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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2008 Volume 48, Number 1, Pages 127–145 (Mi zvmmf199)

This article is cited 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

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.

UDC: 519.624.3

Received: 04.04.2007
Revised: 12.07.2007


 English version:
Computational Mathematics and Mathematical Physics, 2008, 48:1, 121–138

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