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Sibirskii Zhurnal Industrial'noi Matematiki, 2017, Volume 20, Number 2, Pages 83–92
DOI: https://doi.org/10.17377/sibjim.2017.20.209 (Mi sjim961) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Influence of the thermal load on the characteristics of a flow with evaporation

E. V. Rezanovaab, I. A. Sheferc

a Kutateladze Institute of Thermophysics SB RAS, Acad. Lavrentyev ave., 1, 630090 Novosibirsk
b Altai State University, Lenin ave., 61, 656049 Barnaul
c Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny ave., 79, 660041 Krasnoyarsk
Full-text PDF (892 kB) Citations (8)
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DOI: https://doi.org/10.17377/sibjim.2017.20.209
Abstract: We study two-layer flows of liquid and gas in a horizontal channel under given gas flow rate. Evaporation is taken into account on the thermocapillary interface. An exact solution is constructed to Navier–Stokes equations in the Boussinesq approximation taking into account the Dufour effect in the gas-vapor layer. In the framework of the linear theory, we study the stability of the obtained solutions and the characteristics of the arising perturbations. The influence of the width of the liquid layer and the longitudinal temperature gradient on the strucuture of the principal flow and the perturbations is studied.
Keywords: exact solution, Dufour effect, thermocapillary interface, stability.
Funding agency Grant number
Russian Foundation for Basic Research 14-08-00163
Received: 22.03.2016
English version:
Journal of Applied and Industrial Mathematics, 2017, Volume 11, Issue 2, Pages 274–283
DOI: https://doi.org/10.1134/S1990478917020132
Bibliographic databases:
Document Type: Article
UDC: 532.5.013.4
Language: Russian
Citation: E. V. Rezanova, I. A. Shefer, “Influence of the thermal load on the characteristics of a flow with evaporation”, Sib. Zh. Ind. Mat., 20:2 (2017), 83–92; J. Appl. Industr. Math., 11:2 (2017), 274–283
Citation in format AMSBIB
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\by E.~V.~Rezanova, I.~A.~Shefer
\paper Influence of the thermal load on the characteristics of a~flow with evaporation
\jour Sib. Zh. Ind. Mat.
\yr 2017
\vol 20
\issue 2
\pages 83--92
\mathnet{http://mi.mathnet.ru/sjim961}
\crossref{https://doi.org/10.17377/sibjim.2017.20.209}
\elib{https://elibrary.ru/item.asp?id=29116864}
\transl
\jour J. Appl. Industr. Math.
\yr 2017
\vol 11
\issue 2
\pages 274--283
\crossref{https://doi.org/10.1134/S1990478917020132}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85019748109}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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