Transport in Porous Media, Vol.27, No.2, 135-142, 1997
Notes on convection in a porous medium .1. An effective Rayleigh number for an anisotropic layer .2. The Malkus hypothesis and wavenumber selection
Studies of convection in a layer of a saturated anisotropic porous medium uniformly heated from below are reviewed. Emphasis is placed on the usefulness of an effective Rayleigh number, defined (for certain boundary conditions) as the square harmonic-mean square root of horizontally-based and vertically-based Rayleigh numbers. The status of the Malkus hypothesis, together with its relationship with observed cell size, is also discussed. A possible explanation is provided for the observed phenomenon that in a porous medium the cell size decreases as the amplitude of convection increases, whereas in a clear fluid the cell size increases.
Keywords:THERMAL-CONVECTION;FLUID