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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 9, Pages 1570–1578
DOI: https://doi.org/10.7868/S004446691709006X
(Mi zvmmf10619)
 

This article is cited in 4 scientific papers (total in 4 papers)

On contact instabilities of viscoplastic fluids in two-dimensional setting

A. N. Doludenko

Institute of Thermophysical Extremal States, Joint Institute of High Temperatures, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (692 kB) Citations (4)
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Abstract: The Richtmyer–Meshkov and Rayleigh–Taylor instabilities in viscoplastic (Bingham) fluids are studied in two-dimensional setting. The evolution of the Richtmyer–Meshkov instability in a Bingham fluid is analyzed as compared with its evolution in a Newtonian fluid. The critical amplitude of the initial perturbation in the velocity field is estimated. Numerical results obtained for Richtmyer–Meshkov and Rayleigh–Taylor instabilities in a Bingham fluid are presented and compared with those obtained for a Newtonian fluid.
Key words: Rayleigh–Taylor instability, Richtmyer–Meshkov instability, non-Newtonian fluid, Bingham fluid, numerical simulation.
Funding agency Grant number
Russian Science Foundation 14-50-00124
Received: 13.06.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 9, Pages 1550–1557
DOI: https://doi.org/10.1134/S0965542517090068
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. N. Doludenko, “On contact instabilities of viscoplastic fluids in two-dimensional setting”, Zh. Vychisl. Mat. Mat. Fiz., 57:9 (2017), 1570–1578; Comput. Math. Math. Phys., 57:9 (2017), 1550–1557
Citation in format AMSBIB
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:39
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