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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 1, Pages 127–145 (Mi zvmmf199)  
This article is cited in 4 scientific papers (total in 4 papers)

Asymptotic theory of perturbations inducing a pressure gradient in a transonic flat-plate boundary layer

K. V. Guzaeva, V. I. Zhuk

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
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Abstract: The role of asymptotic approaches to the study of viscous-inviscid interaction mechanisms in transonic outer flows is discussed. It is noted that there are several versions of multideck asymptotic constructions describing the self-induced pressure effect in transonic boundary layers. The asymptotic theory is used to uncover the internal structure of fluctuation fields, to treat instability-generating processes, and to analyze the behavioral features of linear and nonlinear wave fluctuations. Additionally, the properties of the eigenspectrum are described.
Key words: viscous-inviscid interaction, boundary layer, transonic flow, Lin–Reissner–Tsien equation, integrodifferential equation, nonlinear wave, stability, dispersion relation, Airy function, Tollmien–Schlichting wave, eigenspectrum.
Received: 04.04.2007
Revised: 12.07.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 1, Pages 121–138
DOI: https://doi.org/10.1007/s11470-008-1009-3
Bibliographic databases:
Document Type: Article
UDC: 519.624.3
Language: Russian
Citation: K. V. Guzaeva, V. I. Zhuk, “Asymptotic theory of perturbations inducing a pressure gradient in a transonic flat-plate boundary layer”, Zh. Vychisl. Mat. Mat. Fiz., 48:1 (2008), 127–145; Comput. Math. Math. Phys., 48:1 (2008), 121–138
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
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