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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 12, Pages 2288–2295 (Mi zvmmf9594)  
This article is cited in 4 scientific papers (total in 4 papers)

Instability of the two-dimensional Poiseuille flow between elastic plates

I. V. Savenkov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
Full-text PDF (410 kB) Citations (4)
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Abstract: The pressure-driven Poiseuille flow of a viscous incompressible fluid between two parallel plates is considered. Within the framework of the triple-deck theory, the elasticity of the walls is shown to have a stabilizing effect on the flow.
Key words: Poiseuille flow, Tollmien–Schlichting waves, asymptotic expansions, triple-deck theory, elastic walls, boundary layer equations.
Received: 12.10.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 12, Pages 2155–2161
DOI: https://doi.org/10.1134/S0965542511120177
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: I. V. Savenkov, “Instability of the two-dimensional Poiseuille flow between elastic plates”, Zh. Vychisl. Mat. Mat. Fiz., 51:12 (2011), 2288–2295; Comput. Math. Math. Phys., 51:12 (2011), 2155–2161
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/zvmmf9594
  • https://www.mathnet.ru/eng/zvmmf/v51/i12/p2288
    • This publication is cited in the following 4 articles:
    1. N. V. Burmasheva, A. V. Dyachkova, E. Yu. Prosviryakov, “Neodnorodnoe techenie Puazeilya”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2022, no. 77, 68–85  mathnet  crossref  mathscinet
    2. I. V. Savenkov, “Influence of inertia of a compliant surface on viscous instability of an incompressible boundary layer”, Comput. Math. Math. Phys., 59:4 (2019), 667–675  mathnet  crossref  crossref  isi  elib
    3. I. V. Savenkov, “Absolute instability of incompressible boundary layer over a compliant plate”, Comput. Math. Math. Phys., 58:2 (2018), 264–273  mathnet  crossref  crossref  isi  elib
    4. I. V. Savenkov, “Three-dimensional instability of flow in a flat channel between elastic plates”, Comput. Math. Math. Phys., 52:10 (2012), 1445–1451  mathnet  crossref  mathscinet  zmath
    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:58
    First page:13
     
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