A lattice boltzmann model for convection heat transfer in porous media

Numerical Heat Transfer, Part B: Fundamentals

Volumn 47, Issue 2, 2005, Pages 157-177

  Guo, Zhaoli ^a   Zhao, T S ^a  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONTINUUM MECHANICS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; FLOW OF FLUIDS; HEAT TRANSFER; POROUS MATERIALS;

DISTRIBUTION FUNCTIONS; LATTICE BOLTZMANN MODELS (LBM); MACROSCOPIC EQUATIONS; TEMPERATURE FIELD;

HEAT CONVECTION;

EID: 13844272699     PISSN: 10407790     EISSN: None     Source Type: Journal    
DOI: 10.1080/10407790590883405     Document Type: Article

References (26)

1. D. A. Nield and A. Bejan, Convection in Porous Media, 2nd ed., Springer-Verlag, New York, 1992.
2. P. Nithiarasu, K. N. Seetharamu, and T. Sundararajan, Natural Convection Heat Transfer in a Fluid Saturated Variable Porosity Medium, Int. J. Heat Mass Transfer., vol. 40, pp. 3955-3967, 1997.
3. P. Nithiarasu and K. Ravindran, A New Semi-implicit Time Stepping Procedure for Buoyancy Driven Flow in a Fluid Saturated Porous Medium, Comput. Meth. Appl. Mech. Eng., vol. 165, pp. 147-154, 1998.
4. S. Chen and G. D. Doolen, Lattice Boltzmann Method for Fluid Flows, Annu. Rev. Fluid Mech., vol. 30, pp. 329-364, 1998.
5. H. Balasubramanian, F. Hayot, and W. F. Saam, Darcy's Law from Lattice-Gas Hydro-dynamics, Phys. Rev. A, vol. 36, pp. 2248-2253, 1987.
6. D. H. Rothman, Cellular-Automation Fluids: A Model for Flow in Porous Media, Geophysics, vol. 53, pp. 509-518, 1988.
7. S. Succi, E. Foti, and F. Higuera, Three-Dimensional Flows in Complex Geometries with the Lattice Boltzmann Method, Europhys. Lett., vol. 10, pp. 433-438, 1989.
8. O. Dardis and J. McCloskey, Lattice Boltzmann Scheme with Real Numbered Solid Density for the Simulation of Flow in Porous Media, Phys. Rev. E, vol. 57, 4834-4837, 1998.
9. M. A. A. Spaid and F. R. Phelan, Lattice Boltzmann Methods for Modeling Microscale Flow in Fibrous Porous Media, Phys. Fluids, vol. 9, pp. 2468-2474, 1997.
10. D. M. Freed, Lattice-Boltzmann Method for Macroscopic Porous Media Modeling, Int. J. Mod. Phys. C, vol. 9, pp. 1491-1503, 1998.
11. Q. Kang, D. Zhang, and S. Chen, Unified Lattice Boltzmann Method for Flow in Multiscale Porous Media, Phys. Rev. E, vol. 66, pp. 056307-1-056307-11, 2002.
12. M. Spaid and F. R. Phelan, Modeling Void Formation Dynamics in Fibrous Porous Media with the Lattice Boltzmann Method, Composites A, vol. 29, pp. 749-755, 1998.
13. N. S. Martys, Improved Approximation of the Brinkman Equation Using a Lattice Boltzmann Method, Phys. Fluids, vol. 6, pp. 1807-1810, 2001.
14. Z. Guo and T. S. Zhao, Lattice Boltzmann Model for Incompressible Flows through Porous Media, Phys. Rev. E, vol. 66, pp. 036304-1-036304-9, 2002.
15. K. Vafai and C. L. Tien, Boundary and Inertia Effects on Flow and Heat Transfer in Porous Media, Int. J. Heat Mass Transfer, vol. 24, pp. 195-203, 1981.
16. S. Ergun, Fluid Flow through Packed Column, Chem. Eng. Prog., vol. 48, pp. 89-94, 1952.
17. K. Vafai, Convective Flow and Heat Transfer in Variable-Porosity Media, J. Fluid. Mech., vol. 147, pp. 233-259, 1984.
18. F. J. Alexander, S. Chen, and J. D. Sterling, Lattice Boltzmann Thermohydrodynamics, Phys. Rev. E, vol. 47, pp. R2249-R2252, 1993.
19. Y. Qian, Simulating Thermohydrodynamics with Lattice BGK Models, J. Sci. Comput., vol. 8, pp. 231-242, 1993.
20. A. Bartoloni, C. Battista, S. Cabasino, P. S. Paolucci, J. Pech, R. Sarno, G. M. Todesco, M. Torelli, W. Tross, P. Vincini, R. Benzi, N. Cabibbo, F. Massaioli, and R. Tripiccione LBE Simulations of Rayleigh-Bénard Convection on the APE 100 Parallel Processor, Int. J. Mod. Phys. C, vol. 4, pp. 993-1006, 1993.
21. X. Shan, Simulation of Rayleigh-Bénard Convection Using a Lattice-Boltzmann Method, Phys. Rev. E, vol. 55, 2780-2788, 1997.
22. Z. Guo, B. Shi, and C. Zheng, A Coupled Lattice BGK Model for the Boussinesq Equations, Int. J. Numer. Meth. Fluids, vol. 39, pp. 325-342, 2002.
23. X. Y. He, S. Y. Chen, and G. Doolen, A Novel Thermal Model for the Lattice Boltzmann Method in Incompressible Limit, J. Comput. Phys., vol. 146, pp. 282-300, 1998.
24. Z. Guo, C. Zheng, and B. Shi, An Extrapolation Method for Boundary Conditions in Lattice Boltzmann Method, Phys. Fluids, vol. 14, pp. 2007-2010, 2002.
25. P. Lallemand and L.-S. Luo, Theory of Lattice Boltzmann Method: Acoustic and Thermal Properties in Two and Three Dimensions, Phys. Rev. E, vol. 68, pp. 036706-1-036706-25, 2003.
26. C. Beckermann, R. Viskanta, and S. Ramadhyani, Natural Convection in Vertical Enclosures Containing Simultaneously Fluid and Porous Layers, J. Fluid Mech., vol. 186, pp. 257-284, 1988.