Siberian Federal University

Bilayer convective flows of liquid and gas-vapor mixture in an inclined channel are modeled taking into account the heat and mass transfer at the thermocapillary interface. Mathematical modeling is based on the exact solutions of special type of the Navier-Stokes equations in the Oberbeck-Boussinesq approximation, with consideration of the Soret and Dufour effects in the gas-vapor layer. Inclined or horizontal position of the channel and direction of the boundary thermal load determine a form of the exact solution and an algorithm of its construction. Examples of the velocity profiles, temperature and vapor concentration distributions in the «ethanol — nitrogen» system are demonstrated. Results of comparative analysis of the two-layer flows in the system positioned horizontally and by small inclination from the horizontal level are presented. The influence of the thermal load intensity on the flow and mass transfer characteristics is studied