Effects of variable viscosity on non-Darcy MHD free convection along a non-isothermal vertical surface in a thermally stratified porous medium

Applied Mathematical Modelling

Volumn 31, Issue 8, 2007, Pages 1621-1634

  Afify, Ahmed A ^a  

^a Helwan University   (Egypt)

Author keywords

MHD; Non Darcy free convection; Variable viscosity

Indexed keywords

FINITE DIFFERENCE METHOD; MAGNETOHYDRODYNAMICS; MATHEMATICAL MODELS; NUSSELT NUMBER; THERMAL CONDUCTIVITY; THERMAL DIFFUSION; THERMAL STRATIFICATION; VISCOSITY;

ELECTRICALLY CONDUCTING FLUID; NON-DARCIAN FLOW PHENOMENA; WALL EFFECT;

NATURAL CONVECTION;

FINITE DIFFERENCE METHOD; MAGNETOHYDRODYNAMICS; MATHEMATICAL MODELS; NATURAL CONVECTION; NUSSELT NUMBER; THERMAL CONDUCTIVITY; THERMAL DIFFUSION; THERMAL STRATIFICATION; VISCOSITY;

EID: 33847390774     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2006.05.002     Document Type: Article

References (27)

1. Minkowycz W.J., and Cheng P. Free convection about a vertical cylinder embedded in a porous medium. Int. J. Heat Mass Transfer 19 (1987) 805-813
2. Cheng P., and Minkowycz W.J. Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike. J. Geophys. Res. 82 (1977) 2040-2044
3. Nakayama A., and Koyama H. A general similarity transformation for combined free and forced convection flows within a fluid saturated porous medium. J. Heat Mass Transfer 28 (1995) 1041-1045
4. Badr H.M., and Pop I. Combined convection from an isothermal horizontal rod buried in a porous medium. Int. J. Heat Mass Transfer 31 (1988) 2527-2541
5. Hong J.T., Yamada Y., and Tien C.L. Effect of non-Darcian and nonuniform porosity on vertical plate natural convection in porous medium. Int. J. Heat Mass Transfer 109 (1987) 356-362
6. Vafai K., and Tien C.L. Boundary and inertia effects on flow and heat transfer in porous medium. Int. J. Heat Mass Transfer 24 (1981) 195-203
7. Ranganathan P., and Viskanta R. Mixed convection boundary layer flow along a vertical porous medium. Numer. Heat Transfer 7 (1984) 305-317
8. Cheng P. thermal dispersion effects in non-Darcian flows in a saturated porous medium. Lett. Heat Mass Transfer 8 (1981) 267-270
9. Beji H., and Gobin D. influence of thermal dispersion on natural convection heat transfer in porous media. Numer. Heat Transfer part A 22 (1992) 487-498
10. Singh P., and Tewari K. Non-Darcy free convection from vertical surfaces in thermally stratified porous media. Int. J. Engng. Sci. 31 (1993) 1233-1242
11. Chen C.-H., and Horng J.-H. Natural convection from a vertical cylinder in a thermally stratified porous medium. Heat Mass Transfer 34 (1999) 423-428
12. Phanikumar M.S., and Mahajan R.L. Non-Darcy natural convection in high porosity metal foams. Int. J. Heat Mass Transfer 45 (2002) 3781-3793
13. Rathish Kumar B.V., and Shalini. Non-Darcy free convection induced by a vertical wavy surface in a thermally stratified porous medium. Int. J. Heat Mass Transfer 47 (2004) 2353-2363
14. Cebeci T., and Bradshaw P. Physical and Computational Aspects of Convective Heat Transfer (1984), Springer, New York
15. Lai F.C., and Kulacki F.A. The effect of variable viscosity on convective heat transfer along a vertical surface in a saturated porous media. Int. J. Heat Mass Transfer 33 (1990) 1028-1031
16. Ergun S. Fluid flow through packed columns. Chem. Engng. Prog. 48 (1952) 89-94
17. Vafai K. Convective flow and heat transfer in variable porosity media. J. fluid Mech. 147 (1984) 233-259
18. Benenati R.F., and Brosilow C.B. Void fraction distribution in beds of spheres. AIChE J. 8 (1962) 359-361
19. Roblee L.H.S., Baird R.M., and Tierney J.W. Radial porosity variations in packed beds. AIChE J. 4 (1958) 460-464
20. Nield D.A., and Bejan A. Convection in Porous Media (1992), Springer-Verlag, Berlin
21. Bear J. Dynamics of Fluid in Porous Media (1972), American Elsevier
22. Zehner P., and Schluender E.U. Waermeleitfahigkeit von schuettungen bei massigen temperaturen. Chemie Ingr Tech. 42 (1970) 933-941
23. Hsu C.T., and Cheng P. Closure schemes of the macroscopic energy equation for convective heat transfer in porous media. Int. Commun. Heat Mass Transfer 15 (1988) 689-703
24. Hsu C.T., and Cheng P. Thermal dispersion in a porous medium. Int. J. Heat Mass Transfer 33 (1990) 1587-1597
25. Kafoussias N.G., and Williams E.W. The effect of temperature dependent viscosity on free-forced convective laminar boundary layer flow past a vertical isothermal flat plate. Acta Mech. 110 (1995) 123-137
26. Hung C.-I., Chen C.-H., and Chen C.-B. Non-Darcy free convection along a nonisothermal vertical surface in a thermally stratified porous medium. Int. J. Engng. Sci. 37 (1999) 477-495
27. Hong J.T., Yamada Y., and Tien C.L. Effects of non-Darcian and nonuniform porosity on vertical plate natural convection in porous medium. J. Heat Transfer 109 (1987) 356-362