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Solution of Falkner—Skan Equations for Hypersonic Flows

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Abstract

The results of the solution of the Falkner—Skan equation for compressible flows \(f{\kern 1pt} ''' + ff{\kern 1pt} '' + \beta (g - f{{'}^{2}}) = 0\) are obtained for the first time, in addition to those obtained by Hartree and Stewartson. The dependence of the viscous stress \(f_{w}^{{''}}\) at the wall and the temperature gradient \(g_{w}^{'}\) on the parameter \(\beta \) is determined for different values of the temperature factor gw.

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Funding

The work was supported by the Ministry of Science and Higher Education of Russian Federation, project no. 14.G39.31.0001 and the Russian Foundation for Basic Research, project 17-01-00129a.

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Authors and Affiliations

  1. Moscow Institute of Sciences and Technology, 141701, Dolgoprudny, Russia

    I. I. Lipatov & K. T. Ngo

  2. Zhukovsky Central Aerohydrodynamic Institute (TsAGI), 140180, Zhukovsky, Russia

    I. I. Lipatov

Authors
  1. I. I. Lipatov
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  2. K. T. Ngo
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Correspondence to I. I. Lipatov.

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The Author declares no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

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Translated by M. Lebedev

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Lipatov, I.I., Ngo, K.T. Solution of Falkner—Skan Equations for Hypersonic Flows. Fluid Dyn 55, 525–533 (2020). https://doi.org/10.1134/S0015462820040072

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  • DOI: https://doi.org/10.1134/S0015462820040072

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