An Analytical Study of Free Convective Boundary Layer Flow in Porous Media: The Effect of Anisotropic Diffusivity

Transport in Porous Media

Volumn 27, Issue 3, 1997, Pages 289-304

  Storesletten, L ^a   Rees, D A S ^b  

^a UNIVERSITY OF AGDER   (Norway)

^b UNIVERSITY OF BATH   (United Kingdom)

Author keywords

Anisotropy; Boundary layer; Free convection

Indexed keywords

ANISOTROPY; MECHANICAL PERMEABILITY; NATURAL CONVECTION; POROUS MATERIALS; THERMAL DIFFUSION IN SOLIDS;

BOUNDARY LAYER THEORY;

BOUNDARY LAYER FLOW;

ANISOTROPY; BOUNDARY LAYER; FLOW; POROUS MEDIUM; THERMAL DIFFUSION;

ANISOTROPY; BOUNDARY LAYER FLOW; CONVECTION; DIFFUSIVITY; POROUS MEDIUM;

EID: 0031164768     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1006576911797     Document Type: Article

References (15)

1. Chang, I. D. and Cheng, P.: 1983, Matched asymptotic expansions for free convection about an impermeable horizontal surface in a porous medium, Int. J. Heat Mass Transf. 26, 163-174.
2. Cheng, P. and Chang, I. D.: 1976, Buoyancy induced flows in a porous medium adjacent to impermeable horizontal boundaries, Int. J. Heat Mass Transf. 19, 1267-1272.
3. Cheng, P. and Hsu, C. T.: 1984, Higher order approximations for Darcian free convection about a semi-infinite vertical flat plate, Trans. ASME J. Heat Transfer 106, 143-151.
4. Cheng, P. and Minkowycz, W. J.: 1977, Free convection about a vertical flat plate imbedded in a porous medium with application to heat transfer from a dike, J. Geophys. Res. 82, 2040-2044.
5. Daniels, P. G. and Simpkins, P. G.: 1984, The flow induced by a heated vertical wall in a porous medium, Q. J. Mech. Appl. Math. 37, 339-354.
6. Degan, G., Vasseur, P. and Bilgen, E.: 1995, Convective heat transfer in a vertical anisotropic porous layer, Int. J. Heat Mass Transfer 38, 1975-1987.
7. Ene, H. I.: 1991, Effects of anisotropy on the free convection from a vertical plate embedded in a porous medium, Transport in Porous Media 6, 183-194.
8. Kvernvold, O. and Tyvand, P. A.: 1979, Nonlinear thermal convection in anisotropic porous media, J. Fluid Mech. 90, 609-624.
9. Ni, J. and Beckermann, C.: 1991, Natural convection in a vertical enclosure filled with anisotropic porous media, Trans. ASME J. Heat Transfer 113, 1033-1037.
10. Rees, D. A. S. and Riley, D. S.: 1985, Free convection above a near horizontal semi-infinite heated surface embedded in a saturated porous medium, Int. J. Heat Mass Transfer 28, 183-190.
11. Rees, D. A. S. and Storesletten, L.: 1995, The effect of anisotropic permeability on free convective boundary layer flow in porous media, Transport in Porous Media 19, 79-92.
12. Riley, D. S. and Rees, D. A. S.: 1985, Non-Darcy natural convection from arbitrarily inclined heated surfaces in saturated porous media, Q. J. Mech. Appl. Math. 38, 277-295.
13. Storesletten, L.: 1993, Natural convection in a horizontal porous layer with anisotropic thermal diffusivity, Transport in Porous Media 12, 19-29.
14. Storesletten, L. and Rees, D. A. S.: 1997, The influence of higher-order effects on the linear instability of thermal boundary layer flow in porous media. Submitted to Int. J. Heat Mass Transfer
15. Tyvand, P. A. and Storesletten, L.: 1991, Onset of convection in an anisotropic porous medium with oblique principal axes, J. Fluid Mech. 226, 371-382.