Geodesic
The impact of inclination angle and thermal load on flow patterns in a bilayer system taking into account the mass transfer
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 3, pp. 415-426

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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: bilayer flow, mass transfer, inclined channel.
Mots-clés : exact solution, thermocapillary interface, convection 
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     title = {The impact of inclination angle and thermal load on flow patterns in a bilayer system taking into account the mass transfer},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     number = {3},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2024_17_3_a12/}
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Ekaterina V. Laskovets; Evgeniy E. Makarov. The impact of inclination angle and thermal load on flow patterns in a bilayer system taking into account the mass transfer. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 3, pp. 415-426. http://geodesic.mathdoc.fr/item/JSFU_2024_17_3_a12/