Abstract
The present paper is concerned with free convection in a horizontal porous layer with anisotropic thermal diffusivity. It is assumed that the diffusivity has rotational symmetry, with a symmetry axis making an arbitrary angle against the vertical. The critical Rayleigh number and wave number at marginal stability are calculated and the steady motion occurring at convection onset is examined. It is found that there are two different types of convection cells, depending on whether the longitudinal diffusivity is larger than the transverse diffusivity or not. In the former case, the convection cells are rectangular with vertical lateral walls. In the latter case, however, the lateral cell walls are tilted as well as curved.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Castinel, G. and Combarnous, M., 1974, Critère d'apparition de la convection naturelle dans une couche poreuse anisotrope horizontale,C.R. Acad. Sci. Ser. B 287, 701–704.
Epherre, J. F., 1975, Critère d'apparition de la convection naturelle dans une couche poreuse anisotrope,Rev. Thermique 168, 949–950.
Kvernvold, O. and Tyvand, P. A., 1979, Nonlinear thermal convection in anisotropic porous media,J. Fluid Mech. 90, 609–624.
McKibbin, R., 1984, Thermal convection in layered and anisotropic porous media: A review, in R. A. Wooding and I. White (eds),Convective Flows in Porous Media, DSIR, Wellington, New Zealand, pp. 113–127.
McKibbin, R., 1986, Thermal convection in a porous layer: Effects of anisotropy and surface boundary conditions,Transport in Porous Media 1, 271–292.
Nilsen, T. and Storesletten, L., 1990, An analytical study on natural convection in isotropic and anisotropic porous channels,Trans. ASME C: J. Heat Transfer 112, 396–401.
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.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Storesletten, L. Natural convection in a horizontal porous layer with anisotropic thermal diffusivity. Transp Porous Med 12, 19–29 (1993). https://doi.org/10.1007/BF00616359
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00616359