The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

This book is a revised edition of my earlier book of the same title. The cur rent edition adopts
the structure of the earlier version but is much changed. The introduction now contains …

This book presents an account of theories of? ow in porous media which have proved
tractable to analysis and computation. In particular, the t-ories of Darcy, Brinkman, and …

This paper deals with natural convection in confined porous media, driven by cooperating
thermal and solutal buoyancy forces. The physical model for the momentum conservation …

Thermally-driven natural convection is theoretically explored in the present work within a
porous layer with respect to the Darcy's law. The usual non circulating basic cellular flow …

Natural convection flow in porous media, due to thermal buoyancy alone, has been widely
studied (Combarnous and Bories, 1975) and well-documented in the literature (Cheng …

Saline groundwater and irrigation drainage are commonly diverted and stored in both
natural and artificial depressions throughout the Murray–Darling Basin of Australia. The …

We develop the compound matrix method and the Chebyshev tau method to be applicable
to linear and nonlinear stability problems for convection in porous media, in a natural way. It …

The effects of the double-diffusion and viscous dissipation on the convective instability in a
horizontal porous layer are investigated. The porous medium is saturated with a binary …

The stability of Soret-driven thermosolutal convection in a shallow horizontal layer of a
porous medium subjected to inclined thermal and solutal gradients of finite magnitude is …