Mg. Braunsfurth et Gm. Homsy, COMBINED THERMOCAPILLARY-BUOYANCY CONVECTION IN A CAVITY .2. AN EXPERIMENTAL-STUDY, Physics of fluids, 9(5), 1997, pp. 1277-1286
The problem of buoyant-thermocapillary convection in cavities is gover
ned by a relatively large number of nondimensional parameters, and the
re is consequently a large number of different types of flow that can
be found in this system. Previous results give disjoint glimpses of a
wide variety of qualitatively and quantitatively different results in
widely different parts of parameter space. In this study, we report ex
periments on the primary and secondary instabilities for acetone as th
e working fluid with a Prandtl number of 4.44, and in a geometry with
equal aspect ratios in the range from 1 to 8 in both the direction alo
ng and perpendicular to the applied temperature gradient. We thus comp
lement previous work that mostly involved either fluid layers of large
extent in both directions, or consisted of investigations of strictly
two-dimensional disturbances. We investigate the qualitative and quan
titative features of the fluid velocity field by flow visualization an
d particle tracking techniques. We observe the primary transition from
an essentially two-dimensional flow to steady three-dimensional longi
tudinal rolls. The critical Marangoni number for this first transition
is found to depend on the aspect ratios of the system, and varies fro
m 4.6x10(5) at aspect ratio 2.0 to 5.5x10(4) at aspect ratio 3.5. The
structure of the steady three-dimensional how far above the transition
is found to involve a nonintuitive reverse flow against the temperatu
re driving due to the strongly nonlinear three-dimensional flow associ
ated with the longitudinal rolls. Further, we have investigated the st
ability of this three-dimensional flow at larger Marangoni numbers, an
d find a novel oscillatory flow at critical Marangoni numbers of the o
rder of 6x10(5). We suggest possible mechanisms that give rise to the
oscillations. (C) 1997 American Institute of Physics.