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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2020, Volume 20, Issue 1, Pages 64–78
DOI: https://doi.org/10.18500/1816-9791-2020-20-1-64-78
(Mi isu829)
 

This article is cited in 3 scientific papers (total in 3 papers)

Scientific Part
Mechanics

Thin film thermocapillary motion of binary alcohol-containing solution

N. Ivanova, K. A. Borodina

Tyumen State University, 10 Semakova St., Tyumen 625003, Russia
Full-text PDF (342 kB) Citations (3)
References:
Abstract: Interphase convection is a widespread phenomenon that occurs in various branches of technology, including chemical technologies. The greatest interest in the case of thin liquid films is the Marangoni convection. Phase transitions significantly affect the convective flow, changing the coefficient of surface tension. In this paper, the behavior of a thin film of an alcohol-containing solution when it is heated is analytically studied. The change in the temperature of the free surface together with the escape of the volatile component leads, as a rule, to two opposite effects with respect to the directionality of the surface tension gradient. It is shown that four time scales associated with the development of velocity, temperature and concentration fields, as well as the change in layer height, can be distinguished in the considered non-stationary problem of a film deformation. Depending on the initial thickness deformation of the film can both advance the development of the concentration field, and lag behind it. In the linear approximation formulas for the fields of the basic quantities, and also for the asymptotics of the film deformation process are obtained.
Key words: thermocapillary flow, Marangoni convection, deformation of a liquid film.
Received: 26.02.2019
Accepted: 05.05.2019
Bibliographic databases:
Document Type: Article
UDC: 532.5
Language: Russian
Citation: N. Ivanova, K. A. Borodina, “Thin film thermocapillary motion of binary alcohol-containing solution”, Izv. Saratov Univ. Math. Mech. Inform., 20:1 (2020), 64–78
Citation in format AMSBIB
\Bibitem{IvaBor20}
\by N.~Ivanova, K.~A.~Borodina
\paper Thin film thermocapillary motion of~binary alcohol-containing solution
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2020
\vol 20
\issue 1
\pages 64--78
\mathnet{http://mi.mathnet.ru/isu829}
\crossref{https://doi.org/10.18500/1816-9791-2020-20-1-64-78}
\elib{https://elibrary.ru/item.asp?id=42573921}
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  • https://www.mathnet.ru/eng/isu/v20/i1/p64
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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    Full-text PDF :42
    References:26
     
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