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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}
Linking options:
  • https://www.mathnet.ru/eng/sjim961
  • https://www.mathnet.ru/eng/sjim/v20/i2/p83
    • This publication is cited in the following 8 articles:
    1. Victoria B. Bekezhanova, Olga N. Goncharova, “Modeling of stratified two‐phase flows with non‐uniform evaporation based on the exact solution of convection equations”, Math Methods in App Sciences, 47:2 (2024), 847  crossref
    2. Victoria Bekezhanova, Olga Goncharova, “Theoretical Analysis of the Gravity Impact on the Parameters of Flow Regimes with Inhomogeneous Evaporation Based on an Exact Solution of Convection Equations”, Microgravity Sci. Technol., 34:5 (2022)  crossref
    3. V. B. Bekezhanova, O. N. Goncharova, “Influence of the dufour and soret effects on the characteristics of evaporating liquid flows”, Int. J. Heat Mass Transf., 154 (2020), 119696  crossref  isi  scopus
    4. I. A. Shefer, “Influence of the transverse temperature drop on the stability of two-layer fluid flows with evaporation”, Fluid Dyn., 54:5 (2019), 603–613  crossref  crossref  mathscinet  zmath  isi  elib  scopus
    5. V. B. Bekezhanova, O. N. Goncharova, “Problems of evaporative convection (review)”, Fluid Dyn., 53:1 (2018), S69–S102  crossref  mathscinet  isi  scopus
    6. V. B. Bekezhanova, I. A. Shefer, “Influence of gravity on the stability of evaporative convection regimes”, Microgravity Sci. Technol., 30:4 (2018), 543–560  crossref  isi  scopus
    7. O. N. Goncharova, V. B. Bekezhanova, I. A. Shefer, “Analysis of An Exact Solution of Problem of the Evaporative Convection (Review). Part i. Plane Case”, J. Sib. Fed. Univ.-Math. Phys., 11:2 (2018), 178–190  mathnet  crossref  mathscinet  isi  scopus
    8. Lyulin Y.V., Rezanova E.V., “Convective Fluid Flows in a Horizontal Channel With Evaporation: Analytical and Experimental Investigations”, Joint 12th International Conference: Two-Phase Systems For Space and Ground Applications and 2nd International School of Young Scientists Interfacial Phenomena and Heat Transfer, Journal of Physics Conference Series, 925, eds. Kabov O., Lyulin Y., Zaitsev D., IOP Publishing Ltd, 2017, UNSP 012001  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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