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A. V. Gorshkov, E. Y. Prosviryakov

COMPLEX STATIONARY CONVECTION WITH THIRD-KIND BOUNDARY CONDITIONS AT THE BOUNDARIES OF A FLUID LAYER

In this paper presents analytical solutions of the Oberbeck-Boussinesq system describing layered Benard-Marangoni convection flows in an incompressible viscous fluid. On the free surface a third-kind boundary condition is used, namely Newton’s heat transfer law.

Keywords: Benard-Marangoni convection, analytical solution, third-kind boundary conditions

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