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This article is cited in 1 scientific paper (total in 1 paper) Influence of the interfacial internal energy on the thermocapillary steady flow Victor K. Andreevab a Institute of Mathematics and Fundamental Informatics, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia b Institute of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk Abstract: Two-dimensional creeping motion of a two immiscible viscous heat-conducting fluids on the interface for which the surface tension depends linearly on the temperature is investigated. On solid walls the temperature has extreme values and this agrees well with the velocity field of the Hiemenz's type. At small Marangoni numbers an exact solution of arising inverse boundary value problem is found. The estimation of degree of influence of the interfacial internal energy on the stationary flow is given. Keywords: interface, thermocapillary, interfacial internal energy, inverse problem.
DOI: https://doi.org/10.17516/1997-1397-2017-10-4-537-547   Full text:
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UDC: 532.51 Received: 10.05.2017 Received in revised form: 10.06.2017 Accepted: 20.07.2017 Language: Citation: Victor K. Andreev, “Influence of the interfacial internal energy on the thermocapillary steady flow”, J. Sib. Fed. Univ. Math. Phys., 10:4 (2017), 
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