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Numerical simulation of the development of Görtler vortices in compressible boundary layer on a concave surface

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Thermophysics and Aeromechanics Aims and scope

Abstract

The generation and development of Görtler vortices in compressible boundary layer on a concave surface has been numerically simulated. The calculation was carried out using the Ansys Fluent software. Stationary and non-stationary disturbances are analyzed at freestream Mach number M ≈ 4. It is shown that when a periodic disturbance in the direction transversal to the flow is generated, it decays on the straight section of the surface, and grows on the concave surface. Comparison of the results of the calculations made with the calculations performed within the framework of the linear stability theory showed that the range of receptivity of the boundary layer to the disturbances on the concave surface amounts approximately to 17 boundary-layer thicknesses. After the receptivity zone, disturbances grow exponentially with small deviations. The flow fluctuation profiles are in good agreement with the data obtained from the linear stability theory. It is shown that the development of a non-stationary disturbance along the surface of the model for the parameters considered in the present study differs little from that of a stationary disturbance.

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Authors and Affiliations

  1. Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Novosibirsk, Russia

    T. A. Gimon, V. A. Kislovskii, S. V. Lukashevich, S. O. Morozov, M. S. Nikolaev & A. N. Shiplyuk

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  1. T. A. Gimon
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  2. V. A. Kislovskii
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  3. S. V. Lukashevich
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  4. S. O. Morozov
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  5. M. S. Nikolaev
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  6. A. N. Shiplyuk
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Corresponding author

Correspondence to S. O. Morozov.

Additional information

This study was supported by the Russian Science Foundation (Grant No. 21-19-00393).

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Gimon, T.A., Kislovskii, V.A., Lukashevich, S.V. et al. Numerical simulation of the development of Görtler vortices in compressible boundary layer on a concave surface. Thermophys. Aeromech. 30, 13–18 (2023). https://doi.org/10.1134/S086986432301002X

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  • DOI: https://doi.org/10.1134/S086986432301002X

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