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

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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. Kolegov^ab, A. I. Lobanov^cdbe

^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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https://www.mathnet.ru/eng/crm531

https://www.mathnet.ru/eng/crm/v4/i4/p811

This publication is cited in the following 4 articles:

K. S. Kolegov, A. I. Lobanov, “Chislennoe issledovanie massoperenosa v kapelno-plenochnykh sistemakh s ispolzovaniem regulyarizovannoi raznostnoi skhemy v isparitelnoi litografii”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 22:2 (2018), 344–363
G. E. Skvortsov, E. N. Perevoznikov, “Teoriya neustoichivosti i kriterii khaosa”, Mezhdunar. nauch.-issled. zhurn., 2016, no. 7-4(49), 98–101
K. S. Kolegov, “Sravnenie kvazistatsionarnoi i nestatsionarnoi matematicheskikh modelei techenii v isparyayuscheisya kaple s uchetom vyazkosti”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2014, no. 3, 110–122
K. S. Kolegov, “Formirovanie koltsevykh struktur v vysykhayuschei pod shablonom plenke kolloidnogo rastvora”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 7:1 (2014), 24–33

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	46

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