M. Vynnycky et I. Pop, MIXED CONVECTION DUE TO A FINITE HORIZONTAL FLAT-PLATE EMBEDDED IN A POROUS-MEDIUM, Journal of Fluid Mechanics, 351, 1997, pp. 359-378
Simultaneous steady forced and free convective flow past a heated or c
ooled body in a semi-infinite porous medium subject to the Darcy-Bouss
inesq approximation is treated analytically and numerically. A correct
ion term is derived in terms of the Rayleigh (Ra) and Peclet (Pe) numb
ers for the velocity and temperature fields far from the body; this is
subsequently implemented in a numerical treatment, using finite-diffe
rence techniques in elliptical coordinates, for 1 less than or equal t
o Pe less than or equal to 100 and \Ra\ less than or equal to 10(3). F
low separation is observed for both heating and cooling, perhaps surpr
isingly so for the former case since the flow near the plate is being
accelerated by comparison with the forced convection case. A simple an
alogy with inviscid flow theory serves to illustrate the manner in whi
ch separation eddies are formed for both heating and cooling cases.