Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1139147 | Mathematics and Computers in Simulation | 2016 | 7 Pages |
Abstract
We employ recent ideas of C.I. Christov and of A. Morro to develop a theory for diffusion of a solute in a Darcy porous medium taking convection effects into account. The key point is that the solute evolution is not governed by a parabolic system of equations. Indeed, the theory developed is basically hyperbolic. This still leads to a model which allows for convective (gravitational) overturning in a porous layer, but in addition to the classical mode of stationary convection instability there is the possibility of oscillating convection being dominant for a lower salt Rayleigh number, if the relaxation time is sufficiently large.
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Authors
M. Gentile, B. Straughan,