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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2024 Volume 17, Issue 3, Pages 415–426 (Mi jsfu1171)

The impact of inclination angle and thermal load on flow patterns in a bilayer system taking into account the mass transfer

Ekaterina V. Laskovetsab, Evgeniy E. Makarovba

a Institute of Computational Modeling SB RAS, Krasnoyarsk, Russian Federation
b Altai State University, Barnaul, Russian Federation

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

Keywords: exact solution, bilayer flow, thermocapillary interface, convection, mass transfer, inclined channel.

UDC: 536.25

Received: 03.10.2023
Received in revised form: 07.11.2023
Accepted: 20.02.2024

Language: English



© Steklov Math. Inst. of RAS, 2024