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Computer Research and Modeling, 2012, Volume 4, Issue 4, Pages 811–825
DOI: https://doi.org/10.20537/2076-7633-2012-4-4-811-825 (Mi crm531) 		 
This article is cited in 4 scientific papers (total in 4 papers)

MODELS IN PHYSICS AND TECHNOLOGY

Comparing of a quasi-steady and non-steady mathematical models of fluid flow in evaporating drop

K. S. Kolegovab, A. I. Lobanovcdbe

a Astrakhan Branch of the Volga State Academy of Water Transpo rt, 6/14 Nikolskaya street, Astrakhan, 414000, Russia
b Astrakhan State University, 20a Tatisheva street, Astrakhan, 414056, Russia
c Moscow State Academy of Water Transport, 2 Novodanilovskay a Naberezhnaya street, Moscow, 117105, Russia
d Moscow Physics Technical Institute (State University), 9, Instituckii pereulok, Dolgoprudnii, Moscow State, 141700, Russia
e Kabardino-Balkarian State University, 173, Chernishevskyi street, Kabardino-Balkarian republic, 360004,Russia
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DOI: https://doi.org/10.20537/2076-7633-2012-4-4-811-825
Abstract: The work aims to study the admissibility of the quasi-steady approach application in fluid flow modeling inside of evaporating drops placed on a solid horizontal substrate. Non-steady model has been developed to compare results with a quasi-steady model. For the first time one-dimensional motion equation of fluid in a drop is proposed from a momentum conservation law. We have shown that inward flow is possible on the edge of drop in one-dimensional models. It may be explained by existence of stagnation points.
Keywords: evaporating drop, one-dimensional motion equation, non-steady-state model.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.588.2011
Received: 26.10.2012
Revised: 30.11.2012
Document Type: Article
UDC: 519.8
Language: Russian
Citation: K. S. Kolegov, A. I. Lobanov, “Comparing of a quasi-steady and non-steady mathematical models of fluid flow in evaporating drop”, Computer Research and Modeling, 4:4 (2012), 811–825
Citation in format AMSBIB
\Bibitem{KolLob12}
\by K.~S.~Kolegov, A.~I.~Lobanov
\paper Comparing of a quasi-steady and non-steady mathematical models of fluid flow in evaporating drop
\jour Computer Research and Modeling
\yr 2012
\vol 4
\issue 4
\pages 811--825
\mathnet{http://mi.mathnet.ru/crm531}
\crossref{https://doi.org/10.20537/2076-7633-2012-4-4-811-825}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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