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.
This research was supported by the Russian Foundation for Basic Research (17-01-00229).
Received: 10.05.2017 Received in revised form: 10.06.2017 Accepted: 20.07.2017
Bibliographic databases:
Document Type:
Article
UDC:
532.51
Language: English
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
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\paper Influence of the interfacial internal energy on the thermocapillary steady flow
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2017
\vol 10
\issue 4
\pages 537--547
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\crossref{https://doi.org/10.17516/1997-1397-2017-10-4-537-547}
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https://www.mathnet.ru/eng/jsfu584
https://www.mathnet.ru/eng/jsfu/v10/i4/p537
This publication is cited in the following 3 articles:
V. Sharanya, B. S. Padmavati, G. P. R. Sekhar, “Transient Stokes flow past a spherical droplet with a stagnant cap due to contaminated surfactant layer”, Theor. Comput. Fluid Dyn., 35:6 (2021), 783–806
V K Andreev, E N Lemeshkova, “Influence of the interface internal energy on monotone disturbances of a creeping stationary flow with a velocity field of the Hiemenz type”, J. Phys.: Conf. Ser., 1679:2 (2020), 022047
E. N. Lemeshkova, “Two-dimensional plane steady-state thermocapillary flow”, Fluid Dyn., 54:1 (2019), 33–41
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