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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 10, Pages 1739–1745
DOI: https://doi.org/10.7868/S004446691310013X (Mi zvmmf9936) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Axisymmetric instability of pressure-driven flow in an annular channel at high Reynolds numbers

I. V. Savenkov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
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DOI: https://doi.org/10.7868/S004446691310013X
Abstract: For the pressure-driven flow in an annular channel, its linear instability with respect to axisymmetric perturbations at high Reynolds numbers is investigated within the framework of the triple-deck theory. It is shown that the problem is reduced to that of the two-dimensional linear instability of the Poiseuille flow in a plane channel. The ratio of the inner to outer radii of the channel is found at which the instability is minimal.
Key words: annular channel flow, instability, Tollmien–Schlichting waves, axisymmetric perturbations, wave packets, asymptotic expansions, triple-deck theory, Navier–Stokes equations.
Received: 18.02.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 10, Pages 1551–1557
DOI: https://doi.org/10.1134/S0965542513100126
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: I. V. Savenkov, “Axisymmetric instability of pressure-driven flow in an annular channel at high Reynolds numbers”, Zh. Vychisl. Mat. Mat. Fiz., 53:10 (2013), 1739–1745; Comput. Math. Math. Phys., 53:10 (2013), 1551–1557
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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