Steady thermocapillary and buoyancy driven flow in two-dimensional slots

The effect of buoyancy on the Row in a two-dimensional slot, induced by a temperature gradient along the free surface between two immiscible fluids, is investigated. For small aspect ratio slots, the complete how structure is calculated using asymptotic matching of the outer core how and the inner boundary layer how near the side waits. The shape of the deformed free surface is also obtained. Buoyancy causes a decrease in the magnitude of the deflection, but does not affect the shape. The theory is validated against some earlier experiments using acetone. (C) Elsevier, Paris.