A macroscopic turbulence model for flow in porous media suited for channel, pipe and rod bundle flows

International Journal of Heat and Mass Transfer

Volumn 49, Issue 15-16, 2006, Pages 2739-2750

  Chandesris, M ^a   Serre, G ^a   Sagaut, P ^b  

^a CEA GRENOBLE   (France)

^b SORBONNE UNIVERSITÉ   (France)

Author keywords

Incompressible flow; Porous media; Turbulence modeling; Volume average

Indexed keywords

CHANNEL FLOW; COMPUTER SIMULATION; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; MORPHOLOGY; NUCLEAR REACTORS; PIPE FLOW; POROUS MATERIALS; TURBULENCE;

MACROSCOPIC TWO-EQUATION TURBULENCE MODEL; ROD BUNDLE; TURBULENCE MODELING; VOLUME-AVERAGE;

TURBULENT FLOW;

CHANNEL FLOW; COMPUTER SIMULATION; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; MORPHOLOGY; NUCLEAR REACTORS; PIPE FLOW; POROUS MATERIALS; TURBULENCE; TURBULENT FLOW;

EID: 33646736975     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2005.12.013     Document Type: Article

References (35)

1. Alvarez G., Bournet P.E., and Flick D. Two dimensional simulation of turbulent flow and transfer through stacked spheres. Int. J. Heat Mass Transfer 46 (2003) 2459-2469
2. Antohe B.V., and Lage J.L. A general two-equation macroscopic turbulence model for incompressible flow in porous media. Int. J. Heat Mass Transfer 40 (1997) 3013-3024
3. Bear J. Dynamics of Fluids in Porous Media (1972), American Elsevier, New York
4. Calvin C., Cueto O., and Emonot P. An object-oriented approach to the design of fluid mechanics software. Math. Modell. Numer. Anal. 36 5 (2002) 907-921
5. Y.S. Chen, S.W. Kim, Computation of turbulent flows using an extended k-ε{lunate} turbulence closure model, NASA CR-179204, 1987.
6. Chung K., Lee K.-S., and Kim W.-S. Modified macroscopic turbulence modeling for the tube with channel geometry in porous media. Numer. Heat Transfer, Part A 43 (2003) 659-668
7. G. Comte-Bellot, Ecoulement turbulent entre deux parois parallèles, Publications Scientifiques et Techniques du Ministère de l'Air no. 419, 1965.
8. Darcy H.P.G. Les fontaines publiques de la ville de Dijon (1856), Victor Dalmont, Paris
9. Dean R.B. Reynolds number dependence of skin friction and other bulk flow variables in two-dimensional rectangular duct flow. J. Fluids Eng. 100 (1978) 215-223
10. Eggels J.G.M., Unger F., Weiss M.H., Westerweel J., Adrian R.J., Friedrich R., and Nieuwstadt F.T.M. Fully developed turbulent pipe flow: a comparison between direct numerical simulation and experiment. J. Fluids Mech. 268 (1994) 175-209
11. P. Emonot, Méthodes de Volumes Elements Finis: Application aux équations de Navier-Stokes et résultats de convergence, Ph.D. thesis, Université Claude Bernard-Lyon I, 1992.
12. F. Falk, A. Memponteil, Détermination d'un champ de vitesses 3D en géométrie complexe par vélocimétrie laser 2d, in: 6ème Congrès francophone de Vélocimétrie laser, Saint Louis, France, 22-25 September 1998.
13. Getachew D., Minkowycz W.J., and Lage J.L. A modified form of the k-ε{lunate} model for turbulent flows of an incompressible fluid in porous media. Int. J. Heat Mass Transfer 43 (2000) 2909-2915
14. B. Guo, A. Yu, B. Wright, P. Zulli, Comparison of several turbulence models applied to the simulation of gas flow in a packed bed, in: Third Int. Conf. on CFD in the Minerals and Process Industries, CSIRO, Melbourne, Australia, 2003, pp. 509-514.
15. C.V. Hirt, B.D. Nichols, N.C. Romero, Sola-a numerical solution algorithm for transient flow, Los Alamos National Laboratory, Report LA-5852, 1975.
16. I.E. Idel'cik, Memento des pertes de charge, Direction des etudes et recherches d'EDF, 1969.
17. Kakac S., Shah R.K., and Aung W. Handbook of Single-Phase Convective Heat Transfer (1987), John Wiley & Sons, New York
18. Kuwahara F., Kameyama Y., Yamashita S., and Nakayama A. Numerical modeling of turbulent flow in porous media using a spatially periodic array. J. Porous Media 1 1 (1998) 47-55
19. Kuwahara F., Nakayama A., and Koyama H. A numerical study of thermal dispersion in porous media. J. Heat Transfer 118 (1996) 756-761
20. Kuwahara F., Shirota M., and Nakayama A. A numerical study of interfacial convective heat transfer coefficient in two-energy equation model for convection in porous media. Int. J. Heat Mass Transfer 44 (2001) 1153-1159
21. J.L. Lage, The fundamental theory of flow through permeable porous media from Darcy to turbulence, in: D.B. Ingham, I. Pop (Eds.), Transport Phenomena in Porous Media, 1998.
22. Launder B.E., and Spalding D.B. Mathematical Models of Turbulence (1972), Academic Press, London
23. Mazuoka T., and Takatsu Y. Turbulence model for flow trough porous media. Int. J. Heat Mass Transfer 39 (1996) 2803-2809
24. τ = 590. Phys. Fluids 4 11 (1999) 943-945
25. Nakayama A., and Kuwahara F. A macroscopic turbulence model for flow in a porous medium. J. Fluids Eng. 121 (1999) 427-433
26. Nakayama A., Kuwahara F., and Hayashi T. Numerical modelling for the three-dimensional heat and fluid flow through a bank of cylinders in yaw. J. Fluid Mech. 498 (2004) 139-159
27. Pedras M.H.J., and de Lemos M.J.S. On the definition of turbulent kinetic energy for flow in porous media. Int. Commun. Heat Mass Transfer 27 2 (2000) 211-220
28. Pedras M.H.J., and de Lemos M.J.S. Macroscopic turbulence modeling for incompressible flow through undeformable porous media. Int. J. Heat Mass Transfer 44 (2001) 1081-1093
29. Pedras M.H.J., and de Lemos M.J.S. On the mathematical description and simulation of turbulent flow in a porous medium formed by an array of elliptic rods. J. Fluids Eng. 123 (2001) 941-947
30. Pedras M.H.J., and de Lemos M.J.S. Simulation of turbulent flow in porous media using a spatially periodic array and a low Reynolds two-equation closure. Numer. Heat Transfer, Part A 39 (2001) 35-59
31. Perry A.E., Henbest S.M., and Chong M.S. A theoretical and experimental study of wall turbulence. J. Fluid Mech. 165 (1986) 163-199
32. Slattery J.C. Momentum, Energy and Mass Transfer in Continua (1972), McGraw-Hill, New York
33. Vafai K., and Tien C.L. Boundary and inertia effects on flow and heat transfer in porous media. Int. J. Heat Mass Transfer 24 (1981) 195-203
34. Whitaker S. Advances in theory of fluid motion in porous media. Ind. Eng. Chem. 61 (1969) 14-28
35. Whitaker S. Flow in porous media I: A theoretical derivation of Darcy's law. Transp. Porous Media 1 (1986) 3-25