Aa. Zaman et R. Narayanan, INTERFACIAL AND BUOYANCY-DRIVEN CONVECTION - THE EFFECT OF GEOMETRY AND COMPARISON WITH EXPERIMENTS, Journal of colloid and interface science, 179(1), 1996, pp. 151-162
In this study, pattern formation at the bifurcation point from the qui
escent state for free surface convection in circular containers is det
ermined, A linearized instability calculation that employs three-dimen
sional disturbances in the presence of physically realistic side wall
boundary conditions is made, The results of the present study will pro
vide a very useful asymptotic limit for nonlinear numerical computatio
ns. Under restrictive conditions the current calculations check favora
bly with those of earlier workers, The results of these studies are co
mpared with the experiments of Koschmieder and Prahl (J. Fluid Mech. 2
51, 571, 1990). (C) 1996 Academic Press, Inc.