Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 2, Pages 40–46 (Mi vmumm672)  
This article is cited in 4 scientific papers (total in 4 papers)

Mechanics

Stability of the lateral surface of viscous fingers formed when a fluid is displaced from a Hele-Shaw cell

O. A. Logvinov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (292 kB) Citations (4)
Abstract: It is shown that instability develops on the lateral surface of the viscous fingers formed when a fluid is displaced from a Hele–Shaw cell. This instability is caused by the inertia forces. On the contrary, the viscous forces acting in the plane of the cell stabilize the surface.
Key words: Hele–Shaw cell, viscous fingers.
Funding agency Grant number
Russian Foundation for Basic Research 08-08-00222-а
Received: 05.11.2008
English version:
Moscow University Mechanics Bulletin, 2011, Volume 66, Issue 2, Pages 25–31
DOI: https://doi.org/10.3103/S0027133011020014
Bibliographic databases:
Document Type: Article
UDC: 532.517.532.546
Language: Russian
Citation: O. A. Logvinov, “Stability of the lateral surface of viscous fingers formed when a fluid is displaced from a Hele-Shaw cell”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 2, 40–46; Moscow University Mechanics Bulletin, 66:2 (2011), 25–31
Citation in format AMSBIB
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\by O.~A.~Logvinov
\paper Stability of the lateral surface of viscous fingers formed when a fluid is displaced from a Hele-Shaw cell
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2011
\issue 2
\pages 40--46
\mathnet{http://mi.mathnet.ru/vmumm672}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2882193}
\zmath{https://zbmath.org/?q=an:06774411}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2011
\vol 66
\issue 2
\pages 25--31
\crossref{https://doi.org/10.3103/S0027133011020014}
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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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