Non-darcian effects on double-diffusive convection within a porous medium

Numerical Heat Transfer; Part A: Applications

Volumn 31, Issue 8, 1997, Pages 837-852

  Karimi Fard, Mohammad ^a   Charrier Mojtabi, M C ^a   Vafai, K ^b  

^a IMFT   (France)

^b Ohio State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BUOYANCY; COMPOSITION EFFECTS; FINITE VOLUME METHOD; MASS TRANSFER; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; POROUS MATERIALS; THERMAL EFFECTS;

BRINKMAN'S EXTENSION; DARCY FLOW; DOUBLE DIFFUSIVE CONVECTION; FORCHHEIMER'S EXTENSION; LEWIS NUMBER;

NATURAL CONVECTION;

EID: 0031169681     PISSN: 10407782     EISSN: 15210634     Source Type: Journal    
DOI: 10.1080/10407789708914067     Document Type: Article

References (25)

1. V. Prasad and A. Tun tomo, Inertia Effects on Natural Convection in a Vertical Porous Cavity, Numer. Heat Transfer, voi 11, pp. 295-320, 1987.
2. J. L. Lage, Effect of the Convective Inertia Term on Bénard Convection in a Porous Medium, Numer. Heat Transfer, voi. 22, pp. 469-485, 1992.
3. B. K. C. Chan, C. M. Ivey, and J. M. Barry, Natural Convection in Enclosed Porous Media with Rectangular Boundaries, ASME J. Heat Transfer, vol. 2, pp. 21-27, 1970.
4. T. W. Tong and E. Subramanian, A Boundary-Layer Analysis for Natural Convection in Vertical Porous Enclosures—Use of the Brinkman-Extended Darcy Model, Int. J. Heat Mass Transfer, vol. 28, pp. 563-571, 1985.
5. A. K. Sen, Natural Convection in a Shallow Porous Cavity—The Brinkman Model, Int. J. Heat Mass Transfer, vol. 30, no. 5, pp. 855-868, 1987.
6. G. Lauriat and V. Prasad, Natural Convection in a Vertical Porous Cavity: A Numerical Study for Brinkman-Extended Darcy Formulation, ASME J. Heat Transfer, vol. 109, pp. 681-696, 1987.
7. P. Vasseur, C. H. Wang, and M. Sen, The Brinkman Model for Natural Convection in a Shallow Porous Cavity with Uniform Heat Flux, Numer: Heat Transfer, vol. 15, pp. 221-242, 1989.
8. K. Vafai and C. L. Tien, Boundary and Inertia Effects on Flow and Heat Transfer in Porous Media, Int. 7. Heat Mass Transfer, vol. 24, pp. 195-203, 1981.
9. J. Ettefagh, K. Vafai, and S. J. Kim, Non-Darcian Effects in Open-Ended Cavities Filled with a Porous Medium, ASME J. Heat Transfer, vol. 113, pp. 747-756, 1991.
10. O. V. Trevisan and A. Bejan, Mass and Heat Transfer by Natural Convection in a Vertical Slot Filled with Porous Medium, Int. J. Heat Mass Transfer, vol. 29, no. 3, pp. 403-415, 1986.
11. F. Alavyoon, On Natural Convection in Vertical Porous Enclosures due to Prescribed Fluxes of Heat and Mass at the Vertical Boundaries, Int. J. Heat Mass Transfer, vol. 36, pp. 2479-2498, 1993.
12. F. Alavyoon, Y. Masuda, and S. Kimura, On Natural Convection in Vertical Porous Enclosures due to Opposing Fluxes of Heat and Mass Prescribed at the Vertical Walls, Int. J. Heat Mass Transfer, vol. 37, pp. 195-206, 1994.
13. M. Mamou, P. Vasseur, and E. Bilgen, Multiple Solutions for Double-Diffusive Convection in a Vertical Porous Enclosure, Int. J. Heat Mass Transfer, vol. 38, pp. 1787-1798, 1995.
14. M. Mamou, P. Vasseur, E. Bilgen, and D. Gobin, Double-Diffusive Convection in an Inclined Slot Filled with Porous Medium, Eur. J. Mech. B Fluids, vol. 14, no. 5, pp. 629-652, 1995.
15. M. Mamou, P. Vasseur, E. Bilgen, and D. Gobin, Double-Diffusive Convection in a Shallow Porous Layer, Proc. 10th Int. Heat Transfer Conf, Brighton, UK, vol. 5, pp. 339-344, 1994.
16. D. A. Nield, Onset of Thermohaline Convection in a Porous Medium, Water Resour. Res., vol. 4, pp. 553-560, 1968.
17. O. V. Trevisan and A. Bejan, Mass and Heat Transfer by High Rayleigh Number Convection in a Porous Medium Heated from Below, Int. J. Heat Mass Transfer, vol. 30, pp. 2341-2356, 1987.
18. F. Chen and C. F. Chen, Double-Diffusive Fingering Convection in a Porous Medium, Int. J. Heat Mass Transfer, vol. 36, pp. 793-807, 1993.
19. O. V. Trevisan and A. Bejan, Natural Convection with Combined Heat and Mass Transfer Buoyancy Effects in a Porous Medium, Int. J. Heat Mass Transfer, vol. 28, pp. 1597-1611, 1985.
20. B. Goyeau, J.-P. Songbe, and D. Gobin, Numerical Study of Double-Diffusive Natural Convection in Porous Cavity Using the Darcy-Brinkman Formulation, Int. J. Heat Mass Transfer, vol. 39, pp. 1363-1378, 1996.
21. K. Vafai and H. C. Tien, A Numerical Investigation of Phase Change Effects in Porous Materials, Int. J. Heat Mass Transfer, vol. 32, pp. 1261-1277, 1989.
22. H. C. Tien and K. Vafai, Pressure Stratification Effects on Multiphase Transport Across a Vertical Slot Porous Insulation, ASMEJ. Heat Transfer, vol. 112, pp. 1023-1031, 1990.
23. A. J. Chorin, Numerical Solution of Navier-Stokes Equations, Math. Comput., vol. 22, pp. 745-762, 1968.
24. S. V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere, New York, 1980.
25. G. S. Beavers and E. M. Sparrow, Non-Darcy Flow Through Fibrous Porous Media, ASMEJ. Appl. Mech., vol. 36, pp. 711-714, 1969.