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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 8, Pages 1471–1480 (Mi zvmmf4924)  

This article is cited in 3 scientific papers (total in 3 papers)

Features of the linear stage of the development of three-dimensional perturbations in the plane Poiseuille–Couette flow

I. V. Savenkov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
Full-text PDF (649 kB) Citations (3)
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Abstract: Within the framework of the triple-deck theory, the linear stage of the development of three-dimensional disturbances in the Poiseuille–Couette flow was investigated. Numerical computations revealed “ripples” developing in the side direction in the initial phase of the linear stage. As in the case of two-dimensional disturbances, an increase in the relative velocity of the walls leads to the splitting of disturbances into two wave packets, of which the first grows faster and moves at a higher velocity. The disturbances propagate within a certain angle range.
Key words: plane Poiseuille–Couette flow, Tollmien–Schlichting waves, three-dimensional disturbances, wave packets, asymptotic expansions, triple-deck theory, Navier–Stokes equations.
Received: 13.10.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 8, Pages 1399–1408
DOI: https://doi.org/10.1134/S0965542510080105
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: I. V. Savenkov, “Features of the linear stage of the development of three-dimensional perturbations in the plane Poiseuille–Couette flow”, Zh. Vychisl. Mat. Mat. Fiz., 50:8 (2010), 1471–1480; Comput. Math. Math. Phys., 50:8 (2010), 1399–1408
Citation in format AMSBIB
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  • This publication is cited in the following 3 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:36
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