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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2020, Volume 61, Issue 4, Pages 39–45
DOI: https://doi.org/10.15372/PMTF20200405 (Mi pmtf293) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Viscous interaction forces of two pulsating spheres in a fluid near their contact point

Sh. V. Sandulyanuab

a Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, 119526, Moscow, Russia
b Moscow Institute of Physics and Technology, 141701, Dolgoprudny, Russia
Full-text PDF (219 kB) Citations (1)
DOI: https://doi.org/10.15372/PMTF20200405
Abstract: We consider the interaction between two spherical bubbles of variable radii during their movement along their centerline in a viscous fluid. A stream function that satisfies the Stokes equation is found in bispherical coordinates as an expansion in Gegenbauer polynomials. Viscous forces that act on the sphere are exactly presented as infinite series. Asymptotic expressions of these forces near the bubble contact zone are derived.
Keywords: viscous interaction of bubbles, Stokes stream function, axial symmetry.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation AAAA-A20-120011690138-6
Received: 20.01.2020
Revised: 20.01.2020
Accepted: 02.03.2020
English version:
Journal of Applied Mechanics and Technical Physics, 2020, Volume 61, Issue 4, Pages 532–538
DOI: https://doi.org/10.1134/S0021894420040057
Bibliographic databases:
Document Type: Article
UDC: 532.529.6
Language: Russian
Citation: Sh. V. Sandulyanu, “Viscous interaction forces of two pulsating spheres in a fluid near their contact point”, Prikl. Mekh. Tekh. Fiz., 61:4 (2020), 39–45; J. Appl. Mech. Tech. Phys., 61:4 (2020), 532–538
Citation in format AMSBIB
\Bibitem{San20}
\by Sh.~V.~Sandulyanu
\paper Viscous interaction forces of two pulsating spheres in a fluid near their contact point
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2020
\vol 61
\issue 4
\pages 39--45
\mathnet{http://mi.mathnet.ru/pmtf293}
\crossref{https://doi.org/10.15372/PMTF20200405}
\elib{https://elibrary.ru/item.asp?id=43801335}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2020
\vol 61
\issue 4
\pages 532--538
\crossref{https://doi.org/10.1134/S0021894420040057}
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  • https://www.mathnet.ru/eng/pmtf/v61/i4/p39
    • This publication is cited in the following 1 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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