Dm. Manole et Jl. Lage, NUMERICAL-SIMULATION OF SUPERCRITICAL HADLEY CIRCULATION, WITHIN A POROUS LAYER, INDUCED BY INCLINED TEMPERATURE-GRADIENTS, International journal of heat and mass transfer, 38(14), 1995, pp. 2583-2593
Simulations of supercritical Hadley circulation, induced by horizontal
and vertical temperature gradients imposed on a fluid saturated porou
s medium layer, are performed numerically. The mathematical model conf
ines the simulation to longitudinal flow in which secondary cell axes
are transverse to the direction of the Hadley circulation. Numerical r
esults agree well with critical (bifurcation) states predicted theoret
ically via linear stability analysis. For horizontal Rayleigh number,
Ra-b, smaller than 40 and vertical Rayleigh number, Ra-v, beyond a cri
tical value, results indicate that the flow evolves from subcritical H
adley circulation to supercritical Horton-Rodgers-Lapwood-like flow. A
switch in the preferential heat transport direction, from horizontal
to vertical, parallels this evolution. For Ra-h beyond 40, numerical s
imulations at supercritical regime reveal the appearance of a travelin
g wave characterized by continuous drifting of flow cells in the direc
tion opposite to the applied horizontal temperature gradient, that is
towards the cooler temperature.