R. Perezcordon et Ji. Mengual, A STRAIGHTFORWARD APPROXIMATION TO THE EQUATIONS GOVERNING CONVECTIVEFLOWS IN MULTICOMPONENT FLUIDS, International journal of heat and mass transfer, 40(6), 1997, pp. 1427-1436
A straightforward non-linear extension of Boussinesq's approximation f
or two-component fluids is presented. The perturbative method proposed
permits the numerical separation of the different orders in the obtai
ned hierarchy of equations. The procedure is useful for the analysis o
f buoyancy driven flows and the stability of convective patterns. The
fluid layer thicknesses, for which the Sorer and Dufour effects must b
e retained in the equations, may be determined. The influence of the h
ydrostatic field on the heat equation may be obtained in relation to t
he layer thickness. The analysis permits us to obtain useful conclusio
ns about the stability in two important examples of this kind of syste
m: dry air and salt water. The method may be easily extended to multi-
component fluids and to any other physical problem. Copyright (C) 1996
Elsevier Science Ltd.