Thermocapillary convection in two-layer liquid system with deformed interfaces

Earlier analysis for the steady thermocapillary convection of two superposed layers of immiscible liquids with deformed free surface and flat liquid-liquid interface in a configuration similar to that of an encapsulated crystal growth has been extended to the case with both interface and free surface being deformed. The shapes of free surface and interface are determined for different parameters and the effect of these parameters on streamline structure is also analysed. The structure of the streamlines and isotherms for deformable interface and free surface qualitatively remains the same as that for flat interface and free surface. It is found that the assumption of flat free surface and interface is good for certain fluids