Abstract
This paper reviews some aspects of our recent work pertinent to the character and stability of two dimensional and three dimensional thermocapillary and buoyant thermocapillary flows in a fixed rectangular cavity. For two dimensional calculations, the flow is assumed isothermal at the two vertical boundaries and adiabatic at the others. Three dimensional calculations include an assumed periodicity in the axial direction with planes of symmetry separating respective calculation regions. In all cases, thermocapillarity influences flow through a tangential shear boundary condition at the free surface. The limit of small Capillary number (Ca→0) is assumed and thus the free-surface is nondeformable to leading order.
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