Computation of turbulent free convection in left and right tilted porous enclosures using a macroscopic k-ε model

International Journal of Heat and Mass Transfer

Volumn 51, Issue 21-22, 2008, Pages 5279-5287

  Braga, Edimilson J ^a   de Lemos, Marcelo J S ^a  

^a INSTITUTO TECNOLÓGICO DE AERONÁUTICA   (Brazil)

Author keywords

Heat transfer; Natural convection; Porous media

Indexed keywords

COMPUTER NETWORKS; NUMERICAL ANALYSIS; POROUS MATERIALS; TURBULENCE;

HEAT TRANSFER; NATURAL CONVECTION; POROUS ENCLOSURES; POROUS MEDIA; TURBULENT NATURAL CONVECTION;

FINITE VOLUME METHOD;

EID: 51349084999     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2008.03.016     Document Type: Article

References (42)

1. Nield D.A., and Bejan A. Convection in Porous Media (1992), Springer, New York
2. Ingham D.B., and Pop I. Transport Phenomena in Porous Media (1998), Elsevier, Amsterdam
3. Walker K.L., and Homsy G.M. Convection in porous cavity. J. Fluid Mech. 87 (1978) 449-474
4. Bejan A. On the boundary layer regime in a vertical enclosure filled with a porous medium. Lett. Heat Mass transfer 6 (1979) 93-102
5. Prasad V., and Kulacki F.A. Convective heat transfer in a rectangular porous cavity-effect of aspect ratio on flow structure and heat transfer. J. Heat Transfer 106 (1984) 158-165
6. Beckermann C., Viskanta R., and Ramadhyani S. A numerical study of non-Darcian natural convection in a vertical enclosure filled with a porous medium. Numer. Heat Transfer 10 (1986) 557-570
7. R.J. Gross, M.R. Bear, C.E. Hickox, The Application of flux-corrected transport (FCT) to high rayleigh number natural convection in a porous medium, in: Proceedings of the 8th International Heat Transfer Conference, CA, 1986.
8. Manole D.M., and Lage J.L. Numerical benchmark results for natural convection in a porous medium cavity, HTD. Heat Mass Transfer Porous Media, ASME Conference 216 (1992) 55-60
9. Moya S.L., Ramos E., and Sen M. Numerical study of natural convection in a tilted rectangular porous material. Int. J. Heat Mass Transfer 30 (1987) 741-756
10. Baytas A.C., and Pop I. Free convection in oblique enclosures filled with a porous medium. Int. J. Heat Mass Transfer 42 (1999) 1047-1057
11. Hsu C.T., and Cheng P. Thermal dispersion in a porous medium. Int. J. Heat Mass Transfer 33 (1990) 1587-1597
12. Bear J. Dynamics of Fluids in Porous Media (1972), American Elsevier Publ. Co., New York
13. Whitaker S. Equations of motion in porous media. Chem. Eng. Sci. 21 (1966) 291-300
14. Whitaker S. Diffusion and dispersion in porous media. J. Amer. Inst. Chem. Eng. 13 3 (1967) 420-427
15. Masuoka T., and Takatsu Y. Turbulence model for flow through porous media. Int. J. Heat Mass Transfer 39 13 (1996) 2803-2809
16. Kuwahara F., Nakayama A., and Koyama H. A numerical study of thermal dispersion in porous media. J. Heat Transfer 118 (1996) 756-761
17. Kuwahara F., and Nakayama A. Numerical modeling of non-Darcy convective flow in a porous medium. Heat Transfer 1998. Proceedings of the 11th International Heat Transfer Conference vol. 4 (1998), Taylor & Francis, Kyongyu, Korea, Washington, DC
18. Nakayama A., and Kuwahara F. A macroscopic turbulence model for flow in a porous medium. J. Fluids Eng. 121 (1999) 427-433
19. Lee K., and Howell J.R. Forced convective and radiative transfer within a highly porous layer exposed to a turbulent external flow field. Proceedings of the 1987 ASME-JSME Thermal Engineering Joint Conference vol. 2 (1987), ASME, Honolulu, Hawaii, New York, NY
20. 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 13 (1997) 3013-3024
21. Getachewa D., Minkowycz W.J., and Lage J.L. A modified form of the k-ε model for turbulent flow of a incompressible fluid in porous media. Int. J. Heat Mass Transfer 43 (2000) 2909-2915
22. 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
23. 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 6 (2001) 1081-1093
24. 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-re two-equation closure. Numer. Heat Transfer A - Appl. 39 1 (2001) 35-59
25. 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 4 (2001) 941-947
26. Rocamora Jr. F.D., and de Lemos M.J.S. Analysis of convective heat transfer of turbulent flow in saturated porous media. Int. Commun. Heat Mass Transfer 27 6 (2000) 825-834
27. M.J.S. de Lemos, F.D. Rocamora, Turbulent transport modeling for heated flow in rigid porous media, in: Proceedings of the Twelfth International Heat Transfer Conference, 2002, pp. 791-795.
28. Silva R.A., and de Lemos M.J.S. Numerical analysis of the shear stress jump for turbulent flow between in to flat plates. Int. J. Heat Mass Transfer, USA 46 26 (2003) 5113-5121
29. Silva R.A., and de Lemos M.J.S. Numerical analysis of the stress jump interface condition for laminar flow over a porous layer. Numer. Heat Transfer A - Appl., USA 43 6 (2003) 603-617
30. de Lemos M.J.S., and Pedras M.H.J. Recent mathematical models for turbulent flow for saturated rigid porous media. J. Fluids Eng. 123 4 (2001) 935-940
31. de Lemos M.J.S., and Braga E.J. Modeling of turbulent natural convection in saturated rigid porous media. Int. Commun. Heat Mass Transfer 30 5 (2003) 615-624
32. Braga E.J., and de Lemos M.J.S. Turbulent natural convection in a porous square cavity computed with a macroscopic k-ε model. Int. J. Heat Mass Transfer 47 26 (2004) 5639-5650
33. Braga E.J., and de Lemos M.J.S. Heat transfer in enclosures having a fixed amount of solid material simulated with heterogeneous and homogeneous models. Int. J. Heat Mass Transfer 48 23-24 (2005) 4748-4765
34. Braga E.J., and de Lemos M.J.S. Simulation of turbulent natural convection in a porous cylindrical annulus using a macroscopic two-equation model. Int. J. Heat Mass Transfer 49 23-24 (2006) 4340-4351
35. de Lemos M.J.S., and Mesquita M.S. Turbulent mass transport in saturated rigid porous media. Int. Commun. Heat Mass Transfer 30 1 (2003) 105-113
36. Saito M.B., and de Lemos M.J.S. Interfacial heat transfer coefficient for non-equilibrium convective transport in porous media. Int. Commun. Heat Mass Transfer 32 5 (2005) 667-677
37. Saito M.B., and de Lemos M.J.S. A correlation for interfacial heat transfer coefficient for turbulent flow over an array of square rods. J. Heat Transfer 128 (2006) 444-452
38. de Lemos M.J.S., and Tofaneli L.A. Modeling of double-diffusive turbulent natural convection in porous media. Int. J. Heat Mass Transfer 47 19-20 (2004) 4221-4231
39. Launder B.E., and Spalding D.B. The numerical computation of turbulent flows. Comput. Methods Appl. Mech. Eng. 3 (1974) 269-289
40. Patankar S.V., and Spalding D.B. A calculation procedure for heat, mass and momentum transfer in three dimensional parabolic flows. Int. J. Heat Mass Transfer 15 (1972) 1787
41. Stone H.L. Iterative solution of implicit approximations of multi-dimensional partial differential equations. SIAM J. Numer. Anal. 5 (1968) 530-558
42. Jones W.P., and Launder B.E. The prediction of laminarization with a two-equation model of turbulence. Int. J. Heat Mass Transfer 15 (1972) 301-314