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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2016, Volume 57, Issue 1, Pages 216–223
DOI: https://doi.org/10.15372/PMTF20160121 (Mi pmtf892) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Advective flow in a rotating liquid film

S. N. Aristova, K. G. Schwarzb

a Institute of Continuous Media Mechanics, Ural Branch, Russian Academy of Sciences, Perm, 614013, Russia
b Russian Presidential Academy of National Economy and Public Administration, Moscow, 119571, Russia
Full-text PDF (218 kB) Citations (11)
DOI: https://doi.org/10.15372/PMTF20160121
Abstract: This paper presents a new accurate solution of the Navier–Stokes equations in the Boussinesq approximation that describes the thermocapillary advective flow in a slowly rotating horizontal layer of incompressible liquid with free boundaries. Such a flow emerges in the case of linear temperature distribution over horizontal coordinates or in the case of heat flux distribution on the layer boundaries. The influence of the Taylor, Marangoni, Grashof, and Biot numbers on the flow and temperature velocity profiles is studied.
Keywords: thermocapillary advection, rotation, accurate solution.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-96001 р урал а
Received: 07.10.2013
Revised: 22.10.2014
English version:
Journal of Applied Mechanics and Technical Physics, 2016, Volume 57, Issue 1, Pages 188–194
DOI: https://doi.org/10.1134/S0021894416010211
Bibliographic databases:
Document Type: Article
UDC: 517.941.1; 532.529.5
Language: Russian
Citation: S. N. Aristov, K. G. Schwarz, “Advective flow in a rotating liquid film”, Prikl. Mekh. Tekh. Fiz., 57:1 (2016), 216–223; J. Appl. Mech. Tech. Phys., 57:1 (2016), 188–194
Citation in format AMSBIB
\Bibitem{AriSch16}
\by S.~N.~Aristov, K.~G.~Schwarz
\paper Advective flow in a rotating liquid film
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2016
\vol 57
\issue 1
\pages 216--223
\mathnet{http://mi.mathnet.ru/pmtf892}
\crossref{https://doi.org/10.15372/PMTF20160121}
\elib{https://elibrary.ru/item.asp?id=25751258}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2016
\vol 57
\issue 1
\pages 188--194
\crossref{https://doi.org/10.1134/S0021894416010211}
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  • https://www.mathnet.ru/eng/pmtf/v57/i1/p216
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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