 16531690.Google Scholar
Ganser, G. H. (1993) “A rational approach to drag prediction of spherical and non-spherical particles,” Powder Technology, Vol. 77, pp. 143152.Google Scholar
Garg, K. and Nayar, S. K. (2004) “Photometric model of a raindrop,” in Proceedings of IEEE Conference on Computer Vision and Pattern Recognition, Cambridge. 1063-6919/04.Google Scholar
Garnier, C., Lance, M., and Marie, J.L. (2002) “Measurement of local flow characteristics in buoyancy-driven bubbly flow at high void fraction,” Experimental Thermal and Fluid Science, Vol. 26, pp. 811815.Google Scholar
Garner, F. H. and Hammerton, D. (1954) “Circulation inside gas bubbles,” Chemical Engineering Science, Vol. 3, No. 1, pp. 111.Google Scholar
Gauthier, D., Zerguerra, S., and Flamant, G. (1999) “Influence of the particle size distribution of powders on the velocities of minimum and complete fluidization,” Chemical Engineering Journal, Vol. 74, pp. 181196.Google Scholar
Gauthier, G., Gondret, P. and Rabaud, M. (1998) “Motions of anisotropic particles: application to visualization of three-dimensional flows,” Physics of Fluids, Vol. 10, No. 9, pp. 21472154.Google Scholar
Gavze, E. and Shapiro, M. (1997) “Particles in a shear flow near a solid wall: effect of nonsphericity on forces and velocities,” International Journal of Multiphase Flow, Vol. 23, No. 1, pp. 155182.Google Scholar
Gibou, F. Hyde, D., and Fedkiw, R. (2019) “Sharp interface approaches and deep learning techniques for multiphase flows,Journal of Computational Physics, Vol. 380, pp. 442463.Google Scholar
Gidaspow, D. (1994) Multiphase Flow and Fluidization. Cambridge: Academic Press.Google Scholar
Gloerfelt, X. and Cinnella, P. (2015) “Investigation of the flow dynamics in a channel constricted by periodic hills,” 45th AIAA Fluid Dynamics Conference, Dallas hal-02156763.Google Scholar
Gogus, M., Ipecki, O. N., and Kokpinar, M. A. (2001) “Effect of particle shape on fall velocity of angular particles,” Journal of Hydraulic Engineering , Vol. 127, No. 10, pp. 860869.Google Scholar
Goldman, A. J., Cox, R. G., and Brenner, H. (1967) “Slow viscous motion of a sphere parallel to a plane wall,” Chemical Engineering Science. Vol. 22, pp. 637651.Google Scholar
Gondret, P., Lance, M., and Petit, L. (2002) “Bouncing motion of spherical particles in fluids,” Physics of Fluids, Vol. 14, No. 2, pp. 643652.Google Scholar
Good, G. H., Ireland, P. J., Bewley, G. P., Bodenschatz, E., Collins, L. R., and Warhaft, Z. (2014) “Settling regimes of inertial particles in isotropic turbulence,” Journal of Fluid Mechanics, Vol. 759, R31–R3-12.Google Scholar
Gopalan, B., Malkiel, E., and Katz, J. (2008) “Experimental investigation of turbulent diffusion of slightly buoyant droplets in locally isotropic turbulence,Physics of Fluids, Vol. 20, 095102.Google Scholar
Gotaas, C.Havelka, P.Jakobsen, H.-A.SvendsenH. F., Hase, M.Roth, N., and Weigand, B. (2007) “Effect of viscosity on droplet–droplet collision outcome: Experimental study and numerical comparison,Physics of Fluids, Vol. 19, 102106.Google Scholar
Grace, H. P. (1982) “Dispersion phenomena in high viscosity immiscible fluid systems and application of static mixers as dispersion devices in such systems,” Chemical Engineering Communications, Vol. 14, pp. 225277.Google Scholar
Grace, J. R. (1973) “Shapes and velocities of bubbles rising in infinite liquids,” Transactions of the Institute of Chemical Engineers, Vol. 51, pp. 116120.Google Scholar
Grace, J. R., Wairegi, T., and Nguyen, T. H. (1976) “Shapes and velocities of single drops and bubbles moving freely through immiscible liquids,” Transactions of Institute of Chemical Engineers, Vol. 54, pp. 167173.Google Scholar
Griffith, R. M. (1962) “The effect of surfactants on terminal velocity of drops and bubbles,” Chemical Engineering Science, Vol. 17, pp. 10571070.Google Scholar
Groszmann, D. E., Fallon, T. M., and Rogers, C. B. (1999) “Decoupling the roles of inertia and gravity on the preferential concentration of particles,” in 3rd ASME/JSME Joint Fluids Engineering Conference, FEDSM-99, San Francisco. Cambridge: ASME, pp. 8387.Google Scholar
Güttler, C., Heißelmann, D., Blum, J., and Krijt, S. (2013) “Normal collisions of spheres: a literature survey on available experiments,” arXiv preprint arXiv:1204.0001.Google Scholar
Haberman, W. L. and Morton, R. K. (1953) “Experimental investigation of drag and shape of air bubbles,” David W. Taylor Model Basin Report, Report 802, NS 715-102, Published by Department of Navy, D.C.Google Scholar
Haberman, W. L. and Morton, R. K. (1954) “An experimental study of bubbles moving in liquids,” Transactions of the American Society of Civil Engineers, Vol. 121, pp. 227250.Google Scholar
Hagemans, F. (2020) “Colloidal synthesis, Transmission electron microscopy (TEM), NMR spectroscopy.” https://colloid.nl/people/fabian-hagemans/.Google Scholar
Haider, A. and Levenspiel, O. (1989) “Drag coefficient and terminal velocity of spherical and non-spherical particles,” Powder Technology, Vol. 58, pp. 6370.Google Scholar
Hanna, S. R. (1981) “Lagrangian and Eulerian time-scale relations in the daytime boundary layer,” Journal of Applied Meteorology and Climatology, Vol. 20, pp. 242249.Google Scholar
Happel, J. and Brenner, H. (1973) Low Reynolds Number Hydrodynamics. Cambridge: Noordhoff.Google Scholar
Hartunian, R. A. and Sears, W. R. (1957) “On instability of small gas bubbles moving uniformly in various liquids,” Journal of Fluid Mechanics, Vol. 3, Part 1, pp. 2747.Google Scholar
Head, M. R. (1982) Flow Visualization II. Cambridge: Hemisphere, pp. 399403.Google Scholar
Heron, I., Davis, S., and Bretherton, F. (1975) “On the sedimentation of a sphere in a centrifuge,” Journal of Fluid Mechanics, Vol. 68, pp. 209234.Google Scholar
Herzhaft, B. and Guazzelli, E. (1999) “Experimental study of the sedimentation of dilute and semi-dilute suspensions of fibres,” Journal of Fluid Mechanics, Vol. 384, pp. 133158.Google Scholar
Hinch, E. J. and Acrivos, A. (1979) “Steady long slender droplets in two-dimensional straining motion,Journal of Fluid Mechanics Vol. 91 (3), pp. 404414.Google Scholar
Hinch, E. J. and Acrivos, A. (1980) “Long slender drops in a simple shear flow,Journal of Fluid Mechanics , Vol. 98 (2), pp. 305328.Google Scholar
Hinze, J. O. (1975), Turbulence. Cambridge: McGraw-Hill.Google Scholar
Hirche, D., Birkholz, F., and Hinrichsen, O. (2019) “A hybrid Eulerian–Eulerian–Lagrangian model for gas–solid simulations,Chemical Engineering Journal , Vol. 377 (1), 119743.Google Scholar
Hirschfelder, J. O. and Bird, C. F. (1954Molecular Theory of Gases and Liquids. Cambridge Wiley.Google Scholar
Hoerner, S. F. (1965) Fluid-Dynamic Drag. Self-published: Midland Park.Google Scholar
Homann, H., Bec, J., and Grauer, R. (2013) “Effect of turbulent fluctuations on the drag and lift forces on a towed sphere and its boundary layer,Journal of Fluid Mechanics, Vol. 721, pp. 155179.Google Scholar
Hoque, M. M., Mitra, S., Sathe, M. J., Jose, J. B., and Evans, G. M. (2016) “Experimental investigation on modulation of homogeneous and isotropic turbulence in the presence of single particle using time-resolved PIV,” Chemical Engineering Science, Vol. 153, pp. 308329.Google Scholar
Hosokawa, S. and Tomiyama, A. (2004) ”Turbulence modification in gas–liquid and solid–liquid dispersed two-phase pipe flows,International Journal of Heat and Fluid Flow, Vol. 25 pp. 489498.Google Scholar
Hosokawa, S., and Tomiyama, A. (2013) ”Bubble-induced pseudo turbulence in laminar pipe flows,International Journal of Heat and Fluid Flow, Vol. 40, pp. 97105.Google Scholar
Houghton, H. G. (1950) “Spray nozzles,” in Perry, J. H., ed., Chemical Engineer’s Handbook, 3rd edition. Cambridge: McGraw-Hill, p. 1170.Google Scholar
Hu, S. and Kintner, R. C. (1955) “The fall of single drops through water,” AIChE Journal, Vol. 1, pp. 4248.Google Scholar
Hu, Y. T. and Lips, A. (2003) “Transient and steady state three-dimensional drop shapes and dimensions under planar extensional flow,” Journal of Rheology, Vol. 47, pp. 349369.Google Scholar
Hwang, W. and Eaton, J. K. (2006) “Homogeneous and isotropic turbulence modulation by small heavy (St ∼ 50) particles,” Journal of Fluid Mechanics, Vol. 564, pp. 361393.Google Scholar
Ishii, M. (1975) Thermo-Fluid Dynamic Theory of Two-Phase Flow. Cambridge: Eyrolles.Google Scholar
Jayaweera, K. O. L. F. and Mason, B. J. (1965) “The behavior of freely falling cylinders and cones in viscous fluid,” Journal of Fluid Mechanics. Vol. 22, pp. 709720.Google Scholar
Jeffrey, G. B. (1922) “The motion of ellipsoidal particles immersed in a viscous fluid,” Proceedings of the Royal Society Service A, Vol. 102, pp. 161179.Google Scholar
Jeffrey, R. C. and Pearson, J. R. A. (1965) “Particle motion in a laminar vertical tube flow,” Journal of Fluid Mechanics, Vol. 22, pp. 721735.Google Scholar
Jenkins, J. T. and Savage, S. B. (1983) “A theory for the rapid flow of identical, smooth, nearly elastic particles,Journal of Fluid Mechanics, Vol. 130, pp. 186202.Google Scholar
Jiang, Y. J., Umemura, A., and Law, C. K. (1992) “An experimental investigation on the collision behaviour of hydrocarbon droplets,” Journal of Fluid Mechanics , Vol. 234, pp. 171190.Google Scholar
Jimenez, J. A. and Madsen, O. S. (2003) “A simple formula to estimate settling velocity of natural sediments,Journal of Waterway, Port, Coastal and Ocean Engineering, Vol. 12, pp. 7078.Google Scholar
Johansen, S. T., Anderson, N. M., and De Silva, S. R. (1990) “A two-phase model for particle local equilibrium applied to air classification of powders,Powder Technology, Vol. 63, pp. 121132.Google Scholar
Johnson, K. L. (1985) Contact Mechanics. Cambridge: Cambridge University Press.Google Scholar
Johnson, P. L. (2020) “Predicting the impact of particle–particle collisions on turbophoresis with a reduced number of computational particles,” International Journal of Multiphase Flow, Vol. 124, 103182.Google Scholar
Johnson, P. L., Bassenne, M., and Moin, P. (2020) “Turbophoresis of small inertial particles: theoretical considerations and application to wall-modelled large-eddy simulations,Journal of Fluid Mechanics, Vol. 883, p. A27.Google Scholar
Joseph, D. D. (2006) “Rise velocity of a spherical cap bubble,” Journal of Fluid Mechanics, Vol. 488, pp. 213223.Google Scholar
Joseph, D. D., Belanger, J., and Beavers, B. S. (1999) “Break-up of a liquid drop suddenly exposed to high-speed airstream,” International Journal of Multiphase Flow, Vol. 25, pp. 12631303.Google Scholar
Joseph, G. G. and Hunt, M. L. (2004) “Oblique particle–wall collisions in a liquid,Journal of Fluid Mechanics, Vol. 510, pp. 7193.Google Scholar
Joseph, G. G., Zenit, R., Hunt, M. L., and Rosenwinkel, A. M. (2001) “Particle–wall collisions in a viscous fluid,” Journal of Fluid Mechanics, Vol. 433, pp. 329346.Google Scholar
Josserand, C. and Thoroddsen, S. (2016) “Drop impact on a solid surface,Annual Review of Fluid Mechanics, 48, pp. 365391.Google Scholar
JTJ (2013) “Advanced materials for plasma spray coating.” Retrieved from www.amjtj.com/en/projekty/materialy-pro-plazmove-nastriky.Google Scholar
Kaftori, D., Hetsroni, G. and Banerjee, S. (1995), “Particle behavior in the turbulent boundary layer, Part I. motion, deposition and entrainment,” Physics of Fluids A, Vol. 7, pp. 10951106.Google Scholar
Kameda, M. and Matsumoto, Y. (1996) “Shock waves in a liquid containing small gas bubbles,” Physics of Fluids, Vol. 8, pp. 322335.Google Scholar
Kane, R. S. and Pfeffer, R. (1973) “Heat transfer coefficients of dilute flowing gas-solids suspensions,” NASA-CR-2266.Google Scholar
Kariyasaki, A. (1987) “Behavior of a single gas bubble in a liquid flow with a linear velocity profile,” in Proceedings of the 1987 ASME-JSME Thermal Engineering Joint Conference, ASME, New York. Vol. 5, pp. 261267.Google Scholar
Kawanisi, K. and Shiozaki, R. (2008) “Turbulent effects on the settling velocity of suspended sediment,Journal of Hydraulic Engineering, Vol. 134, pp. 261266.Google Scholar
Keller, J. B. and Kolodner, I. I. (1956) “Damping of underwater explosion bubble oscillations,” Journal of Applied Physics, Vol. 27, pp. 11521161.Google Scholar
Kendoush, A. A. (2003) “The virtual mass of a spherical-cap bubble,” Physics of Fluids, Vol. 15, No. 9, pp. 27822785.Google Scholar
Khismatullin, D. B., Renardy, Y., and Cristini, V. (2003) “Inertia-induced breakup of highly viscous drops subjected to simple shear,” Physics of Fluids, Vol. 15, No. 5, pp. 13511354.Google Scholar
Kim, I., Elghobashi, S. E., and Sirignano, W. (1993) “Three-dimensional flow over two spheres placed side by side,” Journal of Fluid Mechanics, Vol. 246, pp. 465488.Google Scholar
Kim, I., Elghobashi, S., and Sirignano, W. B. (1998) “On the equation for spherical-particle motion: effect of Reynolds and acceleration numbers,” Journal of Fluid Mechanics, Vol. 367, pp. 221253.Google Scholar
Kim, J., Choi, H., Park, H., and Yoo, J. Y. (2014) “Inverse Magnus effect on a rotating sphere: when and why,” Journal of Fluid Mechanics, Vol. 754, pp. R2-1–R2-11.Google Scholar
King, C. J., Hsueh, L., and Mao, K. W. (1965) Liquid phase diffusion of nonelectrolytes at high dilution,” Journal of Chemical and Engineering Data, Vol. 10, No. 4, pp. 348350.Google Scholar
Klaseboer, E., Chevaillier, J.-P., Mate, A., Masbernato, O., and Gourdon, C. (2001) “Model and experiments of a drop impinging on an immersed wall,” Physics of Fluids, Vol. 13, No. 1, pp. 4557.Google Scholar
Kleinstreuer, C. (2003) Two-Phase Flow Theory and Applications. Cambridge: Routledge.Google Scholar
Koebe, M., Bothe, D., and Warnacke, H.-J. (2003) “Direct numerical simulation of air bubbles in water glycerol mixtures: shapes and velocity fields,” Proceedings of the 4th ASME–JSME Joint Fluids Engineering Conference, FEDSM2003–45154, pp. 415421.Google Scholar
Kojima, E., Akehata, T., and Shirai, T. (1968) "Rising velocity and shape of single air bubbles in highly viscous liquids,” Journal of Chemical Engineering of Japan, Vol. 1, pp. 4550.Google Scholar
Kok, J. B. W. (1993) “Dynamics of a pair of gas bubbles moving through liquid. Part I. Theory,” European Journal of Mechanics B: Fluids , Vol. 12, pp. 515540.Google Scholar
Kosinki, P. and Hoffman, A. C. (2010) “An extension of the hard-sphere particle–particle collision model to study agglomeration,Chemical Engineering Science, Vol. 65, pp. 32313239.Google Scholar
Kramer, O., de Moel, P., Baars, E., and van der Hoek, J. P. (2019) “Improvement of the Richardson–Zaki liquid–solid fluidisation model on the basis of hydraulics,” Powder Technology, Vol. 343, February, pp. 465478.Google Scholar
Krishnan, G. and Loth, E. (2015) “Effects of gas and droplet characteristics on drop–drop collision outcome regimes,” International Journal of Multiphase Flow, Vol. 77, pp. 171186.Google Scholar
Krishnan, G.H., Fletcher, K., and Loth, E. (2023) “Influence of Drop Viscosity and Surface Wettability on Impact Outcomes” Coatings Vol. 13, No. 5: 817.Google Scholar
Krogstadt, P. and Antonia, R. (1999) “Surface roughness effects in turbulent boundary layers,” Experiments in Fluids, Vol. 27, pp. 450460.Google Scholar
Kruis, F. E. and Kusters, K. A. (1997), “The collision rate of particle in turbulent flow,” Chemical Engineering Communications , Vol. 158, pp. 201230.Google Scholar
Kubota, M., Akehata, T., and Shirai, T. (1967) “The behavior of single air bubbles in liquids of small viscosity,” Kagaku Kogaku, Vol. 31, pp. 10741080.Google Scholar
Kulick, J. D., Fessler, J. R., and Eaton, J. K. (1994) “Particle response and turbulence modification in fully developed channel flow,” Journal of Fluid Mechanics, Vol. 277, pp. 109134.Google Scholar
Kuo, K. K. (1986) Principles of Combustion. Cambridge: John Wiley & Sons.Google Scholar
Kurose, R. and Komori, S. (1999) “Drag and lift forces on a rotating sphere on a linear shear flow,” Journal of Fluid Mechanics, Vol. 384, pp. 183206.Google Scholar
Kuschel, M. and Sommerfeld, M. (2013) “Investigation of droplet collisions for solutions with different solids content,Experiments in Fluids, Vol. 54, p. 14401447.Google Scholar
Kussin, J. and Sommerfeld, M. (2001) “Investigation of particle behavior and turbulence modification in particle laden channel flow,” International Congress for Particle Technology, Session 12-046 Nuremberg, Germany, March 27–29.Google Scholar
Labous, L., Rosato, A. D., and Dave, R. N. (1997) “Measurements of collisional properties of spheres using high-speed video analysis,” Physical Review E, Vol. 56, pp. 57175725.Google Scholar
Lackme, C. (1973) “Two regimes of a spray column in countercurrent flow,National Heat Transfer Conference, Atlanta, Georgia, USA, AIChE Symposium Series. CONF-730803-6, Vol. 70, p. 59.Google Scholar
Lai, R. Y. S. and Mockros, L. F. (1972) “The Stokes flow drag on prolate and oblate spheroids during axial translatory accelerations,” Journal of Fluid Mechanics, Vol. 52, pp. 115.Google Scholar
Lamb, H. (1945) Hydrodynamics. Cambridge: Dover.Google Scholar
Lance, M. and Bataille, J. (1991) “Turbulence in the liquid phase of a uniform bubbly air-water flow,” Journal of Fluid Mechanics, Vol. 222, pp. 95118.Google Scholar
Langmuir, I. and Blodgett, K. B. (1946) “A mathematical investigation of water droplet trajectories,” Army Air Force Tech. Report 5418, Contract W-33-038-ac-9151.Google Scholar
Lasso, I. A. and Weidman, P. D. (1986) “Stokes drag on hollow cylinders and conglomerates,” Physics of Fluids, Vol. 29, pp. 39213934.Google Scholar
Laufer, J. (1954) “The structure of turbulence in fully developed pipe flow,” NASA Report 1174.Google Scholar
Launder, B. and Spalding, D. (1972) Mathematical Models of Turbulence. Cambridge: Academic Press.Google Scholar
Lawrence, C. J. and Mei, R. (1995) “Long time behavior of the drag on a body in impulsive motion,” Journal of Fluid Mechanics, Vol. 283, pp. 307327.Google Scholar
Leal, L. G. (1980) “Particle motions in a viscous fluid,” Annual Review of Fluid Mechanics, Vol. 12, pp. 435476.Google Scholar
Leal, L. G. (2007) Advanced Transport Phenomena: Fluid Mechanics and Convective Transport Processes. Cambridge: Cambridge University Press.Google Scholar
Le Claire, B. P., Hamielec, A. E., and Pruppacher, H. R. (1970) “A numerical study of the drag on a sphere at low and intermediate Reynolds numbers,” Journal of the Atmospheric Sciences, Vol. 27, pp. 308315.Google Scholar
Lee, S. H., Heng, J., Zhou, D., et al. (2011) “Nano spray drying: A novel method for preparing protein nanoparticles for protein therapy,International Journal of Pharmaceutics, Vol. 403, pp. 192200.Google Scholar
Lee, W. and Lee, J. (2020) “Experiment and modeling of lift force acting on single high Reynolds number bubbles rising in linear shear flow,” Experimental Thermal and Fluid Science, Vol. 115, 110085.Google Scholar
Lefebvre, A. H, Wang, X. F, and Martin, C. A (1988) “Spray characteristics of aerated-liquid pressure atomizers,Journal of Propulsion and Power, Vol. 4, No. 4, pp. 293331.Google Scholar
Legendre, D., Daniel, C., and Guiraud, P. (2005) “Experimental study of a drop bouncing on a wall in a liquid,” Physics of Fluids, Vol. 17, 097105.Google Scholar
Legendre, D. and Magnaudet, J. (1997) “A note on the lift force on a bubble or drop in a low Reynolds number shear flow,” Physics of Fluids, Vol. 9, pp. 35723574.Google Scholar
Legendre, D. and Magnaudet, J. (1998) “Lift force on a bubble in a viscous linear shear flow,” Journal of Fluid Mechanics, Vol. 368, pp. 81126.Google Scholar
Legg, B. J. and Raupach, M. R. (1982) “Markov chain simulation of particle dispersion in inhomogeneous flow,” Boundary Layer Meteorology, Vol. 24, pp. 313.Google Scholar
Leighton, T. G. (2004) “From sea to surgeries, from babbling brooks to baby scans: bubble acoustics at ISVR,” Proceedings of the Institute of Acoustics, Vol. 26, Part 1, pp. 357381.Google Scholar
Leith, D. (1987) “Drag on non-spherical objects,” Aerosol Science and Technology, Vol. 6, pp. 153161.Google Scholar
L’Esperance, D., Trolinger, J. D., Coimbra, C. F., and Rangel, R. H. (2006) “Particle response to low-Reynolds-number oscillation of a fluid in micro-gravity,” AIAA Journal, Vol. 44, pp. 10601064.Google Scholar
Lessen, M., Sadler, G. S., and Liu, T. (1968) “Stability of pipe Poiseuille flow,” Physics of Fluids, Vol. 11, pp. 14041409.Google Scholar
Letan, R. and Kehat, E. (1967) “The mechanics of a spray column,” AlChE Journal , Vol. 13, pp. 443449.Google Scholar
Levich, V. G. (1949) “Motion of a bubble at large Reynolds numbers,” Zhur Eksptl i Teoret Fiz , Vol. 19, pp. 1824.Google Scholar
Levich, V. G. (1962) Physico Chemical Hydrodynamic . Cambridge: Prentice Hall.Google Scholar
Li, X., Dong, M., Jiang, D., Li, S., and Shang, Y. (2020) “The effect of surface roughness on normal restitution coefficient, adhesion force and friction coefficient of the particle-wall collisionPowder Technology, Vol. 362, pp. 1725.Google Scholar
Libbrecht, K. G. (2005) “The physics of snow crystals,” Reports on Progress in Physics, Vol. 68, pp. 855895.Google Scholar
Lide, D., ed. (2005) CRC Handbook of Chemistry and Physics. Cambridge: CRC Press.Google Scholar
Liepmann, H. W. and Roshko, A. (1957) Elements of Gasdynamics . Cambridge: John Wiley & Sons.Google Scholar
Lim, E. A., Coimbra, C. F. M., and Kobayashi, M. H. (2005) “Dynamics of suspended particles in eccentrically rotating flows,” Journal of Fluid Mechanics, Vol. 535, pp. 101110.Google Scholar
Lin, B., Yu, J., and Rics, S. A. (2000) “Direct measurements of constrained Brownian motion of an isolated sphere between two walls,” Physical Review E, Vol. 62, pp. 39093918.Google Scholar
Lin, C. J., Perry, J. H., and Scholwater, W. R. (1970) “Simple shear flow round a rigid sphere: inertial effects and suspension rheology,” Journal of Fluid Mechanics, Vol. 44, pp. 117.Google Scholar
List, R., Retsch, U. W., Byram, A. C., and Lozowski, E. P. (1973) “On the aerodynamics of spheroidal hailstone models,” Journal of the Atmospheric Sciences, Vol. 30, No. 4, pp. 653661,Google Scholar
List, R. and Schemenauer, R. S. (1971) “Free-fall behavior of planar snow crystals, conical graupel and small hail,” Journal of Atmospheric Sciences, Vol. 28, pp. 110115.Google Scholar
Loewenberg, M. (1993) “Stokes resistance, added mass, and Basset force for arbitrarily oriented finite-length cylinder,” Physics of Fluids A, Vol. 5, pp. 765767.Google Scholar
Loisy, A., Naso, A., and Spelt, P. D. M. (2017) “Buoyancy-driven bubbly flows: ordered and free rise at small and intermediate volume fraction,” Journal of Fluid Mechanics, Vol. 816, pp. 94141.Google Scholar
Loth, E. (2000) “Numerical approaches for motion of dispersed particles, bubbles, and droplets,” Progress in Energy and Combustion Sciences , Vol. 26, pp. 161223.Google Scholar
Loth, E. (2008a) “Review: quasi-steady shape and drag of deformable bubbles and drops,International Journal of Multiphase Flow, Vol. 34, pp. 523546.Google Scholar
Loth, E. (2008b) “Review: lift of a spherical particle subject to vorticity and/or spin,” AIAA Journal, Vol. 46, April, pp. 801809.Google Scholar
Loth, E. (2008c) “Drag of non-spherical solid particles of regular and irregular shape,” Powder Technology, Vol. 182, March, pp. 342353.Google Scholar
Loth, (2023) “Richardson-Zaki Exponents for Particles, Drops, and Bubbles” ASME IMECE, New Orleans, October, IMECE2023–109881.Google Scholar
Loth, E., Boris, J., and Emery, M. (1998) “Very large bubble cavitation in a temporally-evolving free shear layer,” ASME Summer Fluids Engineering Meeting, Washington, June.Google Scholar
Loth, E., Daspit, J. T., Jeong, M., Nagata, T., and Nonomura, T. (2021) “Supersonic and hypersonic drag coefficients for a sphere” AIAA Journal, Vol. 59, pp. 32613274.Google Scholar
Loth, E. and Dorgan, A. J. (2009) “An equation of motion for particles of finite size and Reynolds number in a liquid,” Environmental Fluid Mechanics, Vol. 9, pp. 187214.Google Scholar
Loth, E., O’Brien, T. J., Syamlal, M., and Cantero, M. (2004) “Effective diameter for group motion of polydisperse particle mixtures,” Powder Technology, Vol. 142, No. 2–3, pp. 209218.Google Scholar
Loth, E. and Stedl, J. (1999) “Taylor and Lagrangian correlations in a turbulent free shear layer,” Experiments in Fluids, Vol. 26, pp. 16.Google Scholar
Loth, E., Taebi-Rahni, M., and Tryggvason, G. (1997) “Deformable bubbles in a free shear layer,” International Journal of Multiphase Flow, Vol. 23, No. 56, pp. 9771001.Google Scholar
Lovalenti, P. M. and Brady, J. F. (1995) “The temporal behavior of the hydrodynamics force on a body in response to an abrupt change in velocity at small but finite Reynolds number,” Journal of Fluid Mechanics, Vol. 293, pp. 3546.Google Scholar
Loyalka, S. K. (1992) “Thermophoretic force on a single particle I. Numerical solution of the linearized Boltzmann equation,” Journal of Aerosol Science, Vol. 23, pp. 291300.Google Scholar
Lun, C. K. K., Savage, S. B., Jeffrey, D. J., and Chepurmly, N. (1984) “Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flowfield,” Journal of Fluid Mechanics, Vol. 140, pp. 223256.Google Scholar
Maccoll, J. H. (1928) “Aerodynamics of a spinning sphere,” Journal of the Royal Aeronautical Society, Vol. 32, pp. 777798.Google Scholar
Macrossan, N. (2004) “Scaling parameters in rarefied flow and the breakdown of the Navier-Stokes equations,” Technical Report No: 2004/09, Department of Mechanical Engineering, University of Queensland, St Lucia 4072, Australia.Google Scholar
Madhav, G. V., and Chhabra, R. P. (1994) “Settling velocities of non-spherical particles in non-Newtonian polymer solutions,” Powder Technology, Vol. 78, No. 1, pp. 7783.Google Scholar
Maduta, R. and Jakirlic, S. (2012) “An eddy-resolving Reynolds stress transport model for unsteady flow computations,” in Fu, SHaasem, W, Peng, S-H., and Schwamborn, D, eds., Progress in Hybrid RANS-LES Modelling. Cambridge: Springer, pp. 7789.Google Scholar
Maeda, M., Hishida, K., and Furutani, T. (1980) “Optical measurements of local gas and particle velocity in an upward flowing dilute gas–solids suspension,” Polyphase Flow Transport Technology, Century 2– Emerging Technology Conference, San Francisco, pp. 211216.Google Scholar
Magnaudet, J. (2003) “Small inertial effects on a spherical bubble, drop or particle moving near a wall in a time-dependent linear flow,” Journal of Fluid Mechanics, Vol. 485, pp. 115142.Google Scholar
Magnaudet, J. and Eames, I. (2000) “The motion of high-Reynolds-number bubbles in inhomogeneous flows,” Annual Review of Fluid Mechanics, Vol. 32, pp. 659708.Google Scholar
Mainardi, F. and Pironi, P. (1996) “The fractional Langevin equation Brownian motion revisited,” Extracta Mathematicae, Vol. 11, pp. 140154.Google Scholar
Mando, M. (2009) “Turbulence modulation by non-spherical particles,” Ph.D. dissertation in mechanical engineering, Aalborg University.Google Scholar
Marchisio, D. and Fox, R. (2013) Computational Models for Polydisperse Particulate and Multiphase Systems, Cambridge Series in Chemical Engineering. Cambridge: Cambridge University Press.Google Scholar
Marie, J. L., Moursali, E., and Tran-Cong, S. (1997) “Similarity law and turbulence intensity profiles in a bubbly boundary layer at low void fractions,” International Journal of Multiphase Flow, Vol. 23, No. 2, pp. 227247.Google Scholar
Marshall, J. S. (2018) “Modeling and sensitivity analysis of particle impact with a wall with integrated damping mechanismsPowder Technology, Vol. 339, pp. 1724.Google Scholar
Marshall, J. S. and Li, S. (2014) Adhesive Particle Flow. Cambridge: Cambridge University Press.Google Scholar
Martinez-Bazan, C., Montanes, J. L. and Lasheras, J. C. (1999a) “On the breakup of an air bubble injected into a fully developed turbulent flow. Part 1. Breakup frequency,” Journal of Fluid Mechanics, Vol. 401, pp. 157182.Google Scholar
Martinez-Bazan, C., Monatnes, J. L., and Lasheras, J. C. (1999b) “On the breakup of an air bubble injected into a fully developed turbulent flow. Part 2. Size PDF of the resulting daughter bubbles,” Journal of Fluid Mechanics, Vol. 401, pp. 183207.Google Scholar
Martínez-Mercado, J., Palacios-Morales, C. A., and Zenit, R. (2007) “Measurement of pseudo-turbulence intensity in monodispersed bubbly liquids for 10 < Re <500,” Physics of Fluids, Vol. 19, 103302.Google Scholar
Mason, J. (1978) “Physics of a raindrop,” Physics Bulletin, Vol. 29, pp. 364369.Google Scholar
Mathia, V., Huisman, S. G., Sun, C., Lohse, D., and Bourgoin, M. (2018) “Dispersion of air bubbles in isotropic turbulence,” Physics Review Letters, Vol. 121, 054501.Google Scholar
Maude, A. D. and Whitmore, R. L. (1958) “A generalized theory of sedimentation,” British Journal of Applied Physics, Vol. 9, pp. 477482.Google Scholar
Maw, N., Barber, J. R., and Fawcett, J. N. (1976) “The oblique impact of elastic spheres,” Wear, Vol. 38, pp. 101114.Google Scholar
Maxey, M. R. (1987) “The gravitational settling of aerosol particles in homogeneous turbulence and random flow fields,” Journal of Fluid Mechanics, Vol. 174, pp. 441465.Google Scholar
Maxey, M. R. (1993) “Equation of motion for a small rigid sphere in a non-uniform or unsteady flow,” ASME/FED Gas–Solid Flows, Vol. 166, pp. 5762.Google Scholar
Maxey, M. R. and Patel, B. K. (2001) “Localized force representations for particles sedimenting in Stokes flow,” International Journal of Multiphase Flow, Vol. 27, pp. 16031626.Google Scholar
Maxey, M. R., Patel, B. K., Chang, E. J., and Wang, L-P. (1997) “Simulations of dispersed turbulent multiphase flow,” Fluid Dynamics Research, Vol. 20, pp. 143156 Google Scholar
Maxey, M. R. and Riley, J. J. (1983) “Equation of motion for a small rigid sphere in a non-uniform flow,” Physics of Fluids, Vol. 26, No. 4, pp. 883889.Google Scholar
McLaughlin, M. H. (1968) “An experimental study of particle–wall collision relating of flow of solid particles in a fluid,” engineer’s degree thesis, California Institute of Technology, Pasadena.Google Scholar
McLaughlin, J. B. (1991) “Inertial migration of a small sphere in linear shear flows,” Journal of Fluid Mechanics, Vol. 224, pp. 261274.Google Scholar
McLaughlin, J. B. (1996) “Numerical simulation of bubble motion in water,” Journal of Colloid and Interface Science, Vol. 184, pp. 614625.Google Scholar
McNamara, S. and Falcon, E. (2005) “Simulations of vibrated granular medium with impact-velocity-dependent restitution coefficient,’’ Physical Review E, Vol. 71, 031302.Google Scholar
Mei, R. (1992) “An approximate expression for shear lift force on a spherical particle at a finite Reynolds number,” International Journal of Multiphase Flow, Vol. 18, pp. 145147.Google Scholar
Mei, R. (1994) “Effect of turbulence on the particle settling velocity in the nonlinear drag regime,” International Journal of Multiphase Flow, Vol. 20, pp. 273284.Google Scholar
Mei, R. and Adrian, R. J. (1992) “Flow past a sphere with an oscillation in the free-stream and unsteady drag at finite Reynolds number,” Journal of Fluid Mechanics, Vol. 237, pp. 323341.Google Scholar
Mei, R. and Klausner, J. F. (1992) “Unsteady force on a spherical bubble with finite Reynolds number with small fluctuations in the free-stream velocity,” Physics of Fluids A, Vol. 4, No. 1, p. 63.Google Scholar
Mei, R. and Klausner, J. F. (1994) “Shear lift force on spherical bubbles,” International Journal of Heat and Fluid Flow, Vol. 15, No. 1, pp. 6265.Google Scholar
Mei, R., Klausner, J. F., and Lawrence, C. J. (1994) “A note on the history force on a spherical bubble at finite Reynolds number,” Physics of Fluids, Vol. 6, No. 1, pp. 418420.Google Scholar
Mei, R., Lawrence, C. J., and Adrian, R. J. (1991) “Unsteady drag on a sphere at finite Reynolds number with small fluctuations in the free-stream velocity,” Journal of Fluid Mechanics. Vol. 233, pp. 613631.Google Scholar
Melean, Y. and Sigalotti, L. (2005) “Coalescence of colliding van der Waals liquid drops,” International Journal of Heat and Mass Transfer, Vol. 48, pp. 40414061.Google Scholar
Mena, S. E. and Curtis, J. S. (2020) “Experimental data for solid–liquid flows at intermediate and high Stokes numbers,” Journal of Fluid Mechanics. Vol. 883, p. A24.Google Scholar
Mendelson, H. D. (1967) “The prediction of bubble terminal velocities from wave theory,” AIChE Journal, Vol. 13, pp. 250253.Google Scholar
Menter, F. R. (1994) “Two-equation eddy-viscosity turbulence models for engineering applications,” AIAA Journal, Vol. 32, pp. 15981605.Google Scholar
Mercier, J., Lyrio, A., and Forslund, R. (1973) “Three-dimensional study of the nonrectilinear trajectory of air bubbles rising in water,” Journal of Applied Mechanics, Transactions ASME, Vol. 40, Ser. E, No. 3, pp. 650-654.Google Scholar
Michaelides, E. (2006) Particles, Bubbles, and Droplets: Their Motion, Hear and Mass Transfer. Cambridge: World Scientific Publishing.Google Scholar
Millies, M. and Mewes, D. (1999) “Interfacial area density in bubbly flow,” Chemical Engineering and Processing, Vol. 38, pp. 307319.Google Scholar
Millikan, R. A. (1911) “The isolation of an ion: a precision measurement of its charge, and the correction of Stokes’s law,” Physical Review , Vol. 32, p. 349397.Google Scholar
Millikan, R. A. (1923) “Coefficients of slip in gasses and the law of reflection of molecules from the surface of solids and liquids,” Physical Review, Vol. 21, pp. 217238.Google Scholar
Minnaert, M. (1933) “On musical air-bubbles and the sounds of running water,” Philosophical Magazine, Vol. 16, pp. 235248.Google Scholar
Mishin, G. I. (1997) “Experimental investigation of the flight of a sphere in weakly ionized air,” AIAA Paper 1997-2298, June.Google Scholar
Miyahara, T. and Takahashi, T. (1985) “Drag coefficient of a single bubble rising through a quiescent liquid,” International Chemical Engineering, Vol. 25, pp. 146148.Google Scholar
Monchaux, R. and Dejoan, A. (2017) “Settling velocity and preferential concentration of heavy particles under two-way coupling effects in homogeneous turbulencePhysical Review Fluids, Vol. 2, 104302.Google Scholar
Monteith, J. L. and Unsworth, M. H. (1990) Principles of Environmental Physics Cambridge: Academic Press.Google Scholar
Moore, D. W. (1963) “The boundary layer on a spherical gas bubble,” Journal of Fluid Mechanics, Vol. 16, pp. 161176.Google Scholar
Moore, D. W. (1965) “The velocity rise of distorted gas bubbles in a liquid of small viscosity,” Journal of Fluid Mechanics, Vol. 23, pp. 749766.Google Scholar
Moorman, R. W. (1955) “Motion of a spherical particle in the accelerated portion of free-fall,” Ph.D. dissertation, University of Iowa.Google Scholar
Mora, D. A., Obligado, M., Aliseda, A., and Cartellier, A. (2020), “The effect of Reλ and Rouse numbers on the settling of inertial particles in homogeneous isotropic turbulence,” (preprint) American Institute of Physics.Google Scholar
Mudde, R. F. and Saito, T. (2001), “Hydrodynamical similarities between bubble column and bubbly pipe flow,” Journal of Fluid Mechanics. Vol. 437, pp. 203228.Google Scholar
Mugele, R. and Evans, H. D. (1951) “Droplet size distribution in sprays,” Industrial and Engineering Chemistry Research, Vol. 43, pp. 13171324.Google Scholar
Nagata, T., Nonomura, T., Takahashi, S., and Fukuda, K. (2020) “Direct numerical simulation of subsonic, transonic and supersonic flow over an isolated sphere up to a Reynolds number of 1000,” Journal of Fluid Mechanics, Vol. 904, October, pp. A36-1–A36-2.Google Scholar
Narciri, M. A. (1992) “Contribution a l’etude des forces exercees par un liquide sur une bulle de gaz: portance, masse ajoutee et interactions hydrodynamiques,” Ph.D. thesis, L’ecole Centrale De Lyon, Lyons.Google Scholar
Nathan, A. M., Hopkins, J., Chong, L., and Kaczmarski, H. (2006) “The effect of spin on the flight of a baseball,” International Sports Engineering Conference, Munich, July.Google Scholar
Neve, R. S. and Jaafar, F. B. (1982) “The effect of turbulence and surface roughness on the drag of spheres in thin jets,” Aeronautical Journal , Vol. 86, pp. 331336.Google Scholar
Nichols, R. H. and Nelson, C. C. (2003) “Application of hybrid RANS/LES turbulence models,” 41st Aerospace Sciences Meeting and Exhibit, AIAA-2003-083, Reno.Google Scholar
Nielsen, T., Hebb, J., and Darling, S. L. (1999) “Large-scale CFB combustion demonstration project,” 15th International Conference on Fluidized Bed Combustion, Savannah, GA, CONF-990534.Google Scholar
Niven, R. W., Lott, D. F., Ip, A. Y., Somaratne, K. D., and Kearney, M. (1994) “Development and use of an in vitro system to evaluate inhaler devices,” International Journal of Pharmaceutics, Vol. 101, pp. 8187.Google Scholar
Oberbeck, A. (1876) “Ueber Stationäre Flüssigkeitsbewegungen mit Berücksichtigung der inneren Reibung,” Journal für die reine und angewandte Mathematik, Vol. 81, pp. 6280.Google Scholar
Ochs III, H. T., Beard, K. V., Laird, N. F., Holdridge, D. J., and Schaufelbergert, D. E. (1995) “Effects of relative humidity on the coalescence of small precipitation drops in free fall,Journal of the Atmospheric Sciences, Vol. 52, No. 21.Google Scholar
Odar, F. and Hamilton, W. S. (1964) “Forces on a sphere accelerating in a viscous fluid,” Journal of Fluid Mechanics. Vol. 18, pp. 302314.Google Scholar
O’Neill, M. E. (1964) “A slow motion of viscous liquid caused by a slowly moving solid sphere,” Mathematika, Vol. 121, pp. 6774.Google Scholar
Oran, E. S. and Boris, J. P. (1987) Numerical Simulation of Reactive Flow. Cambridge: Elsevier.Google Scholar
Oseen, C. W. (1910) “Uber die Stokessche Formel und uber die verwandte Aufgabe in der Hydrodynamik,” Arkiv för Matematik, Astronomi och Fysik , Vol. 6, No. 29, pp. 120.Google Scholar
Oseen, C. W. (1927) Hydrodynamik. Cambridge: Akademische Verlagsgesellschaft.Google Scholar
Oesterle, B. and Zaichik, L. I. (2004) “On Lagrangian time scales and particle dispersion modeling in equilibrium turbulent shear flows,” Physics in Fluid, Vol. 16, pp. 23742384.Google Scholar
Ounis, H., Ahmadi, G., and McLaughlin, J. B. (1991) “Brownian diffusion of submicrometer particles in viscous sublayer,” Journal of Colloid and Interface Science, Vol. 143, pp. 266277.Google Scholar
Pal, S., Merkle, C. L., and Deutsch, S. (1988) “Bubble characteristics in a microbubble boundary layer,” Physics of Fluids , Vol. 31, pp. 774751.Google Scholar
Palacios, J., Gomez, P., Zanzi, C., Lopez, J., and Hernandez, J. (2010) “Experimental study on the splash/deposition limit in drop impact onto solid surfaces” 23rd Annual Conference on Liquid Atomization and Spray Systems, Brno, Czech Republic.Google Scholar
Pan, F. and Acrivos, A. (1968) “Shape of a drop or bubble at low Reynolds number,” Industrial and Engineering Chemistry Fundamentals, Vol. 7, p. 227232.Google Scholar
Parmar, M., Annamalai, S., Balachandar, S., and Prosperetti, A. (2018) “Differential formulation of the viscous history force on a particle for efficient and accurate computation,” Journal of Fluid Mechanics, Vol. 844, pp. 970993.Google Scholar
Parthasarathy, R. N. and Faeth, G. M. (1990) “Turbulence modulation in homogeneous dilute particle-laden flow,” Journal of Fluid Mechanics, Vol. 220, pp. 485537.Google Scholar
Park, W. C., Klauner, J. F., and Mei, R. (1995) “Unsteady forces on spherical bubbles,” Experiments in Fluids, Vol. 19, pp. 167172.Google Scholar
Pasquill, F. (1974) Atmospheric Diffusion. Cambridge: Ellis Horwood.Google Scholar
Peng, C., Geneva, N., Guo, Z., and Wang, L.-P. (2018) “Overdamped large-eddy simulations of turbulent pipe flow up to Reτ = 1500,Journal of Computational Physics, Vol. 357, pp. 1642.Google Scholar
Petersen, A. J., Baker, L., and Coletti, F. (2019) “Experimental study of inertial particles clustering and settling in homogeneous turbulence,” Journal of Fluid Mechanics, Vol. 864, pp. 925970.Google Scholar
Pettyjohn, E. S. and Christiansen, E. B. (1948) “Effect of particle shape on free settling rates of isometric particles,” Chemical Engineering Progress, Vol. 4, pp. 157172.Google Scholar
Phillips, W. F. (1975) Physics of Fluids, Vol. 18, pp. 10891093.Google Scholar
Pilch, M. and Erdman, C. A. (1987), “Use of break-up time data to predict the maximum size of stable fragment for acceleration induced breakup of a liquid drop,” International Journal of Multiphase Flow, Vol. 13, pp. 741757.Google Scholar
Piomelli, U. (1997) “Introduction to the modeling of turbulence: large eddy and direct simulation of turbulent flows,” von Karman Institute for Fluid Dynamics, Lecture Series 1997-03, March.Google Scholar
Plesset, M. S. (1949) “The dynamics of cavitation bubbles,Journal of Applied Mechanics, Vol. 16, pp. 228231.Google Scholar
Poe, G. G., and Acrivos, A (1975) “Closed-streamline flows past rotating single cylinders and spheres: inertia effects,” Journal of Fluid Mechanics, Vol. 72, pp. 605623.Google Scholar
Poelma, C., Westerweel, J., and Ooms, G. (2007) “Particle–fluid interactions in grid-generated turbulence,” Journal of Fluid Mechanics, Vol. 589, pp. 315351.Google Scholar
Poorte, R. E. G. and Biesheuvel, A. (2002) “Experiments on the motion of gas bubbles in turbulence generated by an active grid,” Journal of Fluid Mechanics, Vol. 461, pp. 127154.Google Scholar
Pope, S. B. (2000) Turbulent Flows. Cambridge: Cambridge University Press.Google Scholar
Prakash, R. S., Gadgil, H., and Raghunandan, B. N. (2014) “Breakup processes of pressure swirl spray in gaseous cross-flowInternational Journal of Multiphase Flow , Vol. 66, pp. 7991.Google Scholar
Prandtl, L. (1905) “über Flüssigkeitsbewegung bei sehr kleiner Reibung,” Verhandlungen des III. Internationalen Mathematiker Kongresses, Heidelberg, 8-13 August B. G. Teubner, Leipzig, pp. 485491.Google Scholar
Prosperetti, A. (1987) “The equation of bubble dynamics in a compressible liquid,” Physics of Fluids, Vol. 30, p. 3626.Google Scholar
Prosperetti, A. (2007) “Averaged equations for multiphase flow,” in Prosperetti, A. and Tryggvason, G., eds., Computational Methods for Multiphase Flow. Cambridge: Cambridge University Press.Google Scholar
Prosperetti, A. and Tryggvason, G., (2007) Computational Methods for Multiphase Flow. Cambridge: Cambridge University Press.Google Scholar
Proudman, I. (1969) “On the flow past a sphere at low Reynolds number,” Journal of Fluid Mechanics, Vol. 37, pp. 759760.Google Scholar
Proudman, I. and Pearson, J. R. A. (1957) “Expansions at small Reynolds number for the flow past a sphere and a cylinder,” Journal of Fluid Mechanics, Vol. 2, pp. 237262.Google Scholar
Putnam, A. (1961) “Integrable form of droplet drag coefficient,” American Rocket Society Journal, Vol. 31, October, pp. 14671468.Google Scholar
Qian, J. and Law, C. K. (1997) “Regimes of coalescence and separation in droplet collision,” Journal of Fluid Mechanics, Vol. 331, pp. 5980.Google Scholar
Qiand, D. (2003) “Bubble motion, deformation, and breakup in stirred tanks,” Ph.D. dissertation in chemical engineering, Clarkson University.Google Scholar
Qin, C., Loth, E., Li, P., Simon, T., and van de Ven, J. (2014) “Spray-cooling concept for wind-based compressed air energy storage,” Journal of Renewable and Sustainable Energy, Vol. 6, 043125.Google Scholar
Radenkovic, D. and Simonon, O. (2018) “Stochastic modelling of three-dimensional particle rebound from isotropic rough wall surface,” International Journal of Multiphase Flow, Vol. 109, pp. 3550.Google Scholar
Ramirez, L. E. S, Lim, E. A., Coimbra, C. F. M., and Kobayashi, M. H. (2003), “On the dynamics of a spherical scaffold in rotating bioreactors,” Biotechnology and Bioengineering, Vol. 84, pp. 382389.Google Scholar
Rani, S. L. & Balachandar, S. (2003) “Evaluation of the equilibrium Eulerian approach for the evolution of particle concentration in isotropic turbulence ,International Journal of Multiphase Flow, Vol. 29, pp. 17931816.Google Scholar
Ranz, W. E. and Marshall, W. R. (1952) “Evaporation from drops – part II,” Chemical Engineering Progress, Vol. 48, pp. 141146.Google Scholar
Rayleigh, L. (1917) “On the pressure developed in a liquid during the collapse of a spherical cavity,Philosophical Magazine, 34 (200): 9498.Google Scholar
Raymond, F. and Rosant, J.-M. (2000) “A numerical and experimental study of the terminal velocity and shape of bubbles in viscous liquids,” Chemical Engineering Science, Vol. 55, pp. 943955.Google Scholar
Reagle, C. J., Delimont, J. M., Ng, W. F., Ekkad, S. V., and Rajendran, V. P. (2013) “Measuring the coefficient of restitution of high speed microparticle impacts using a PTV and CFD hybrid technique,Measurement Science and Technology, Vol. 24, No. 10, p. 105303. Google Scholar
Reeks, M. W. (1977) “On the dispersion of small particles suspended in an isotropic turbulent fluid,” Journal of Fluid Mechanics, Vol. 83, Part 3, pp. 529546.Google Scholar
Reeks, M. W. (2014) “Transport, mixing and agglomeration of particles in turbulent flowsJournal of Physics: Conference Series, Vol. 530, 012003.Google Scholar
Reichardt, T., Tryggvason, G., and Sommerfeld, M. (2017) “Effect of velocity fluctuations on the rise of buoyant bubbles,Computers and Fluids, Vol. 150, pp. 830.Google Scholar
Reichhardt, H. (1951) “Vollständige Darstellung der turbulenten Geschwindigkeitsverteilung in glatten Leitungen,” ZAMM, Vol. 31, pp. 208219.Google Scholar
Reinhart, A. (1964) “Das Verhalten fallender Topfen,” Chemie Ingenieur Technik, Vol. 36, pp. 740746.Google Scholar
Revuelta, A., Rodríguez-Rodríguez, J., and Martínez-Bazán, C. (2006) “Bubble break-up in a straining flow at finite Reynolds numbers,Journal of Fluid Mechanics, Vol. 551, March 25, pp. 175184.Google Scholar
Riboux, G., Risso, F., and Legendre, D. (2010) “Experimental characterization of the agitation generated by bubbles rising at high Reynolds number,” Journal of Fluid Mechanics, Vol. 643, Part 3, pp. 509539.Google Scholar
Richard, D. and Quere, D. (2000) “Bouncing water drops,” Europhysics Letters, Vol. 50, pp. 769775.Google Scholar
Richardson, J. F. and Zaki, W. N. (1954a) “Sedimentation and fluidization: part I,” Transactions of the Institution of Chemical Engineers, Vol. 32, pp. 3553.Google Scholar
Richardson, J. F. and Zaki, W. N. (1954b) “The sedimentation of a suspension of uniform spheres under conditions of viscous flow,” Chemical Engineering Science, Vol. 8, pp. 6573.Google Scholar
Richardson, L. F. (1922) Weather Prediction by Numerical Process. Cambridge: Cambridge University Press.Google Scholar
Risso, F. and Fabre, J. (1998) “Oscillations and break-up of a bubble immersed in a turbulent field,” Journal of Fluid Mechanics, Vol. 372, pp. 323355.Google Scholar
Roessler, D. (1982) “Diesel particle mass concentration by optical techniques,” Applied Optics, Vol. 21, No. 22, pp. 40774086.Google Scholar
Rogers, C. B. and Eaton, J. K. (1991) “The effect of small particles on fluid turbulence in a flat-plate, turbulent boundary layer in air,” Physics of Fluid A: Fluid Dynamics, Vol. 3, pp. 928937.Google Scholar
Rosa, B., Parishani, H., Ayalay, O., and Wang, L.-P. (2016) “Settling velocity of small inertial particles in homogeneous isotropic turbulence from high-resolution DNS,” International Journal of Multiphase Flow, Vol. 83, pp. 217231.Google Scholar
Rosin, P. and Rammler, E. (1933) “The laws governing the fineness of powdered coal,” Institute of Fuel, Vol. 7, pp. 2936.Google Scholar
Rowe, P. N. (1987) “A convenient empirical equation for estimation of the Richardson–Zaki exponent,” Chemical Engineering Science, Vol. 42, p. 27952796.Google Scholar
Rubinow, S. I. and Keller, J. B. (1961) “The transverse force on spinning spheres moving in a viscous liquid,” Journal of Fluid Mechanics, Vol. 11, No. 3, p. 447.Google Scholar
Rybalko, M., Loth, E., and Lankford, D. (2008) “Lagrangian sub-grid particle diffusion for LES/RANS flows,” ASME Fluids Engineering Division Summer Meeting, FEDSM2008–55207, Jacksonville.Google Scholar
Ryskin, G. and Leal, L.G. (1984) “Numerical simulation of free-boundary problems in fluid mechanics. Part 3, bubble deformation in an axisymmetric straining flow,” Journal of Fluid Mechanics, Vol. 148, No. 37, pp 3743.Google Scholar
Sadhal, S. S. and Johnson, R. E. (1983) “Stokes flow past bubbles and drops partially coated with thin films. Part 1, stagnant cap of surfactant film – exact solution,” Journal of Fluid Mechanics, Vol. 126, pp. 237250.Google Scholar
Saffman, P. G. (1956) “On rise of small air bubbles in water,” Journal of Fluid Mechanics, Vol. 1, pp. 249275.Google Scholar
Saffman, P. G. (1965) “The lift on a sphere in slow shear flow,” Journal of Fluid Mechanics, Vol. 22, pp. 385400.Google Scholar
Saffman, P. G. (1968) “The lift on a small sphere in slow shear flow,” Corrigendum, Vol. 31, p. 624.Google Scholar
Saffman, P. G. and Turner, J. S. (1956) “On the collision of drops in turbulent clouds,” Journal of Fluid Mechanics, Vol. 1, pp. 1630.Google Scholar
Sanjeevi, S. K., Kuipers, J. A. M., and Padding, J.T. (2018) “Drag, lift and torque correlations for non-spherical particles from Stokes limit to high Reynolds numbers,” International Journal of Multiphase Flow, Vol. 106, pp. 325337.Google Scholar
Saito, S. (1913) “On the shape of the nearly spherical drop which falls through a viscous fluid,” Science Reports of Tohuku Imperial University, Sendai, Japan, Vol. 2, pp. 179185.Google Scholar
Salem, M. B. and Osterlé, B. (1998) “A shear flow around a spinning sphere: numerical study at moderate Reynolds numbers,” International Journal of Multiphase Flow, Vol. 24, pp. 563585.Google Scholar
Sandeep, C., Luo, L., and Senetakis, K. (2020) “Effect of grain size and surface roughness on the normal coefficient of restitution of single grains,” Materials, Vol. 13, Article 814.Google Scholar
Sangani, A. S., Zhang, D. Z., and Prosperetti, A. (1991) “The added mass, Basset, and viscous drag coefficients in non-dilute bubbly liquids undergoing small-amplitude oscillatory motion,” Physics of Fluids A, Vol. 3, pp. 29552970.Google Scholar
Sankaranarayanan, K., Shan, X., Kevrekidid, I. G., and Sundaresan, S. (2003) “Analysis of drag and virtual mass forces in bubble suspension using an implicit formulation of the Lattice Boltzmann Method,” Journal of Fluid Mechanics, Vol. 452, pp. 61966.Google Scholar
Sano, T. (1981) “Unsteady flow past a sphere at low Reynolds number,” Journal of Fluid Mechanics, Vol. 112, pp. 443441.Google Scholar
Sawatzki, O. (1970) “Stromungsfeld um eine rotierend Kugel ,Acta Mechanica, Vol. 9, pp. 159214.Google Scholar
Sawicki, G. S., Hubbard, M., and Stronge, W. (2003) “How to hit home runs: optimum base-ball bat swing parameters for maximum range trajectories,” American Journal of Physics, Vol. 71, pp. 11521162.Google Scholar
Schaaf, S. A. and Chambre, P. L. (1958) “The flow of rarefied gases,” in Emmons, H. W, ed., Fundamentals of Gas Dynamics. Cambridge: Princeton University Press, pp. 687740.Google Scholar
Schiller, L. and Naumann, A. Z. (1933) “Über die grundlegenden Berechungen bei der Schwerkraftaufbereitung,” Verein Deutscher Ingenieure Ze, Vol. 77, pp. 318320.Google Scholar
Schlichting, H. and Gersten, G. (2017) Boundary Layer Theory, 9th edition, Cambridge: Springer-Verlag.Google Scholar
Sene, K. J., Hunt, J. C. R., and Thomas, N. H. (1994) “The role of coherent structures in bubble transport by turbulent shear flows,” Journal of Fluid Mechanics, Vol. 259, pp. 219240.Google Scholar
Shardt, O. and Derksen, J. J. (2012) “Direct simulations of dense suspensions of non-spherical particles,International Journal of Multiphase Flow, Vol. 47, pp. 2536.Google Scholar
Shew, W. L. and Pinton, J-F. (2006) “Dynamical model of bubble path instability,” Physical Review Letters, Vol. 97, 144508.Google Scholar
Shi, P. and Rzehak, R. (2019) “Lift forces on solid spherical particles in unbounded flows,Chemical Engineering Science, Vol. 208, pp. 363399.Google Scholar
Shi, P., Rzehak, R., Lucas, D., and Magnaudet, J. (2020) “Hydrodynamic forces on a clean spherical bubble translating in a wall-bounded linear shear flow,Physical Review Fluids, Vol. 5, pp. 131.Google Scholar
Shin, D. H., Sandberg, R. D., and Richardson, E. S. (2017) “Self-similarity of fluid residence time statistics in a turbulent round jet,” Journal of Fluid Mechanics, Vol. 823, pp. 125.Google Scholar
Shirolkar, J. S., Coimbra, C. F. M., and Quirez McQuay, M. (1996) “Fundamental aspects of modeling turbulent particle dispersion in dilute flows,” Progress in Energy and Combustion Science, Vol. 22, 115145.Google Scholar
Shyy, W., Thakur, S. S., Ouyang, H., Liu, J., and Blosch, E. (1997) Computational Techniques for Complex Transport Phenomena. Cambridge: Cambridge University Press.Google Scholar
Simonnet, M., Gentric, C., Olmos, E., and Midoux, N. (2007) “Experimental determination of the drag coefficient in a swarm of bubbles” Chemical Engineering Science , Vol. 62, pp. 858866.Google Scholar
Simpkins, P. G. and Bales, E. L. (1972) “Water drop response to sudden accelerations,” Journal of Fluid Mechanics, Vol. 55, pp. 629639.Google Scholar
Singha, A. and Balachandar, R. (2011) “Structure of wake of a sharp-edged bluff body in a shallow channel flow,Journal of Fluids and Structures, Vol. 27, pp. 233249 Google Scholar
Sirignano, W. A. (1993) “Fluid dynamics of sprays – 1992 Freeman Scholar Lecture,” ASME Journal of Fluids Engineering, Vol. 115, pp. 345378.Google Scholar
Sirignano, W. A. (2010) Fluid Dynamics and Transport of Droplets and Sprays. Cambridge: Cambridge University Press.Google Scholar
Sivier, S. A., Loth, E., Baum, J. D., and Lohner, R. (1994) “Unstructured adaptive remeshing finite element method for dusty shock flows,Shock Waves, Vol. 4, No. 1, pp. 3141.Google Scholar
Smith, D. A. and Cheung, K. F. (2003) “Settling characteristics of calcareous sand,Journal of Hydraulic Engineering, June, pp. 479483.Google Scholar
Smoluchowski, M. (1916) "Drei Vorträge über Diffusion, Brownsche Molekularbewegung und Koagulation von Kolloidteilchen," Physikalische Zeitschrift (in German), Vol. 17, pp. 557571, 585599.Google Scholar
Snyder, W. H. and Lumley, J. L. (1971) “Some measurements of particle velocity autocorrelation in approximately isotropic turbulence,” Journal of Fluid Mechanics, Vol. 48, pp. 4171.Google Scholar
Sommerfeld, M. (2001) “Validation of a stochastic Lagrangian modeling approach for inter-particle collisions in homogeneous isotropic turbulence, International Journal of Multiphase Flow, Vol. 27, pp. 18291858.Google Scholar
Sommerfeld, M. and Huber, N. (1999) “Experimental analysis and modeling of particle-wall collisions,” International Journal of Multiphase Flow, Vol. 25, pp. 14571489.Google Scholar
Sommerfeld, M., and Lain, S. (2018) “Stochastic modelling for capturing the behavior of irregular-shaped non-spherical particles in confined turbulent flows,Powder Technology, Vol. 332, pp. 253264.Google Scholar
Sommerfeld, M. and Pasternak, (2019) “Advances in modeling binary droplet collision outcomes in sprays: a review of available knowledge,” International Journal of Multiphase Flow, Vol. 117, pp. 182205.Google Scholar
Sone, W. and Aoki, K. (1983) “Forces on a spherical particle in a slightly rarefied gas,” Progress in Aeronautics and Astronautics, Rarefied Gas Dynamics, Vol. 51, pp. 417433.Google Scholar
Soo, S. L. (1990) Multiphase Fluid Dynamics. Cambridge: Gower Technical.Google Scholar
Sosnick, A. and Seremeta, K. P. (2015) “Advantages and challenges of the spray-drying technology for the production of pure drug particles and drug-loaded polymeric carriers,” Advances in Colloid and Interface Science, Vol. 223, pp. 4054 Google Scholar
Spalart, P. R., Jou, W.-H., Strelets, M., and Allmaras, S. R. (1997) “Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach,” in United States Air Force Office of Scientific Research, Advances in DNS/LES: Direct Numerical Simulation and Large Eddy Simulation, pp. 137148.Google Scholar
Spelt, P. D. M. and Biesheuvel, A. (1997) “On the motion of gas bubbles in homogeneous isotropic turbulence,” Journal of Fluid Mechanics, Vol. 336, pp. 221244.Google Scholar
Springel, V. and Dullemond, C. P. (2011) “Numerische Strömungsmechanik,” chapter 9. www.ita.uni-heidelberg.de/~dullemond/lectures/num_fluid_2011/.Google Scholar
Squires, K. D. (2007) “Point particle models,” in Prosperetti, A. and Tryggvason, G., eds., Computational Methods for Multiphase Flow. Cambridge: Cambridge University Press, pp. 282319.Google Scholar
Squires, K. D. and Eaton, J. K. (1990) “Particle response and turbulence modification in isotropic turbulence,” Physics of Fluids A, Vol. 2, pp. 11911203.Google Scholar
Sridhar, G. and Katz, J. (1995) “Drag and lift forces on microscopic bubbles entrained by a vortex,” Physics of Fluids, Vol. 7, No. 2, pp. 389399.Google Scholar
Stadler, J. R. and Zurick, V. J. (1951) “Theoretical aerodynamic characteristics of bodies in free-molecule flow field,” NACA TN 2423, July, pp. 1253.Google Scholar
Stegeman, Y. V. (2002) “Time dependent behavior of droplets in elongational flows,” Ph.D. thesis, Technische Universiteit Eindhoven.Google Scholar
Stokes, G. G. (1851) “On the effect of the inertial friction of fluids on the motion of pendulums,” Transactions of the Cambridge Philosophical Society, Vol. 9 (part II), pp. 8106 Google Scholar
Stout, J. E., Arya, S. P., and Genikhovich, E. L. (1995) “Effect of nonlinear drag on the motion and settling of heavy particles,” Journal of Atmospheric Sciences, Vol. 52, pp. 38363848.Google Scholar
Stringham, G. E., Simons, D. B., and Guy, H. P. (1969), “The behavior of large particles falling in quiescent liquids,” professional paper, US Geological Survey, 562-C.Google Scholar
Sugiyama, K., Takagi, S., and Matsumoto, Y. (2001) “Multi-scale analysis of bubbly flows,” Computer Methods in Applied Mechanics and Engineering, Vol. 191, pp. 689704.Google Scholar
Sun, T.-Y. and Faeth, G. M. (1986) “Structure of turbulent bubbly jets,” International Journal of Multiphase Flow, Vol. 12, pp. 115126.Google Scholar
Sun, Z.-Q., Yang, X.-B., Wang, H.-D., Li, D.-L., Li, S.-Q., and Lu, Y. (2019) “Ceramic/resin composite powders with uniform resin layer synthesized from SiO2 spheres for 3D technology,Journal of Inorganic Materials, Vol. 34, No. 5, pp. 567572.Google Scholar
Sundaram, S. and Collins, L. (1997) “Collision statistics in an isotropic particle-laden turbulent suspension, part 1: direct numerical simulations,” Journal of Fluid Mechanics, Vol. 335, pp. 75109.Google Scholar
Suslick, K. S. and Flannigan, D. (2005), “Plasma formation and temperature measurement during single-bubble cavitation,” Nature, Vol. 434, March, pp. 5255.Google Scholar
Suslick, K. S. and Price, G. J. (1999) “Applications of ultrasound to materials chemistry,” Annual Review of Materials Science, Vol. 29, pp. 295326.Google Scholar
Swamy, N. V. C., Gowda, B. H. L., and Lakshminath, V. R. (1979) “Auto-correlation measurements and integral time-scales in three-dimensional turbulent boundary layers,” Applied Scientific Research, Vol. 35, pp. 265316.Google Scholar
Syamlal, M., Rogers, W., and O’Brien, T. J. (1993) “MFIX documentation, theory guide,” US Department of Energy Technical Note DOE/METC-94/1004.Google Scholar
Tabakoff, W., Hamed, A., and Murugan, D. M. (1996) “Effect of target materials on the particle restitution characteristics for turbomachinery application,Journal of Propulsion and Power, Vol. 12, No. 2, pp. 260266.Google Scholar
Takagi, S. and Matsumoto, Y. (1999) “Numerical investigations of the lift force acting on bubbles and particles,” 3rd JSME/ASME Joint Fluids Engineering Conference, San Francisco, FEDS99–7848, July.Google Scholar
Takata, S., Aoki, K., and Sone, Y. (1994) “Thermophoresis of a sphere with a uniform temperature: numerical analysis of the Boltzmann equation for hard-sphere molecules,” Progress in Astronautics and Aeronautics, Vol. 159, pp. 626639.Google Scholar
Takato, Y., Benson, M. E., and Sen, S. (2015) “Rich collision dynamics of soft and sticky crystalline nanoparticles: numerical experiments,Physical Review E, Vol. 92, 032403.Google Scholar
Takemura, F. (2004) “Migration velocities of spherical solid particles near a vertical wall for Reynolds number from 0.1 to 5,” Physics of Fluids, Vol. 16, pp. 204207.Google Scholar
Takemura, F. and Magnaudet, J. (2003) “The transverse force on clean and contaminated bubbles rising near a vertical wall at moderate Reynolds number,” Journal of Fluid Mechanics, Vol. 495, pp. 234253.Google Scholar
Takemura, F., Takagi, S., Magnaudet, J., and Matsumoto, Y. (2002) “Drag and lift forces on a bubble rising near a vertical wall in a viscous liquid,” Journal of Fluid Mechanics, Vol. 461, pp. 277300.Google Scholar
Talbot, L., Cheng, R. K., Schefer, R. W., and Willis, D.R. (1980) “Thermophoresis of particles in a heated boundary layer,” Journal of Fluid Mechanics, Vol. 101, pp. 737758.Google Scholar
Tanaka, T. and Eaton, J. K. (2010) “Sub-Kolmogorov resolution particle image velocimetry measurements of particle-laden forced turbulence,” Journal of Fluid Mechanics, Vol. 643, pp. 177206.Google Scholar
Tanaka, T., Yonemura, S., and Tsuji, Y. (1990) “Experiments of fluid forces on a rotating sphere and spheroid,” in Proceedings of the 2nd KSME-JSME Fluids Engineering Conference, Vol. 1, pp. 366369.Google Scholar
Tani, I. (1950) “Baseball’s curved balls,” Kagaku, Vol. 20, pp. 405409.Google Scholar
Taylor, G. I. (1932) “The viscosity of a fluid containing small drops of another fluid,” Proceedings of the Royal Society A, Vol. 138, pp. 4148.Google Scholar
Taylor, G. I. (1934) “The formation of emulsions in definable fields of flow,” Proceedings of the Royal Society A, Vol. 146, pp. 501523.Google Scholar
Taylor, G. I. (1949) “The shape and acceleration of a drop in a high-speed air stream,” for Advisory Council on Scientific Research and Technical Development, Ministry of Supply, AC 10647/Phys. C69.Google Scholar
Taylor, T. D. and Acrivos, A. (1964) “On the deformation and drag of a falling viscous drop at low Reynolds number,” Journal of Fluid Mechanics, Vol. 18, pp. 466476.Google Scholar
Ten Cate, A. and Sundaresan, S. (2006) “Analysis of unsteady forces in ordered arrays,” Journal of Fluid Mechanics, Vol. 552, pp. 257287.Google Scholar
Tennekes, H. and Lumley, J. L. (1972) A First Course in Turbulence. Cambridge: MIT Press. Google Scholar
Theofanous, T. G., Mitkin, V., and Chang, C. (2018) “Shock dispersal of dilute particle clouds,” Journal of Fluid Mechanics, Vol. 841, February, pp. 732745.Google Scholar
Theofanous, T. G. and Sullivan, J. (1982) “Turbulence in two-phase dispersed flow,” Journal of Fluid Mechanics, Vol. 116, pp. 343362.Google Scholar
Thompson, T. L. and Clark, N. N. (1991) “A holistic approach to particle drag prediction,” Powder Technology, Vol. 67, pp. 5766.Google Scholar
Thompson, P. (1972) Compressible Fluid Dynamics. Cambridge: McGraw–Hill.Google Scholar
Thorpe, S. A. (1971) “Experiments on the instability of stratified shear flows: miscible fluids,Journal of Fluid Mechanics, Vol. 46, pp. 299319.Google Scholar
Thornton, C. and Ning, Z. (1998) “A theoretical model for the stick/bounce behaviour of adhesive, elastic-plastic spheres,” Powder Technology, Vol. 99, pp. 154162.Google Scholar
Tomkins, M. R., Baldock, T. E., and Nielsen, P. (2005) “Hindered setting of sand grains,” Sedimentology, Vol. 52, pp. 14251432.Google Scholar
Tomiyama, A. (1998) “Plenary lecture: struggle with computational bubble dynamics,” International Conference on Multiphase Flow, Lyon, France, June.Google Scholar
Tomiyama, A., Celata, G. P., Hosokawa, S., and Yoshida, S. (2002a) “Terminal velocity of single bubbles in surface tension force dominant regime,” International Journal of Multiphase Flow, Vol. 28, pp. 14971519.Google Scholar
Tomiyama, A., Tamai, H., Zun, I., and Hosokawa, S. (2002b) “Transverse migration of single bubbles in simple shear layers,” Chemical Engineering Science, Vol. 57, pp. 18491858.Google Scholar
Torobin, L. B. and Gauvin, W. H. (1960) Canadian Journal of Chemical Engineering , Vol. 38, pp. 142153.Google Scholar
Tran-Cong, S., Gay, M., and Michaelides, E. E. (2004) “Drag coefficients of irregularly shaped particles,” Powder Technology, Vol. 139, pp. 2132.Google Scholar
Tri, B. D., Oesterle, B., and Deneu, F. (1990) “Premiers resultants sur la portance d’une sphere en rotation aux nombres de Reynolds intermediaies,” Comptes rendus de l’Académie des Sciences, Ser. II: Mec., Phys., Chim., Sci. Terre Universe, Vol. 311, pp. 2731.Google Scholar
Tryggvason, G., Scardovelli, R., and Zaleski, S. (2011) Direct Numerical Simulations of Gas–Liquid Multiphase Flows. Cambridge: Cambridge University Press.Google Scholar
Tsao, H. K. and Koch, D. T (1997) “Observations of high Reynolds number bubbles interacting with a rigid wall,” Physics of Fluids, Vol. 9, No. 1, pp. 4456.Google Scholar
Tsouris, C. and Tavlarides, L. L. (1994) “Breakage and coalescence models for drops in turbulent dispersions,” AIChE Journal, Vol. 40, pp. 395406.Google Scholar
Tsuge, H. and Hibino, S. I. (1977) “The onset of oscillatory motion of single gas bubbles rising in various liquids,” Journal of Chemical Engineering of Japan. Vol. 10, pp. 6668.Google Scholar
Tsuji, Y. and Morikawa, Y. (1982) “LDV measurements of an air-solid two-phase flow in a horizontal pipe,” Journal of Fluid Mechanics, Vol. 120, pp. 385409.Google Scholar
Tsuji, Y., Morikawa, Y., and Mizuno, O. (1985) “Experimental measurements of the Magnus force on a rotating sphere at low Reynolds numbers,” Journal of Fluids Engineering, Vol. 107, No. 9, pp. 484488.Google Scholar
Tsuji, Y., Morikawa, Y., and Shiomi, H. (1984) “LDV measurements of an air–solid two-phase flow in a vertical pipe,” Journal of Fluid Mechanics, Vol. 139, pp. 417434.Google Scholar
Tunstall, E. B. and Houghton, G. (1968) “Retardation of falling spheres by hydrodynamic oscillations,” Chemical Engineering Science, Vol. 23, No. 9, pp. 10671081.Google Scholar
Turney, M. A., Cheung, M. K., McCarthy, M. J., and Powell, R. L. (1995) “Magnetic resonance imaging study of sedimenting suspensions of noncolloidal spheres,” Physics of Fluids, Vol. 7, pp. 904911.Google Scholar
Urbin, G. and Knight, D. (2001) “Large eddy simulation of a supersonic boundary layer using an unstructured grid,” AIAA Journal, Vol. 39, No. 7, pp. 12881295.Google Scholar
Vanderwel, C. and Tavoularis, S. (2014) “Measurements of turbulent diffusion in uniformly sheared flow,” Journal of Fluid Mechanics, Vol. 754, pp. 488514.Google Scholar
Van Donkelaar, A. (2010) “Global satellite-derived map of PM2.5 averaged over 2001–2006.” www.nasa.gov/topics/earth/features/health-sapping.html.Google Scholar
Van Driest, E. R. (1956) “On turbulent flow near a wall” Journal of Aeronautical Sciences, Vol. 23, pp. 10071012.Google Scholar
Van Dyke, M. (1982) An Album of Fluid Motion. Cambridge: Parabolic Press.Google Scholar
Van Wachem, B., Curran, T., and Evrard, F. (2020) “Fully correlated stochastic inter‑particle collision model for Euler–Lagrange gas–solid flows,” Flow, Turbulence and Combustion , Vol. 105, pp. 935963.Google Scholar
Van Wijngaarden, T. (1976) “Hydrodynamic interaction between gas bubbles in liquid,Journal of Fluid Mechanics, Vol. 77, pp. 2744.Google Scholar
Van Wijngaarden, T. (1998) “On pseudo turbulence,Theoretical and Computational Fluid Dynamics, Vol. 10, pp. 449458.Google Scholar
Varaksin, A. Y., Polezhaev, Y. V., and Polyakov, A. F. (2000) “Effect of particle concentration on fluctuating velocity of the disperse phase for turbulent pipe flow,International Journal of Heat and Fluid Flow, Vol. 21, pp. 562567.Google Scholar
Vasseur, P. and Cox, R. G. (1977) “The lateral migration of spherical particles sedimenting in a stagnant bounded fluid,” Journal of Fluid Mechanics, Vol. 80, pp. 561591.Google Scholar
Venerus, D. C. and Simavilla, D. N. (2015) “Tears of wine: new insights on an old phenomenon,” Scientific Reports, Vol. 5, 16162.Google Scholar
Wakaba, L. V. and Balachandar, S. (2005) “History force on a sphere in a weak linear shear flow,International Journal of Multiphase Flow, Vol. 31, pp. 9961014.Google Scholar
Waldmann, L. (1961) “On the motion of spherical particles in nonhomogeneous gases,” in Talbot, L, ed., Rarefied Gas Dynamics. Cambridge: Academic Press, pp. 323344.Google Scholar
Wall, S., John, W., Wang, H. C., and Goren, S. L., (1990) “Measurements of kinetic energy loss for particles impacting surfaces,Aerosol Science and Technology, Vol. 12, pp. 926946.Google Scholar
Wallis, G. B. (1969) One-Dimensional Two-Phase Flow. Cambridge: McGraw-Hill.Google Scholar
Wallis, G. B. (1974) “The terminal speed of single drops in an infinite medium,” International Journal of Multiphase Flow, Vol. 1, pp. 491511.Google Scholar
Walsh, D. E. (1988) “A study of factors suspected of influencing the settling velocity of fine gold particles,” University of Alaska Mineral Industry Research Laboratory.Google Scholar
Walter, J. F. and Blanch, H. W. (1986) “Bubble break-up in gas-liquid bioreactors: break-up in turbulent flows,” Chemical Engineering Journal, Vol. 321, pp. B7B17.Google Scholar
Wang, B., Clemens, N. T., Varghese, P. L., and Barlow, R. S. (2008) “Turbulent time scales in a nonpremixed turbulent jet flame by using high-repetition rate thermometry,“ Combustion and Flame, Vol. 152, pp. 317335.Google Scholar
Wang, B. and Manhart, M. (2012) “Two-phase micro- and macro-time scales in particle-laden turbulent channel flows,Acta Mechanica Sinica, Vol. 28, pp. 595604.Google Scholar
Wang, L.-P. and Maxey, M. R. (1993) “Settling velocity and concentration distribution of heavy particles in homogeneous, isotropic turbulence,” Journal of Fluid Mechanics. Vol. 256, pp. 2768.Google Scholar
Wang, L.-P. and Stock, D. E. (1993) “Dispersion of heavy particles by turbulent motion,” Journal of the Atmospheric Sciences, Vol. 50, No. 13, pp. 18971913.Google Scholar
Warnica, W. D., Renksizbulut, M., and Strong, A. B. (1995) “Drag coefficients of spherical liquid droplet. Part II turbulent gaseous fields,” Experiments in Fluids, Vol. 18, pp. 265276.Google Scholar
Watts, R. G. and Ferrer, R. (1987) “The lateral force on a spinning sphere: aerodynamics of a curveball,” American Journal of Physics. Vol. 55, pp. 4044.Google Scholar
Wegener, P. P. and Ashkenas, H. (2006) “Wind tunnel measurements of sphere drag at supersonic speeds and low Reynolds numbers,” Journal of Fluid Mechanics, Vol. 10, No. 4, pp. 550560.Google Scholar
Wegener, P. P., Sundell, R. E., and Parlange, J.-Y. (1971) “Spherical-cap bubbles rising in liquids,” Z. Flugwissenschaften, Vol. 19, pp. 347352.Google Scholar
Weir, G. and Tallon, S. (2005) “The coefficient of restitution for normal incident, low velocityparticle impacts,Chemical Engineering Science, Vol. 60, pp. 36373647.Google Scholar
Welleck, R. M., Agrawal, A. K., and Skelland, A. H. P. (1966) “Shape of liquid drops moving in liquid media,” AIChE Journal, Vol. 12, pp. 854862.Google Scholar
Wells, M. R. and Stock, D. E. (1983) “The effects of crossing trajectories on the dispersion of particles in a turbulent flow,” Journal of Fluid Mechanics, Vol. 136, pp. 3162.Google Scholar
Wen, C. Y. and Yu, Y. H. (1966) “Mechanics of fluidization,” Chemical Engineering Progress Symposium Series, Vol. 62, pp. 100111.Google Scholar
Wen, F., Kamalu, N., Chung, J. N., Crowe, C. T., and Trout, T. R. (1992) “Particle dispersion by vortex structures in plane mixing layers,” Journal of Fluids Engineering, Vol. 114, pp. 657666.Google Scholar
Werlé, H. (1980) “Transition and separation: visualizations in the ONERA water tunnel,” La Recherche aérospatial, Vol. 1980–5, pp. 3549.Google Scholar
White, F. M. (2016) Viscous Fluid Flow. Cambridge: McGraw-Hill.Google Scholar
Wilcox, D. C. (2006) Turbulence Modeling for CFD, 3rd edition. Cambridge: DCW Industries.Google Scholar
Williams, F. A. (1965) Combustion Theory . Cambridge: Addison-Wesley.Google Scholar
Williams, J. J. E. and Crane, R. I. (1983) “Particle collision rate in turbulent flow,” International Journal of Multiphase Flow, Vol. 9, pp. 421435.Google Scholar
Willis, K. D. and Orme, M. E. (2000) “Experiments on the dynamics of droplet collisions in a vacuum,” Experiments in Fluids, Vol. 29, pp. 347358.Google Scholar
Willmarth, W. W., Hawk, N. E., and Harvey, R. L. (1964) “Steady and unsteady motions and wakes of freely falling disks,” Physics of Fluids, Vol. 7, pp. 197208.Google Scholar
Winnikow, S. and Chao, B. T. (1966) “Droplet motion in purified systems,” Physics of Fluids, Vol. 9, pp. 5061.Google Scholar
Wolfrum, B., Mettin, R., Kurz, T., and Lauterborn, W. (2003) “Cavitation induced cell detachment and membrane permeabilization,” 2003 IEEE Ultrasonics Symposium-837.Google Scholar
Wu, J.-S. and Faeth, G. M. (1994) “Sphere wakes at moderate Reynolds numbers in a turbulent environment,” AIAA Journal, Vol. 32, No. 2, pp. 535554.Google Scholar
Wu, M. and Gharib, M. (2002) “Experimental studies on the shape and path of small air bubbles rising in clean water,” Physics of Fluids, Vol. 14, No. 49, 10.1063/1.1485767.Google Scholar
Wu, W., and Wang, S. S. (2006) “Formulas for sediment porosity and settling velocity,” Journal of Hydraulic Engineering, Vol. 132, pp. 858862.Google Scholar
Wu, X. and Adrian, R. J. (2012) “Direct numerical simulation of a 30R long turbulent pipe flow at R+ = 685: large- and very large-scale motions,Journal of Fluid Mechanics, Vol. 698, pp. 235281.Google Scholar
Wygnanski, I. and Fiedler, H. (1969) “Some measurements in the self-preserving jet,” Journal of Fluid Mechanics, Vol. 38, pp. 577612.Google Scholar
Wygnanski, I. and Fiedler, H. (1970) “The two-dimensional mixing region,” Journal of Fluid Mechanics, Vol. 41, pp. 327361.Google Scholar
Xie, H.-Y. and Zhang, D.-W. (2001) “Stokes shape factor and its application in the measurement of spherity of non-spherical particles,Powder Technology, Vol. 114, pp. 102105.Google Scholar
Yamamato, K. and Ishihara, Y. (1988) “Thermophoresis of a spherical particle in a rarefied gas of a transition regime,” Physics of Fluids, Vol. 31, pp. 36183624.Google Scholar
Yan, X., Jia, Y., Wang, L., and Cao, Y. (2017) “Drag coefficient fluctuations of a single bubble rising in water,” Chemical Engineering Journal, Vol. 316, pp. 553562.Google Scholar
Yang, X., Muhlassen, M.-P., and Frohlich, J. (2021) “Efficient simulation of bubble dispersion and resulting interaction,Experimental and Computational Multiphase Flow, Vol. 3, No. 3, pp. 152170.Google Scholar
Yang, T. S. and Shy, S. S. (2003) “The settling velocity of heavy particles in an aqueous near-isotropic turbulence,” Physics of Fluids, Vol. 15, No. 4, pp. 868880.Google Scholar
Yang, T. S. and Shy, S. S. (2005) “Two-way interaction between solid particles and homogenous air turbulence: particle settling rate and turbulence modification measurements,” Journal of Fluid Mechanics, Vol. 526, pp. 171216.Google Scholar
Yeong, Y., Burton, J., and Loth, E. (2014) “Drop impact and rebound dynamics on an inclined superhydrophobic surface,Langmuir, Vol. 30, pp. 1202712038.Google Scholar
Yih, C. (1969) Fluid Mechanics. Cambridge: McGraw-Hill.Google Scholar
Yoshizawa, A. and Horiuti, K. (1985) “A statistically-derived subgrid-scale kinetic energy model for the large-eddy simulation of turbulent flows,” Journal of the Physical Society, Vol. 54, pp. 28342839.Google Scholar
Young, J. and Leeming, A. (1997) “A theory of particle deposition in a turbulent pipe flow,” Journal of Fluid Mechanics, Vol. 340, pp. 129159.Google Scholar
Young, J. B. and Hanratty, T. J. (1991) “Trapping of solid particles at a wall in a turbulent flow,” AIChE Journal , Vol. 37, No. 10, pp. 15291536.Google Scholar
Yuan, C., Fox, R. O. (2011) “Conditional quadrature method of moments for kinetic equations,Journal of Computational Physics, Vol. 230, pp. 82168246.Google Scholar
Yuan, H. and Prosperetti, A. (1994) “On the in-line motion of two spherical bubbles in a viscous fluid,” Journal of Fluid Mechanics, Vol. 278, pp. 325349.Google Scholar
Zakharov, L. V., Ovchinnikov, A. A., and Nikolayev, N.A. (1993) “Modeling of the effect of turbulent two-phase flow friction decrease under the influence of dispersed phase elements,” International Journal of Heat and Mass Transfer, Vol. 36, pp. 19811991.Google Scholar
Zayas, G., Chiang, M. C., Wong, E., et al. (2012) “Cough aerosol in healthy participants: fundamental knowledge to optimize droplet-spread infectious respiratory disease management,BMC Pulmonary Medicine, Vol. 12, Article 11.Google Scholar
Zeng, L., Najjar, F., Balachandar, S., and Fisher, P. (2009) “Forces on a finite-sized particle located close to a wall in a linear shear flow,Physics of Fluids, Vol. 21, 033302.Google Scholar
Zenit, R., Koch, D. L., and Sangani, A. S. (2001) “Measurements of the average properties of a suspension of bubbles rising in a vertical channel,” Journal of Fluid Mechanics, Vol. 429, pp. 307342.Google Scholar
Zhang, D. Z. and Prosperetti, A. (1994) “Averaged equations for inviscid dispersed two-phase flow,” Journal of Fluid Mechanics, Vol. 267, pp. 185219.Google Scholar
Zhang, Z. (2019) “Micro-bubble dynamics in turbulent flow,” Ph.D. dissertation, University of Toulouse, Institut National Polytechnique de Toulouse.Google Scholar
Zhao, B., Chen, C., and Tan, Z. (2009) “Modeling of ultrafine particle dispersion in indoor environments with an improved drift flux model” Aerosol Science, Vol. 40, pp. 2943.Google Scholar
Zhao, L., Andersson, H. I., and Gillissen, J. J. J. (2013) ”Interphasial energy transfer and particle dissipation in particle-laden wall turbulence,” Journal of Fluid Mechanics, Vol. 715, pp. 3259.Google Scholar
Zheng, F. (2002) “Thermophoresis of spherical and non-spherical particles: a review of theories and experiments,” Advances in Colloid and Interface Science, Vol. 97, pp. 255278.Google Scholar
ZhongH, Chen, S, and Lee, C (2011) “Experimental study of freely falling thin disks: transition from planar zigzag to spiral,” Physics of Fluids, Vol. 23, 011702https://doi.org/10.1063/1.3541844.Google Scholar
Ziegenhein, T., Tomiyama, A., and Lucas, D. (2018) “A new measuring concept to determine the lift force for distorted bubbles in low Morton number system: results for air/waterInternational Journal of Multiphase Flow, Vol. 108, pp. 1124.Google Scholar
Zuber, N. (1964) “On the dispersed two-phase flow in the laminar flow regime,” Chemical Engineering Science, Vol. 19, pp. 897917.Google Scholar
Zun, I., Kljenek, I., and Serizaw, A. (1992) “Bubble coalescence and transition from wall void peaking to core void peaking in turbulent bubbly flow,” in Jones, O. C. and Michiyoshi, I., eds., Dynamics of Two-Phase Flows. Cambridge: CRC Press, pp. 233239.Google Scholar

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  • References
  • Eric Loth, University of Virginia
  • Book: Fluid Dynamics of Particles, Drops, and Bubbles
  • Online publication: 28 July 2023
  • Chapter DOI: https://doi.org/10.1017/9781139028806.014
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  • References
  • Eric Loth, University of Virginia
  • Book: Fluid Dynamics of Particles, Drops, and Bubbles
  • Online publication: 28 July 2023
  • Chapter DOI: https://doi.org/10.1017/9781139028806.014
Available formats
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  • References
  • Eric Loth, University of Virginia
  • Book: Fluid Dynamics of Particles, Drops, and Bubbles
  • Online publication: 28 July 2023
  • Chapter DOI: https://doi.org/10.1017/9781139028806.014
Available formats
×