Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-05T09:47:58.308Z Has data issue: false hasContentIssue false

A DNS study of effects of particle–particle collisions and two-way coupling on particle deposition and phasic fluctuations

Published online by Cambridge University Press:  13 November 2009

HOJJAT NASR
Affiliation:
Department of Mechanical and Aeronautical Engineering, Clarkson University, Potsdam, NY 13699-5725, USA
GOODARZ AHMADI*
Affiliation:
Department of Mechanical and Aeronautical Engineering, Clarkson University, Potsdam, NY 13699-5725, USA
JOHN B. MCLAUGHLIN
Affiliation:
Department of Chemical and Biomolecular Engineering, Clarkson University, Potsdam, NY 13699-5725, USA
*
Email address for correspondence: [email protected]

Abstract

This study is concerned with the effects of particle–particle collisions and the two-way coupling on the dispersed and carrier phase turbulence fluctuations in a channel flow. The time history of the instantaneous turbulent velocity vector was generated by the two-way coupled direct numerical simulation of the Navier–Stokes equations via a pseudo-spectral method. The particle equation of motion included the wall-corrected nonlinear drag force and the wall-induced and shear-induced lift force. The effect of particles on the flow was included in the analysis via a feedback force that acted on the computational grid points. Several simulations for different particle relaxation times and particle mass loadings were performed, and the effects of particle–particle collisions, particle feedback force and inter-particle interactions on the particle deposition velocity, fluid and particle fluctuating velocities, and particle concentration profiles were determined. The effect of particle aerodynamic interactions was also examined for certain cases.

The simulation results indicated that when particle–particle collisions were included in the computation but two-way coupling effects were ignored, the particle normal fluctuating velocity increased in the wall region causing an increase in the particle deposition velocity. When the particle collisions were neglected but the particle–fluid two-way coupling effects were accounted for, the two-way coupling and the particle normal fluctuating velocity decreased near the wall causing a decrease in the particle deposition velocity. In the case of the four-way coupling in which both inter-particle collisions and two-way coupling effects were present, it was found that the particle deposition velocity increased compared with the one-way coupling case. When the particle aerodynamic interactions were added to the four-way coupled case (termed six-way coupled case), no significant changes in the mean fluid and particle velocities and the fluid and particle fluctuating velocities were obtained.

The results for the particle concentration profile indicated that the inclusion of two-way coupling or inter-particle collisions into the computation reduced the accumulation of particles near the wall. It was also observed that particle–particle collisions and two-way coupling weakened the preferential distribution of particles.

Type
Papers
Copyright
Copyright © Cambridge University Press 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Arcen, B., Taniére, A. & Oesterle, B. 2006 On the influence of near-wall forces in particle-laden channel flows. Intl J. Multiphase Flow 32, 13261339.Google Scholar
Ardekani, A. M. & Rangel, R. H. 2006 Unsteady motion of two solid spheres in Stokes flow. Phys. Fluids 18 (103306), 114.CrossRefGoogle Scholar
Ayala, O., Grabowski, W. W. & Wang, L. P. 2007 A hybrid approach for simulating turbulent collisions of hydrodynamically-interacting particles. J. Comput. Phys. 225, 5173.Google Scholar
Beard, K. V. & Pruppacher, H. R. 1971 A wind tunnel investigation of the rate of evaporation of small water drop falling at terminal velocity in air. J. Atmos. Sci. 28, 14551464.2.0.CO;2>CrossRefGoogle Scholar
Brooke, J. W., Kontomaris, K., Hanratty, T. J. & McLaughlin, J. B. 1992 Turbulent deposition and trapping of aerosols at a wall. Phys. Fluids A 4, 825834.CrossRefGoogle Scholar
Caporaloni, M., Tampieri, F., Trombetti, F. & Vittori, O. 1975 Transfer of particles in nonisotropic air turbulence. J. Atmos. Sci. 32, 565568.2.0.CO;2>CrossRefGoogle Scholar
Caraman, N., Boree, J. & Simon, O. 2003 Effects of collisions on the dispersed phase fluctuation in a dilute tube flow: experimental and theoretical analysis. Phys. Fluids 15, 36023612.Google Scholar
Chen, M., Kontomaris, K. & McLaughlin, J. B. 1997 a Direct numerical simulation of droplet collisions in a turbulent channel flow-I. Collision algorithm. Intl J. Multiphase Flow 24, 10791103.Google Scholar
Chen, M., Kontomaris, K. & McLaughlin, J. B. 1997 b Direct numerical simulation of droplet collisions in a turbulent channel flow-II. Collision rate. Intl J. Multiphase Flow 24, 11051138.CrossRefGoogle Scholar
Chen, M. & McLaughlin, J. B. 1995 A new correlation for the aerosol deposition rate in vertical ducts. J. Colloid Interface Sci. 169, 437455.Google Scholar
Cleaver, J. W. & Yates, B. 1975 A sublayer model for deposition of the particles from turbulent flow. Chem. Engng Sci. 30, 983.CrossRefGoogle Scholar
Clift, R., Grace, J. R. & Weber, M. E. 1978 Bubbles, Drops and Particles. Academic Press.Google Scholar
Elghobashi, S. & Truesdell, G. C. 1993 On the two-way interaction of particle dispersion in a decaying isotropic turbulence. Phys. Fluids A 5, 17901801.CrossRefGoogle Scholar
Fan, F. G. & Ahmadi, G. 1993 A sublayer model for turbulent deposition of particles in vertical ducts with smooth and rough surfaces. J. Aerosol Sci. 24, 45.CrossRefGoogle Scholar
Fessler, J. R. & Eaton, J. K. 1994 Turbulence modification by particles in a backward facing step. J. Fluid Mech. 394, 97117.Google Scholar
Friedlander, S. K. & Johnstone, H. F. 1957 Deposition of suspended particles from turbulent gas streams. Ind. Engng Chem. 49, 11511156.CrossRefGoogle Scholar
Hadinoto, K., Jones, E. N., Yurteri, C. & Curtis, J. S. 2005 Reynolds number dependence of gas-phase turbulence in gas-particle flows. Intl J. Multiphase Flow 31, 416434.CrossRefGoogle Scholar
He, C. & Ahmadi, G. 1999 Particle deposition in a nearly developed turbulent duct flow with electrophoresis. J. Aerosol Sci. 30, 739.CrossRefGoogle Scholar
Hetsroni, G. & Sokolov, M. 1971 Distribution of mass, velocity and intensity of turbulence in a two-phase turbulence jet. Trans. ASME J. Appl. Mech. 38, 315327.Google Scholar
Kulick, J. D., Fessler, J. R. & Eaton, J. K. 1994 Particle response and turbulence modification in fully developed channel flow. J. Fluid Mech. 277, 109134.CrossRefGoogle Scholar
Levy, Y. & Lockwood, F. C. 1981 Velocity measurements in a particle-laden turbulence free jet. Combust. Flame 40, 333339.Google Scholar
Li, A. & Ahmadi, G. 1992 Computer simulation of deposition of aerosols in a turbulent channel flow with rough wall. Aerosol Sci. Technol. 16, 209.Google Scholar
Li, Y., McLaughlin, J. B., Kontomaris, K. & Portela, L. 2001 Numerical simulation of particle-laden turbulent channel flow. Phys. Fluids. 13 (10), 29572967.Google Scholar
Marchioli, C. & Soldati, A. 2002 Mechanisms for particle transfer and segregation in a turbulent boundary layer. J. Fluid Mech. 468, 283315.CrossRefGoogle Scholar
McLaughlin, J. B. 1989 Aerosol particle deposition in numerically simulated turbulent channel flow. Phys. Fluids A 1, 1211.Google Scholar
McLaughlin, J. B. 1994 Numerical computation of particle–turbulence interaction. Intl J. Multiphase Flow 20 (Suppl.), 211232.CrossRefGoogle Scholar
Narayanan, C., Lakehal, D., Botto, L. & Soldati, A. 2003 Mechanisms of particle deposition in a fully developed turbulent open channel flow. Phys. Fluids 15 (3), 763775.CrossRefGoogle Scholar
Nasr, H. & Ahmadi, G. 2007 The effect of two-way coupling and inter-particle collisions on turbulence modulation in a vertical channel flow. Intl J. Heat Fluid Flow 28 (6), 15071517.CrossRefGoogle Scholar
Ounis, H., Ahmadi, G. & McLaughlin, J. B. 1991 Dispersion and deposition of Brownian particles from point sources in a simulated turbulent channel flow. J. Colloid Interface Sci. 147, 233.Google Scholar
Ounis, H., Ahmadi, G. & McLaughlin, J. B. 1993 Brownian particle deposition a directly simulated turbulent channel flow. Phys. Fluids A 5, 1427.Google Scholar
Papavergos, P. G. & Hedley, A. B. 1984 Particle deposition behaviour from turbulent flows. Chem. Engng Res. Des. 62, 275295.Google Scholar
Portela, L. M. & Oliemans, R. V. A. 2003 Eulerian–Lagrangian DNS/LES of particle–turbulence interactions in wall-bounded flows. Intl J. Numer. Meth. Fluids 43, 10451065.Google Scholar
Rashidi, M., Hetsroni, G. & Banerjee, S. 1990 Particle–turbulence interaction in a boundary layer. Intl J. Multiphase Flow 16, 935949.Google Scholar
Reeks, M. W. 1983 The transport of discrete particles in inhomogeneous turbulence. J. Aerosol Sci. 14, 729739.Google Scholar
Squires, K. D. & Eaton, J. K. 1990 Particle response and turbulence modification in isotropic turbulence. Phys. Fluids A 2, 11911203.Google Scholar
Squires, K. D. & Eaton, J. K. 1991 a Measurements of particle dispersion obtained from direct numerical simulations of isotropic turbulence. J. Fluid Mech. 226, 135.CrossRefGoogle Scholar
Squires, K. D. & Eaton, J. K. 1991 b Preferential concentration of particles by turbulence. Phys. Fluids A 3, 11691178.CrossRefGoogle Scholar
Sundaram, S. & Collins, L. R. 1997 Collision statistics in an isotropic particle-laden turbulent suspension. Part 1. Direct numerical simulations. J. Fluid Mech. 335, 75109.CrossRefGoogle Scholar
Tsuji, Y. & Morikawa, Y. 1982 LDV measurements of an air–solid two-phase flow in a horizontal pipe. J. Fluid Mech. 226, 385409.Google Scholar
Tsuji, Y., Morikawa, Y. & Shiomi, H. 1984 LDV measurements of an air–solid two-phase flow in a vertical pipe. J. Fluid Mech. 139, 417434.Google Scholar
Vreman, A. W. 2007 Turbulence characteristics of particle-laden pipe flow. J. Fluid Mech. 584, 235279.Google Scholar
Wang, L. P. & Stock, D. E. 1993 Dispersion of heavy particles by turbulent motion. J. Atmos. Sci. 50, 18971913.Google Scholar
Wang, Q. & Squires, K. D. 1996 Large eddy simulation of particle-laden turbulent channel flow. Phys. Fluids 8 (5), 12071223.CrossRefGoogle Scholar
Wood, N. B. 1981 A simple method for calculation of turbulent deposition to smooth and rough surfaces. J. Aerosol Sci. 12, 275.Google Scholar
Yamamoto, Y., Potthoff, M., Tanaka, T., Kajishima, T. & Tsuji, Y. 2001 Large eddy simulation of turbulent gas–solid flow in a vertical channel: effect of considering inter-particle collisions. J. Fluid Mech. 442, 303334.Google Scholar
Yarin, L. P. & Hetsroni, G. 1994 Turbulence intensity in dilute two-phase flow. 3. The particles–turbulence interaction in dilute two-phase flow. Intl J. Multiphase Flow 20, 2744.Google Scholar
Young, J. & Leeming, A. 1997 A theory of particle deposition in turbulent pipe flow. J. Fluid Mech. 340, 129159.Google Scholar
Zhang, H. & Ahmadi, G. 2000 Aerosol particle transport and deposition in vertical and horizontal turbulent duct flows. J. Fluid Mech. 406, 5580.Google Scholar