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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
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UDC:
532.51 Received: 10.05.2017 Received in revised form: 10.06.2017 Accepted: 20.07.2017
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Citation:
Victor K. Andreev, “Influence of the interfacial internal energy on the thermocapillary steady flow”, J. Sib. Fed. Univ. Math. Phys., 10:4 (2017), 537–547
Citation in format AMSBIB
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\paper Influence of the interfacial internal energy on the thermocapillary steady flow
\jour J. Sib. Fed. Univ. Math. Phys.
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\vol 10
\issue 4
\pages 537--547
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http://mi.mathnet.ru/eng/jsfu584 http://mi.mathnet.ru/eng/jsfu/v10/i4/p537
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This publication is cited in the following articles:
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E. N. Lemeshkova, “Two-dimensional plane steady-state thermocapillary flow”, Fluid Dyn., 54:1 (2019), 33–41
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