Abstract
The dynamics and heat transfer processes in a planar layer of viscous incompressible heat-conducting liquid with free boundaries under condition of zero gravity are investigated. The influence of thermocapillary forces and additional tangential stresses on the boundaries caused by the environment is taken into account. A special class of solutions of the Navier-Stokes equations is used to model the flows and layer deformations. The numerical results of investigation of the layer dynamics and temperature field in the three-dimensional case are presented.
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