Compound model of thermocapillary cell formed at local heating the free boundary of liquid

The compound model is proposed for an isolated thermocapillary cell arising at beam heating the free liquid surface. The model is based on a piecewise-parabolic approximation for a boaadaiy function of the thermal problem. Such an approach provides a possibility to reveal the ceil structure and determine relation between the heat and mass transfer characteristics and the similarity parameters; a non-linear consideration is given to explicit solutions for the equations of hydrodynamics and heat transfer. Cell thickness is estimated for convection in the half-space.