Abstract:
New non-standard problem of thermocapillary convection is studied to analyze the flows arising in a two-layer system under action of an intense thermal exposure on the free boundary by a laser beam. Characteristics of the physical experiments are presented. Parameters of the experiments are the ratio of the liquid layer thicknesses, the types of working liquids, the absorption coefficients of media. Special attention is given to the study of the influence of the system geometry when changing the thickness for one of the liquid layers. Theoretical study of the thermocapillary convection includes development of the mathematical model tested on the basis of new physical experiment data and of the effective numerical algorithm to calculate basic characteristics. The occurrence of the decaying oscillations, which first experimentally discovered by the authors, and the evolution of the interfaces and layers are investigated. The results of numerical study of structure and nature of convective flows in the horizontal two-layer liquid – liquid systems of the type "silicone oil – glycerin", and comparison of the experimental and theoretical data allow one to validate the developed mathematical model, to analyze the peculiarities of heat and mass transfer in the two-layer system induced by the action of a local heat source at the free boundary.
This work was supported by the Russian Foundation for Basic Research (project no. 17-08-00291).
Received: 02.04.2019 Received in revised form: 03.05.2019 Accepted: 11.06.2019
Bibliographic databases:
Document Type:
Article
UDC:
532.612.4
Language: English
Citation:
Victoria B. Bekezhanova, Olga N. Goncharova, Natalia A. Ivanova, Denis S. Klyuev, “Instability of a two-layer system with deformable interfaces under laser beam heating”, J. Sib. Fed. Univ. Math. Phys., 12:5 (2019), 543–550
\Bibitem{BekGonIva19}
\by Victoria~B.~Bekezhanova, Olga~N.~Goncharova, Natalia~A.~Ivanova, Denis~S.~Klyuev
\paper Instability of a two-layer system with deformable interfaces under laser beam heating
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2019
\vol 12
\issue 5
\pages 543--550
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\crossref{https://doi.org/10.17516/1997-1397-2019-12-5-543-550}
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Linking options:
https://www.mathnet.ru/eng/jsfu789
https://www.mathnet.ru/eng/jsfu/v12/i5/p543
This publication is cited in the following 7 articles:
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
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
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
Natalia Ivanova, “Interfacial Flows and Interfacial Shape Modulation Controlled by the Thermal Action of Light Energy”, Colloids and Interfaces, 6:2 (2022), 31
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
E V Laskovets, “Mathematical modeling of three-layer flows with evaporation based on exact solutions”, J. Phys.: Conf. Ser., 2119:1 (2021), 012049
Bekezhanova V.B., Andreev V.K., Shefer I.A., “Influence of Heat Defect on the Characteristics of a Two-Layer Flow With the Hiemenz-Type Velocity”, Interfacial Phenom. Heat Transf., 7:4 (2019), 345–364
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