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Thermocapillary motion of a liquid with a free surface with nonlinear dependence of the surface tension on the temperature
Authors:Yu P Gupalo  Yu S Ryazantsev
Abstract:The present note considers two problems concerning the thermocapillary motion, due to the existence of a temperature gradient, of a weightless liquid with a parabolic dependence of the surface tension on the temperature. These problems admit self-similar solutions (in the generalized sense) within the framework of the Navier-Stokes equations. It is noted that the solution may not be unique. Moscow. Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 132–137, September–October, 1988.
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