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Asymptotics of dispersion curves in time-dependent problems of free viscous–inviscid interaction at transonic speeds

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Abstract

New high-frequency asymptotics of the dispersion relation have been obtained when analyzing the stability of a transonic boundary layer with self-induced pressure. It is shown that the dependence of the perturbation frequency on the wave number (except for the range of small wave numbers), which was previously considered unambiguous, is an exceptional case.

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Authors and Affiliations

  1. Institute of Mechanics, Moscow State University, Moscow, 119192, Russia

    A. N. Bogdanov

  2. Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow oblast, 141700, Russia

    V. N. Diyesperov

  3. Dorodnitsyn Computing Centre, Russian Academy of Sciences, Moscow, 119333, Russia

    V. I. Zhuk

Authors
  1. A. N. Bogdanov
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  2. V. N. Diyesperov
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  3. V. I. Zhuk
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Corresponding author

Correspondence to A. N. Bogdanov.

Additional information

Original Russian Text © A.N. Bogdanov, V.N. Diyesperov, V.I. Zhuk, 2017, published in Doklady Akademii Nauk, 2017, Vol. 475, No. 2, pp. 150–153.

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Bogdanov, A.N., Diyesperov, V.N. & Zhuk, V.I. Asymptotics of dispersion curves in time-dependent problems of free viscous–inviscid interaction at transonic speeds. Dokl. Phys. 62, 350–352 (2017). https://doi.org/10.1134/S1028335817070047

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  • DOI: https://doi.org/10.1134/S1028335817070047

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