Geodesic
2D thermocapillary motion of three fluids in a flat channel
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 4, pp. 404-415

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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.
Keywords: thermocapillarity, mathematical modeling, numerical experiments.
Mots-clés : interface 
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     author = {Viktor K. Andreev and Elena N. Cheremnykh},
     title = {2D thermocapillary motion of three fluids in a flat channel},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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Viktor K. Andreev; Elena N. Cheremnykh. 2D thermocapillary motion of three fluids in a flat channel. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 4, pp. 404-415. http://geodesic.mathdoc.fr/item/JSFU_2016_9_4_a0/