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Numerical Investigation of “Frog-Leap” Mechanisms of Three Particles Aligned Moving in an Inclined Channel Flow

Published online by Cambridge University Press:  10 March 2015

Xiao-Dong Niu
Affiliation:
College of Eengineering, Shantou University, Shantou 515063, China Energy Conversion Research Center, Department of Mechanical Engineering, Doshisha University, Kyoto 630-0321, Japan
Ping Hu
Affiliation:
College of Eengineering, Shantou University, Shantou 515063, China
Xing-Wei Zhang*
Affiliation:
College of Eengineering, Shantou University, Shantou 515063, China
Hui Meng
Affiliation:
College of Eengineering, Shantou University, Shantou 515063, China
Hiroshi Yamaguchi
Affiliation:
Energy Conversion Research Center, Department of Mechanical Engineering, Doshisha University, Kyoto 630-0321, Japan
Yuhiro Iwamoto
Affiliation:
Energy Conversion Research Center, Department of Mechanical Engineering, Doshisha University, Kyoto 630-0321, Japan
*
*Corresponding author. Email: [email protected] (X. W. Zhang)
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Abstract

Intrigued by our recent experimental work (H. Yamaguchi and X. D. Niu, J. Fluids Eng., 133 (2011), 041302), the present study numerically investigate the flow-structure interactions (FSI) of three rigid circular particles aligned moving in an inclined channel flow at intermediate Reynolds numbers by using a momentum-exchanged immersed boundary-lattice Boltzmann method. A ”frog-leap” phenomenon observed in the experiment is successfully captured by the present simulation and flow characteristics and underlying FSI mechanisms of it are explored by examining the effects of the channel inclined angles and Reynolds numbers. It is found that the asymmetric difference of the vorticity distributions on the particle surface is the main cause of the “frog-leap” when particle moves in the boundary layer near the lower channel boundary.

Type
Research Article
Copyright
Copyright © Global-Science Press 2015 

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References

[1]Soo, S. L., Fluid Dynamics of Multiphase Flow, Blaisdell Publishing Company, Waltham (Massachusetts), Toronto, London, 1967.Google Scholar
[2]Hocking, L. M., The behaviour of clusters of spheres falling in a viscous fluid, part 2: slow motion theory, J. Fluid Mech., 20 (1963), pp. 129139.Google Scholar
[3]Jayaweera, K. O. L. F. and Mason, B. J., The behaviour of clusters of spheres falling in a viscous fluid, part 1: experiment, J. Fluid Mech., 20 (1963), pp. 121128.Google Scholar
[4]Jayaweera, K. O. L. F. and Mason, B. J., The behaviour of freely falling cylinders and cones in a viscous fluid, J. Fluid Mech., 22 (1965), pp. 709720.Google Scholar
[5]Crowley, J. M., Viscosity induced instability of a one-dimensional lattice of falling spheres, J. Fluid Mech., 45 (1971), pp. 151159.Google Scholar
[6]Ekiel-Jeżewska, M. L., Metzger, B., and Guazzelli, E., Spherical cloud of point particles falling in a viscous fluid, Phys. Fluids, 18 (2006), 038104.Google Scholar
[7]Koch, D. L., and Subramanian, G., Collective hydrodynamics of swimming microorganisms: living fluids, Annu. Rev. Fluid Mech., 43 (2011), pp. 637659.Google Scholar
[8]Jenny, M., Dušek, J., and Bouchet, G., Instabilities and transition of a sphere falling or ascending freely in a Newtonian fluid, J. Fluid Mech., 508 (2004), pp. 201239.CrossRefGoogle Scholar
[9]Ardekani, A. M. and Rangel, R. H., Unsteady motion of two solid spheres in Stokes flow, Phys. Fluids, 18 (2006), 103306.Google Scholar
[10]Daniel, W. B., Ecke, R. E., Subramanian, G. and Koch, D., Clusters of sedimenting high-Reynolds-number particles, J. Fluid Mech., 625 (2009), pp. 371385.Google Scholar
[11]Mucha, P. J., Tee, S. Y., Weitz, D. A., Shraiman, B. I., and Brenner, M. P., A model for velocity fluctuations in sedimentation, J. Fluid Mech., 501 (2004), pp. 71104.Google Scholar
[12]Tornberg, A.-K. and Shelley, M. J., Simulating the dynamics and interactions of flexible fibers in Stokes flow, J. Comput. Phys., 196 (2004), pp. 840.Google Scholar
[13]Wang, X. S., and Liu, W. K., Extended immersed boundary method using FEM and RKPM, Comput. Meth. Appl. Mech. Eng., 193 (2004), pp. 13051321.Google Scholar
[14]Liu, W. K., Kim, D. W. and Tang, S., Mathematical foundations of the immersed finite element method, Comput. Mech., 39 (2006), pp. 211222.CrossRefGoogle Scholar
[15]Grigoriadis, D. G. E., Kassinos, S. C., and Votyakov, E. V., Immersed boundary method for the MHD flows of liquid metals, J. Comput. Phys., 228 (2009), pp. 903920.Google Scholar
[16]Pedley, T. J. and Kessler, J. Q., Hydrodynamic phenomena in suspensions of swimming microorganisms, Annu. Rev. Fluid Mech., 24 (1992), pp. 313358.Google Scholar
[17]Isneros, L. H., Cortez, R., Dombrowski, C., Goldstein, R. E., and Kessler, J. O., Fluid dynamics of self-propelled microorganisms, from individuals to concentrated populations, Exp. Fluids, 43 (2007), pp. 737753.Google Scholar
[18]Darnton, N. C., Turner, L., Rojevsky, S., and Berg, H. C., Dynamics of bacterial swarming, Biophys. J., 98(10) (2010), pp. 20822090.CrossRefGoogle ScholarPubMed
[19]Gregor, T., Fujimoto, K., Masaki, N. and Sawai, S., The onset of collective behaviour in social amoebae, Science, 328 (5981) (2010), pp. 10211025.Google Scholar
[20]Thiffeault, J.-L. and Childress, S., Stirring by swimming bodies, Phys. Lett. A, 374(34) (2010), pp. 34873490.Google Scholar
[21]Joseph, D. D., Flow induced microstructure in Newtonian and viscoelastic fluids, Proc. 5th World Congress of Chem. Eng. Particle Technology Track, San Diego, July 14-18, 1996.Google Scholar
[22]Feng, J., Huang, P. Y. and Joseph, D. D., Dynamic simulation of the motion of capsules in pipelines, J. Fluid Mech., 286 (1995), pp. 201227.Google Scholar
[23]Joseph, D. D., Nelson, J., Hu, H. and Liu, Y. J., Competition between inertial pressures in the flow induced anisotropy of solid particles, in Theoretical and Applied Rheology, Moldenaers, P. and Keunings, R. (eds.), Elsevier, Amsterdam, 1992, 6064.Google Scholar
[24]Yamaguchi, H. and Niu, X. D., A solid-liquid two-phase flow measurement using an electromag-netically induced signal measurement method, J. Fluids Eng., 133 (2011), pp. 041302.1–041302.6.Google Scholar
[25]Niu, X. D., Shu, C., Chew, Y. T. and Peng, Y., A momentum exchange-based immersed boundary-lattice Boltzmann method for simulating incompressible viscous flows, Phys. Lett. A, 354 (2006), pp. 173182.Google Scholar
[26]Grad, H., On the kinetic theory of rarefied gases, Commun. Pure Appl. Math., 2 (1949), pp. 331407.CrossRefGoogle Scholar
[27]Ladd, A. J. C. and Verberg, R., Lattice-Boltzmann simulation of particle-fluid suspensions, J. Stat. Phys., 104 (2001), pp. 11911251.CrossRefGoogle Scholar
[28]Peskin, C. S., The immersed boundary method, Acta Numer., 11 (2002), pp. 479517.CrossRefGoogle Scholar
[29]Dutsch, H., Durst, F., Becker, S. and Lienhart, H., Low-Reynolds-number flow around an oscillating circular cylinder at low Keulegan-Carpenter numbers, J. Fluid Mech., 360 (1998), pp. 249271.Google Scholar
[30]Kang, S. Y., Immersed Boundary Methods in the Lattice Boltzmann Equation for Flow Simulation, Doctor Thesis, Texas A&M University, 2010.Google Scholar
[31]Feng, Z. G. and Michaelides, E. E., Robust treatment of no-slip boundary condition and velocity updating for the lattice-Boltzmann simulation of particulate flows, Comput. Fluids, 38 (2008), pp. 370381.Google Scholar
[32]Feng, Z. G. and Michaelides, E. E., The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems, J. Comput. Phys., 195 (2004), pp. 602628.Google Scholar