Analytical solutions of fluid flows through composite channels

Journal of Porous Media

Volumn 4, Issue 2, 2001, Pages 149-163

  Al Hadhrami, A K ^a   Elliott, L ^a   Ingham, D B ^a   Wen, X ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000518934     PISSN: 1091028X     EISSN: None     Source Type: Journal    
DOI: 10.1615/jpormedia.v4.i2.50     Document Type: Article

References (26)

1. Al-Nimr, M. A. and Alkam, M., Unsteady non-Darcian fluid flow in parallel-plates channels partially filled with porous materials, Heat Mass Transfer, vol. 33, pp. 315-318, 1998.
2. Al-Nimr, M. A. and Haddad, O. M., Fully developed free convection in open-ended vertical channels partially filled with porous materials, J. Porous Media, vol. 2, pp. 179-189, 1999.
3. Beavers, G. S. and Joseph, D. D., Boundary conditions at a naturally permeable wall, J. Fluid Mech., vol. 13, pp. 197-207, 1967.
4. Bejan, A. and Poulikakos, D., The non-Darcy regime for vertical boundary layer natural convection in a porous medium, Int. J. Heat Mass Transfer, vol. 27, pp. 717-722, 1984.
5. Brinkman, H. C., A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles, Appl. Sci. Res. A, vol. 1, pp. 27-34, 1947a.
6. Brinkman, H. C., On the permeability of media consisting of closely packed porous particles, Appl. Sci. Res. A, vol. 1, pp. 81-86, 1947b.
7. Chikh, S., Boumedien, A., and Bouhadef, K., Analytical solution of non-Darcian forced convection in an annular duct partially filled with a porous medium, Int. J. Heat Mass Transfer, vol. 38, pp. 1543-1551, 1995.
8. Chorlton, F., Textbook of Fluid Dynamics, D. Van Nostrand, Canada, 1967.
9. Coberly, C. A. and Marshall, Jr., Temperature gradients in gas streams flowing through fixed granular beds, Chem. Engrg. Prog., vol. 47, pp. 141-160, 1951.
10. Joseph, D. D. and Tao, L. N., Lubrication of a porous bearing-Stokes solution, J. Appl. Mech., vol. 33, pp. 753-760, 1966.
11. Kaviany, M., Principles of Heat Transfer in Porous Media, Springer-Verlag, New York, 1991.
12. Kuznetsov, A. V., Forced convection heat transfer in a parallel-plate channel with a porous core, Appl. Mech. Engng., vol. 4, pp. 271-290, 1999.
13. Kuznetsov, A. V. and Xiong, M., On the limitations of the singledomain approach for computation of convection in composite channels-comparisons with exact solutions, Hybrid Methods Engng., vol. 1, pp. 249-264, 1999.
14. Larson, R. E. and Higdon, J. J. L., Microscopic flow near the surface of two-diimensional porous media - I. Axial flow, J. Fluid Mech., vol. 166, pp. 449-472, 1987a.
15. Larson, R. E. and Higdon, J. J. L., Microscopic flow near the surface of two-dimensional porous media - II. Transverse flow, J. Fluid Mech., vol. 178, pp. 119-136, 1987b.
16. Nield, D. A., The limitations of the Brinkman-Forchheimer equation in modelling flow in a saturated porous medium and at an interface, Int. J. Heat Fluid Flow, vol. 12, pp. 269-272, 1991.
17. Nield, D. A. and Bejan, A., Convection in Porous Media. Springer-Verlag, New York, 1992.
18. Ochoa-Tapia, J. A. and Whitaker, S., Momentum transfer at the boundary between a porous medium and a homogeneous fluid - I. Theoretical development, Int. J. Heat Mass Transfer, vol. 38, pp. 2635-2646, 1995a.
19. Ochoa-Tapia, J. A. and Whitaker, S., Momentum transfer at the boundary between a porous medium and a homogeneous fluid - II. Comparison with experiment. Int. J. Heat Mass Transfer, vol. 38, pp. 2646-2655, 1995b.
20. Plautz, D. A. and Johnstone, H. F., Heat and mass transfer in packed beds. AlChE, vol. 1, pp. 141-150, 1951.
21. Rudraiah, N., Coupled parallel flows of a fluid layer and porous medium, J. Fluids Energy., vol. 107, pp. 322-329, 1985.
22. Sahraoui, M. and Kaviany, M., Slip and non-slip velocity boundary conditions at interface of porous, plain media, Int. J. Heat Mass Transfer, vol. 35, pp. 927-943, 1992.
23. Vafai, K., Convective flow and heat transfer in variable-porosity media, J. Fluid Mech., vol. 147, pp. 233-259, 1984.
24. Vafai, K. and Kim, S. J., Fluid mechanics of the interface region between a porous medium and fluid layer-an exact solution, Int. J. Heat Fluid Flow, vol. 11, pp. 254-256, 1990.
25. Vafai, K. and Thiyagaraja, R., Analysis of flow and heat transfer at the interface region of a porous medium, Int. J. Heat Mass Transfer, vol. 30, pp. 1391-1406, 1987.
26. Yagi, S. and Kunii, D., Studies on heat transfer near wall surface on packet tubes, AlChE Jl, vol. 6, pp. 97-104, 1960.