Deformation of a Viscous Heat Conducting Free Liquid Layer by the Thermocapillary Forces and Tangential Stresses: Analytical and Numerical Modeling

The coupled problem of a non stationary flow of a liquid layer with free boundaries and heat transfer in a layer is investigated under conditions of weightlessness. To describe the layer deformations caused by the inhomogeneous temperature distributions and additional tangential stresses a class of the solutions of the Navier–Stokes equations is used. The two-dimensional solutions are characterized by a linear dependence of the longitudinal component of velocity on the longitudinal coordinate. The results of the problem of the heat conducting liquid layer deformations allow to characterize a behavior of the free liquid films and to control the mechanisms of deformations.