Universal stability of a laminar dispersion of solute in a porous medium

Abstract

A universal stability limit for the laminar dispersion of a solute in a porous medium, is obtained in terms of a Reynolds number and a Rayleigh number. This stability limit is improved using the techniques of calculus of variation. By increasing the Reynolds number R_e towards unity, we find that the stability region is decreased by decreasing the Rayleigh number R_a for the solvent.