N. V. Burmasheva, E. Yu. Prosviryakov

AN EXACT SOLUTION TO THE DESCRIPTION OF A UNIDIRECTIONAL MARANGONI FLOW OF A VISCOUS INCOMPRESSIBLE FLUID WITH THE NAVIER BOUNDARY CONDITION. VELOCITY FIELD INVESTIGATION

The article considers the unidirectional flow of a viscous incompressible fluid in an infinite horizontal layer of a given thickness, which is induced by the thermocapillary effect specified at the upper boundary of the layer and taking into account the condition of fluid slipping at the lower boundary. An exact solution to the Oberbeck-Boussinesq equation system is obtained. A detailed analysis of the velocity field was carried out for various slip length values. It is shown that counterflows may occur in a fluid. Their number is analyzed, the conditions for the appearance of velocity field stratification are written.

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