Hostname: page-component-7479d7b7d-qs9v7 Total loading time: 0 Render date: 2024-07-11T01:42:18.543Z Has data issue: false hasContentIssue false
  • English
  • Français

Particle Dispersion Simulation in Turbulent Flow Due to Particle-Particle and Particle-Wall Collisions

Published online by Cambridge University Press:  19 August 2015

J.-H. Lin  and
K.-C. Chang
J.-H. Lin
Affiliation:
Department of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan
K.-C. Chang*
Affiliation:
Department of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan
*
* Corresponding author (kcchang@mail.ncku.edu.tw)
Get access

Abstract

Simulation of the 3-D, fully developed turbulent channel flows laden with various mass loading ratios of particles is made using an Eulerian-Lagrangian approach in which the carrier-fluid flow field is solved with a low-Reynolds-number k-ε turbulence model while the deterministic Lagrangian method together with binary-collision hard-sphere model is applied for the solution of particle motion. Effects of inter-particle collisions and particle-wall collisions under different extents of wall roughness on particle dispersion are addressed in the study. A cost-effective searching algorithm of collision pair among particles is developed. It is found that the effects of inter-particle collisions on particle dispersion cannot be negligible when the ratio of the mean free time of particle to the mean particle relaxation time of particle is less or equal to O(10). In addition, the wall roughness extent plays an important role in the simulation of particle-wall collisions particularly for cases with small mass loading ratios.

Keywords

Particle-laden flowParticle-particle collisionsParticle-wall collisionsChannel flow
Type
Research Article
Information
Journal of Mechanics , Volume 32 , Issue 2 , April 2016 , pp. 237 - 244
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2016 

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

1.Lin, J. H.and Chang, K. C., “A Modeling Study on Particle Dispersion in Wall–Bounded Turbulent Flow,” The Advances in Applied Mathematics and Mechanics, 6, pp. 764–782 (2014).Google Scholar
2.Abe, K., Kondoh, T. and Nagano, Y., “A New Turbulence Model for Predicting Fluid Flow and Heat,” International Journal of Heat and Mass Transfer, 37, pp. 139–151 (1994).Google Scholar
3.Crown, C. T., Troutt, T. R. and Chung, J. N., “Numerical Models for Two-Phase Turbulent Flows,” The Annual Review of Fluid Mechanic, 28, pp. 11–43 (1996)Google Scholar
4.Crown, C. T., Sharma, M. P. and Stock, D. E., “The Particle-Source-In-Cell (PSI–Cell) Model for Gas-Droplet Flows,” Journal of Fluids Engineering, 99, pp. 325–332 (1997).Google Scholar
5.Lightstone, M. F. and Hodgson, S. M., “Turbulence Modulation in Gas-Particle Flows: Comparison of Selected Models,” Canadian Journal of Chemical Engineering, 82, pp. 209–219 (2004).Google Scholar
6.Mito, Y. and Hanratty, T. J., “Use of a Modified Langevin Equation to Describe Turbulent Dispersion of Fluid Particles in a Channel Flow,” Flow, Turbulence and Combustion, 68, pp. 1–26 (2002).CrossRefGoogle Scholar
7.Du, S., Sawford, B. L. and Wilson, J. D., “Estimation of the Kolmogorov Constant (C0) for the La-grangian Structure Function, Using a Second-Order Lagrangian Model of Grid Turbulence,” Physics of Fluids, 7, pp. 3083–3090 (1995).Google Scholar
8.Crowe, C., Sommerfeld, M. and Tsuji, Y., Multiphase Flow with Droplets and Particles, CRC Press, Boca Raton (1998).Google Scholar
9.Tanaka, T. and Tsuji, M., “Numerical Simulation of Gas-Solid Two-Phase Flow in a Vertical Pipe: On the Effect of Inter-Particle Collision,” ASME/FED Gas-Solid Flows, 121, pp. 123–128 (1991).Google Scholar
10.Sommerfeld, M., “Modelling of Particle-Wall Collisions in Confined Gas-Particle Flows,” International Journal of Multiphase Flow, 18, pp. 905–926 (1992).Google Scholar
11.Sommerfeld, M. and Huber, N., “Experimental Analysis and Modelling of Particle-Wall Collisions,” International Journal of Multiphase Flow, 25, pp. 1457–1489 (1999).Google Scholar
12.Kulick, J. D., Fessler, J. R. and Eaton, J. K., “Particle Response and Turbulence Modification in Fully Developed Channel Flow,” Journal of Fluid Mechanics, 277, pp. 109–134 (1994).CrossRefGoogle Scholar
13.Eaton, J. K., “Two-Way Coupled Turbulence Simulations of Gas-Particle Flows Using Point-Particle Tracking,” International Journal of Multiphase Flow, 35, pp. 792–800 (2009).CrossRefGoogle Scholar
14.Yamamoto, Y., Potthoff, M., Tanaka, T., Kajishima, T. and Tsuji, Y., “Large-Eddy Simulation of Turbulent Gas-Particle Flow in a Vertical Channel: Effects of Considering Inter-Particle Collision,” Journal of Fluid Mechanics, 442, pp. 303–343 (2001).CrossRefGoogle Scholar
15.Zhao, L. H., Andersson, H. I. and Gillissen, J. J. J., “Turbulence Modulation and Drag Reduction by Spherical Particles,” Physics of Fluid, 22, pp. 081702-1–081702-4 (2010).Google Scholar