Abstract
The paper considers the problem of a flow around a thin plate of infinite span. The frontal surface of the plate absorbs gas. For the calculations we use the mathematical flow model containing a combination of the Navier–Stokes–Fourier model and the model kinetic equation of polyatomic gases. The calculations are performed for a supersonic flow with a Mach number of 2.31 for a Knudsen number between of 0.1 and 0.001 and a plate surface absorption coefficient between 0 to 1. The obtained flow fields are compared to solutions of the model kinetic equation for polyatomic gases. The drag coefficient of the plate is compared to the published data. For all the considered flow parameters, there is a satisfactory agreement with the data from other works. It is shown that the derivatives of gas-dynamic parameters have no discontinuities in the matching region of the kinetic and hydrodynamic components of the model. The increase in the computational efficiency of the model is estimated with respect to the solutions of the model kinetic equations. We conclude that the considered kinetic-hydrodynamic model is suitable for describing highly nonequilibrium flows.
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Funding
The research was carried out within the state assignment of the Ministry of Science and Higher Education of the Russian Federation (theme FSFF-2020-0013).
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Translated by L. Trubitsyna
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Nikitchenko, Y.A., Tikhonovets, A.V. Testing the Kinetic-Hydrodynamic Model by Calculating the Flow Above an Absorbing Surface. Math Models Comput Simul 13, 426–436 (2021). https://doi.org/10.1134/S2070048221030121
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DOI: https://doi.org/10.1134/S2070048221030121