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J. Sib. Fed. Univ. Math. Phys., 2018, Volume 11, Issue 2, Pages 178–190 (Mi jsfu650)  

This article is cited in 9 scientific papers (total in 9 papers)

Analysis of an exact solution of problem of the evaporative convection (review). Part I. Plane case

Victoria B. Bekezhanovaab, Olga N. Goncharovacd, Ilia A. Sheferb

a Institute of Computational Modeling SB RAS, Academgorodok, 50/44, Krasnoyarsk, 660036, Russia
b Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
c Altai State University, Lenina, 61, Barnaul, 656049, Russia
d Institute of Thermophysics SB RAS, Lavrentieva, 1, Novosibirsk, 630090, Russia

Abstract: Development of theory describing the convection under conditions of "liquid – gas" phase transition, is caused by the active experimental study of the convective phenomena accompanied by evaporation/condensation at interphase. Results of the analytical and numerical investigation of new nonstandard problems of heat and mass transfer in domains with free surfaces or interfaces allow one to evaluate the adequacy of new mathematical models and to derive new characteristic criteria. The obtained fundamental knowledge on physical mechanisms of the studied processes provides the basis of modification and improvement of the fluidic technologies using the evaporating liquids and gas-vapor mixtures as working media. In the paper the analysis of the exact solution of the convection equations, which gives a possibility to model the two-layer convective fluid flows with evaporation, is presented.

Keywords: evaporative convection, exact solution, two-layer flows, thermocapillary interface.

Funding Agency Grant Number
Russian Foundation for Basic Research 17-08-00291_а
The work was supported by Russian Foundation for Basic Research (project 17-08-00291).


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UDC: 512.54
Received: 22.05.2017
Received in revised form: 09.11.2017
Accepted: 20.01.2018

Citation: Victoria B. Bekezhanova, Olga N. Goncharova, Ilia 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

Citation in format AMSBIB
\by Victoria~B.~Bekezhanova, Olga~N.~Goncharova, Ilia~A.~Shefer
\paper Analysis of an exact solution of problem of the evaporative convection (review). Part I. Plane case
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 2
\pages 178--190

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    This publication is cited in the following articles:
    1. Victoria B. Bekezhanova, Olga N. Goncharova, “Influence of the thermophysical properties of a liquid coolant on characteristics of the 3D flows with phase transition”, Zhurn. SFU. Ser. Matem. i fiz., 12:6 (2019), 655–662  mathnet  crossref
    2. 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  mathscinet  zmath  isi  scopus
    3. V. B. Bekezhanova, O. N. Goncharova, “Thermocapillary convection with phase transition in the 3D channel in a weak gravity field”, Microgravity Sci. Technol., 31:4 (2019), 357–376  crossref  isi  scopus
    4. 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
    5. V. B. Bekezhanova, O. N. Goncharova, “Analysis of characteristics of two-layer convective flows with diffusive type evaporation based on exact solutions”, Microgravity Sci. Technol., 32:2 (2020), 139–154  crossref  isi  scopus
    6. Sh. Ye, L. Zhang, Ch.-M. Wu, Y.-R. Li, Q.-Sh. Liu, “Experimental investigation of evaporation dynamic of sessile droplets in pure vapor environment with low pressures”, Int. J. Therm. Sci., 149 (2020), 106213  crossref  mathscinet  isi  scopus
    7. V. A. Demin, I M. Petukhov , V A. Shmyrov , I A. Shmyrova, “Nonlinear dynamics of the film of an insoluble surfactant during the relaxation to equilibrium”, Interfacial Phenom. Heat Transf., 8:3 (2020), 261–271  crossref  isi  scopus
    8. Ekaterina V. Rezanova, “Construction of exact solution describing three-layer flows with evaporation in a horizontal channel”, Zhurn. SFU. Ser. Matem. i fiz., 14:1 (2021), 57–68  mathnet  crossref
    9. Victoria B. Bekezhanova, Olga N. Goncharova, Ilya A. Shefer, “Solution of a two-layer flow problem with inhomogeneous evaporation at the thermocapillary interface”, Zhurn. SFU. Ser. Matem. i fiz., 14:4 (2021), 404–413  mathnet  crossref
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