Journal of Siberian Federal University. Mathematics & Physics / 2D Thermocapillary Motion of Three Fluids in a Flat Channel

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2016 9 (4)
Authors
Andreev, Victor K.; Cheremnykh, Elena N.
Contact information
Andreev, Victor K.: Institute of computational modelling SB RAS Akademgorodok, 50/44, Krasnoyarsk, 660036 Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia; ; Cheremnykh, Elena N.: Institute of computational modelling SB RAS Akademgorodok, 50/44, Krasnoyarsk, 660036 Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia; elena
Keywords
thermocapillarity; interface; mathematical modeling; numerical experiments
Abstract

Two-dimensional creeping motion of three immiscible, incompressible viscous fluids in a flat channel bounded by fixed solid walls, on which the temperature distribution is known, is investigated. The motion is induced only by the thermalcapillary forces beginning from the state of rest. Unsteady motion is described by finite analytic formulas obtained by Laplace transform in images. The evolution of the velocity fields to the stationary regime for specific liquids is obtained by the numerical inversion of Laplace transformation

Pages
404–415
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/29984