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.
The work was supported by Russian Foundation for Basic Research (project 17-08-00291).
Received: 22.05.2017 Received in revised form: 09.11.2017 Accepted: 20.01.2018
Bibliographic databases:
Document Type:
Article
UDC:512.54
Language: English
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
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This publication is cited in the following 20 articles:
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
Ekaterina V. Laskovets, “MODELING OF THREE-LAYER FLOWS WITH NON-UNIFORM EVAPORATION BASED ON THE EXACT SOLUTION OF CONVECTION EQUATIONS”, Interfac Phenom Heat Transfer, 12:2 (2024), 33
Ekaterina V. Laskovets, “Mathematical Modeling of Three-Layer Flows in a Horizontal Channel with Consideration of Inhomogeneous Evaporation”, Izvestiya AltGU, 2024, no. 1(135), 108
Marina V. Efimova, “Construction of an exact solution of special type for the 3D problem of thermosolutal convection in two layered system”, Zhurn. SFU. Ser. Matem. i fiz., 16:1 (2023), 26–34
Evgeniy E. Makarov, “Modelling of stationary flows of a liquid-gas system in an inclined channel subject to evaporation”, Zhurn. SFU. Ser. Matem. i fiz., 16:1 (2023), 110–120
E.V. Laskovets, “The Impact of Geometric Parameters on Three-Layer Flow Patterns in a Horizontal Channel: A Comprehensive Study”, Izvestiya AltGU, 2023, no. 1(129), 124
Irina V. Stepanova, “On thermodiffusion of binary mixture in a horizontal channel at inhomogeneous heating the walls”, Zhurn. SFU. Ser. Matem. i fiz., 15:6 (2022), 776–784
Ekaterina V. Laskovets, “MATHEMATICAL MODELING OF THREE-LAYER FLOWS IN THE “LIQUID-LIQUID-GAS” SYSTEM WITH EVAPORATION BASED ON EXACT SOLUTIONS”, Interfac Phenom Heat Transfer, 10:3 (2022), 45
O. N. Goncharova, V. B. Bekezhanova, “Comparative Characteristics of Evaporative Convection Regimes in Different Statements of Boundary Value Problem for Convection Equations”, J Math Sci, 267:4 (2022), 444
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
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
V. A. Demin, M. I. Petukhov, A. I. Shmyrova, “3D instability of a toroidal flow in the liquid partially covered by a solid film”, XXII Winter School on Continuous Media Mechanics (WSCMM 2021), Journal of Physics Conference Series, 1945, IOP Publishing Ltd, 2021, 012071
E V Laskovets, “Mathematical modeling of three-layer flows with evaporation based on exact solutions”, J. Phys.: Conf. Ser., 2119:1 (2021), 012049
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
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
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
V. A. Demin, M. I. Petukhov, A. V. Shmyrov, A. I. Shmyrova, “Nonlinear dynamics of the film of an insoluble surfactant during the relaxation to equilibrium”, Interfacial Phenom. Heat Transf., 8:3 (2020), 261–271
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
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
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
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