R. Bennacer et al., Multiple natural convection solution in porous media under cross temperature and concentration gradients, NUM HEAT A, 39(6), 2001, pp. 553-567
Double-diffusive natural convection is of interest in several natural and i
ndustrial fields,for example, oceanography, nuclear waste, transformation p
rocesses, and crystal growth techniques, This work focuses on double-diffus
ive natural convection in a square cavity filled with porous media heated a
nd cooled along vertical walls by uniform heat fluxes when a solutal flux i
s imposed vertically, The formulation of the problem is based on tire Darcy
-Brinkman model, and the density variation is taken into account by the Bou
ssinesq approximation, We found three distinct regimes, The first is a full
y thermal convective regime in which the pow is essentially due to thermal
buoyancy forces, The second is a diffusive one where the solutal forces are
strong enough to produce a stable solutal stratification with no significa
nt convective flows, The third is an intermediate regime where competition
between the two buoyancy forces takes place. In the intermediate regime a h
ysterisys is observed and two different solutions can be obtained depending
on tire initial state, The effects of Rayleigh, Lewis, and Darcy numbers a
re analyzed.