Journal of Siberian Federal University. Mathematics & Physics / On a Creeping 3D Convective Motion of Fluids with an Isothermal Interface

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2020 13 (6)
Authors
Andreev, Viktor K.
Contact information
Andreev, Viktor K.: Institute of Computational Modelling SB RAS Krasnoyarsk, Russian Federation Siberian Federal University Krasnoyarsk, Russian Federation;
Keywords
Oberbek–Boussinesq model; interphase energy; creeping flow; inverse problem
Abstract

In the work the 3D two-layer motion of liquids, the velocity field of which has a special form, is considered. The arising conjugate initial boundary value problem for the Oberbek–Boussinesq model is reduced to a system of ten integrodifferential equations with full conditions on a flat interface. It is shown that for small Marangoni numbers the stationary problem can have up to two solutions. The case when the stationary flow arises due to a change in the internal interphase energy is analyzed separately

Pages
661-669
DOI
10.17516/1997-1397-2020-13-6-661-669
Paper at repository of SibFU
http://elib.sfu-kras.ru/handle/2311/137554