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