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A Modeling Study on Particle Dispersion in Wall-Bounded Turbulent Flows

Published online by Cambridge University Press:  03 June 2015

Jian-Hung Lin*
Affiliation:
Department of Aeronautics and Astronautics, National Cheng Kung University, No. 1, University Rd, Tainan 701, Taiwan
Keh-Chin Chang*
Affiliation:
Department of Aeronautics and Astronautics, National Cheng Kung University, No. 1, University Rd, Tainan 701, Taiwan
*
*Corresponding author. Email: kcchang@mail.ncku.edu.tw
*Corresponding author. Email: kcchang@mail.ncku.edu.tw
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Abstract

Three physical mechanisms which may affect dispersion of particle’s motion in wall-bounded turbulent flows, including the effects of turbulence, wall roughness in particle-wall collisions, and inter-particle collisions, are numerically investigated in this study. Parametric studies with different wall roughness extents and with different mass loading ratios of particles are performed in fully developed channel flows with the Eulerian-Lagrangian approach. A low-Reynolds-number k ε turbulence model is applied for the solution of the carrier-flow field, while the deterministic Lagrangian method together with binary-collision hard-sphere model is applied for the solution of particle motion. It is shown that the mechanism of inter-particle collisions should be taken into account in the modeling except for the flows laden with sufficiently low mass loading ratios of particles. Influences of wall roughness on particle dispersion due to particle-wall collisions are found to be considerable in the bounded particle–laden flow. Since the investigated particles are associated with large Stokes numbers, i.e., larger than O (1), in the test problem, the effects of turbulence on particle dispersion are much less considerable, as expected, in comparison with another two physical mechanisms investigated in the study.

Type
Research Article
Copyright
Copyright © Global-Science Press 2014

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References

[1]Sommerfeld, M., Analysis of collision effects for turbulent gas-particle flow in a horizontal channel: part I: particles transport, Int. J. Multiphase Flow, 29 (2003), pp. 675699.Google Scholar
[2]Benson, M. J. and Eaton, J. K., The effects of wall roughness on the particle velocity field in fully-developed channel flow, Report No. TSD-150, Department of Mechanical Engineering, Stanford University, California, 2003.Google Scholar
[3]Kussin, J. and Sommerfeld, M., Experimental studies on particle behaviour and turbulence modification in horizontal channel flow with different wall roughness, Exp. Fluids, 33 (2002), pp. 143159.Google Scholar
[4]Sommerfeld, M. and Kussin, J., Wall roughness effects on pneumatic conveying of spherical particles in a narrow horizontal channel, Powder Tech., 142 (2004), pp. 180192.Google Scholar
[5]Abe, K., Kondoh, T. and Nagano, Y, Anew turbulence model for predicting fluid flow and heat transfer in separating and reattaching flow I. flow field calculations, Int. J.Heat Mass Transfer, 37 (1994), pp. 139151.Google Scholar
[6]Crown, C. T., Troutt, T. R. and Chung, J. N., Numerical models for two-phase turbulent flows, Ann. Rev. Fluid Mech, 28 (1996), pp. 1143.Google Scholar
[7]Kulick, J. D., Fessler, J. R., and Eaton, J. K., Particle response and turbulence modification in fully developed channel flow, J. Fluid Mech., 277 (1994), pp. 109134.Google Scholar
[8]Crowe, C. T., Sharma, M. P. and Stock, D. E., The particle-source-in-cell (PSI-cell) model for gas-dropletflows, Trans. ASME. J. Fluid Eng., 99 (1997), pp. 325332.Google Scholar
[9]Lightstone, M. F. and Hodgson, S. M., Turbulence modulation in gas-particleflows: comparison of selected models, Can. J. Chem. Eng., 82 (2004), pp. 209219.CrossRefGoogle Scholar
[10]Schiller, P. R. and Naumann, A., Uber die grundlegenden berechnungen bei der schwekraftaubereitung, Zeitschrift des Vereins Deutscher Ingenieure, 77 (1933), pp. 318320.Google Scholar
[11]Mei, R., An approximate expression for the shear lift force on a spherical particle at finite Reynolds number, Int. J. Multiphase Flow, 18 (1992), pp. 145147.CrossRefGoogle Scholar
[12]Oesterle, B. and Bui Dinh, T., Experiments on the lift of a spinning sphere in a range of intermediate Reynolds numbers, Exp. Fluids, 25 (1998), pp. 1622.Google Scholar
[13]Dennis, S. C. R., Singh, S. N. and Ingham, D. B., The steady flow due to a rotating sphere at low and moderate Reynolds numbers, J. Fluid Mech., 101 (1980), pp. 257279.CrossRefGoogle Scholar
[14]Takagi, H., Viscous flow induced by slow rotation of a sphere, J. Phys. Soc. Japan, 42 (1977), pp. 319325.Google Scholar
[15]Pan, Y., Tanaka, T. and Tsuji, Y., Turbulence modulation by dispersed solid particles in rotating channel flows, Int. J. Multiphase Flow, 28 (2002), pp. 527552.Google Scholar
[16]Bird, G. A., Molecular Gas Dynamic, Clarendon Press, Oxford, 1976.Google Scholar
[17]Tanaka, T. and Tsuji, M., Numerical simulation of gas-solid two-phase flow in a vertical pipe: on the effect of inter-particle collision, in Gas-Solid Flow (FED, Vol. 121, ASME, 1991), pp. 123128.Google Scholar
[18]Sommerfeld, M., Modelling of particle-wall collisions in confined gas-particle flows, Int. J. Multiphase Flow, 18 (1992), pp. 905926.Google Scholar
[19]Sommerfeld, M. and Huber, N., Experimental analysis and modelling of particle-wall collision-s, Int. J. Multiphase Flow, 25 (1999), pp. 14571489.Google Scholar
[20]Pasquill, F. and Smith, F. B., Atmospheric Diffusion 3rd ed., Wiley, New York, 1983.Google Scholar
[21]Du, S., Sawford, B. L., Wilson, J. D. and Wilson, D. J., Estimation of the Kolmogorov constant (C0) for the Lagrangian structure function, using a second-order Lagrangian model of grid turbulence, Phys. Fluids, 7 (1995), pp. 30833090.CrossRefGoogle Scholar
[22]Sawford, B. L., Reynolds number effects in Lagrangian stochastic models of turbulent dispersion, Phys. Fluids A, 3 (1991), pp. 15771586.CrossRefGoogle Scholar
[23]Mito, Y. and Hanratty, T. J., Use of a modified Langevin equation to describe turbulent dispersion of fluid particles in a channel flow, Flow Turb. Combustion, 68 (2002), pp. 126.Google Scholar
[24] ANSYS FLUENT V13.0, ANSYS Inc 2012, .Google Scholar
[25]Hayase, T., Humphrey, J. A. C. and Grief, R., A consistently formulated QUICK scheme for fast and stable convergence using finite-volume iterative calculation procedures, J. Comput. Phys., 98 (1992), pp. 108118.Google Scholar
[26]Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Hemisphere, New York, 1980.Google Scholar