2D thermocapillary motion of three fluids in a flat channel
Viktor K. Andreevab, Elena N. Cheremnykhab
a Institute of computational modelling SB RAS,
Akademgorodok, 50/44, Krasnoyarsk, 660036
b Institute of Mathematics and Computer Science,
Siberian Federal University,
Svobodny, 79, Krasnoyarsk, 660041,
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.
thermocapillarity, interface, mathematical modeling, numerical experiments.
PDF file (276 kB)
Received in revised form: 12.08.2016
Viktor K. Andreev, Elena N. Cheremnykh, “2D thermocapillary motion of three fluids in a flat channel”, J. Sib. Fed. Univ. Math. Phys., 9:4 (2016), 404–415
Citation in format AMSBIB
\by Viktor~K.~Andreev, Elena~N.~Cheremnykh
\paper 2D thermocapillary motion of three fluids in a flat channel
\jour J. Sib. Fed. Univ. Math. Phys.
Citing articles on Google Scholar:
Related articles on Google Scholar:
|Number of views:|