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Investigation of a Compressible Laminar Boundary Layer on a Permeable Plate with Uniform Injection for Gas Prandtl Numbers Pr = 0.1…1.0

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Abstract

A compressible laminar boundary layer on a permeable plate with uniform injection is studied numerically for the gas Prandtl numbers Pr = 0.1…1.0. Regimes in which the injected-gas temperature is lower than that of the adiabatic impermeable wall are considered. For a number of stagnation temperatures, the existence of a minimum in the temperature of the permeable wall is confirmed, the value of the minimum being lower than the injected-gas temperature. The critical temperature of the adiabatic permeable wall is introduced for the case when the lowest temperature is displaced closer to the critical injection section with a decrease in the injected-gas temperature and then finally coincides with it. The dependence of the criterion previously obtained on the Prandtl and Mach numbers and the stagnation temperature is specified, which makes it possible to estimate the temperature range of the injected gas at which the lowest temperature of the permeable wall is possible.

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Funding

This work was supported by the Russian Science Foundation, project no. 19-19-00234.

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Authors and Affiliations

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

    A. I. Leontiev, V. G. Lushchik & M. S. Makarova

  2. Bauman Moscow State Technical University, 105005, Moscow, Russia

    A. I. Leontiev

Authors
  1. A. I. Leontiev
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  2. V. G. Lushchik
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  3. M. S. Makarova
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Correspondence to A. I. Leontiev, V. G. Lushchik or M. S. Makarova.

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Translated by V. Bukhanov

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Leontiev, A.I., Lushchik, V.G. & Makarova, M.S. Investigation of a Compressible Laminar Boundary Layer on a Permeable Plate with Uniform Injection for Gas Prandtl Numbers Pr = 0.1…1.0. Dokl. Phys. 67, 27–31 (2022). https://doi.org/10.1134/S1028335822010049

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  • DOI: https://doi.org/10.1134/S1028335822010049

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