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Article information
2020 , Volume 25, ą 2, p.50-62
Grigoryev Y.N., Gorobchuk A.G., Ershov I.V.
Calculations of supersonic boundary layer in the full and locally self-similar formulations
The article considers the possibility of using locally self-similar solutions of a stationary boundary layer in linear stability problems. These solutions are compared with various boundary conditions for a vibrationally excited gas with finite-difference calculations of the corresponding flows. The initial system of equations for a plane boundary layer of a vibrationally excited gas was obtained from the complete equations of two-temperature relaxation aerodynamics. The relaxation of vibrational modes of gas molecules is described in the framework of the Landau—Teller equation. Transfer coefficients depend on the static flow temperature. It is shown that in all considered cases the convergence of profiles of hydrodynamic variables to some limit values takes place for the longitudinal coordinate 𝑥 ≥ 8—15. In parallel, the same flows were calculated using the full formulation based on the finite-difference Krank—Nicholson type scheme. It is shown that for all considered boundary and initial conditions the limiting locally self-similar profiles coincide with the profiles calculated within the full formulation. The obtained result substantiates the use of locally self-similar solutions in problems of the linear theory of stability of boundary layer flows of vibrationally excited gas.
[full text]
Keywords: boundary layer, vibrationally excited gas, locally self-similar solutions, finite-difference calculations
doi: 10.25743/ICT.2020.25.2.005
Author(s):
Grigoryev Yurii Nikolaevich
Dr. , Professor
Position: General Scientist
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave., 6
Phone Office: (383) 330 87 45
E-mail: grigor@ict.nsc.ru
Gorobchuk Aleksey Gennadievich
Dr.
Position: Senior Research Scientist
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, Ac. Lavreniev ave., 6
Phone Office: (383) 330-87-45
E-mail: al@ict.nsc.ru
SPIN-code: 2930-1281Ershov Igor Valerievich
Dr. , Professor
Position: Professor
Office: Novosibirsk State Agrarian University
Address: 630039, Russia, Novosibirsk, Dobrolyubova, 160
Phone Office: (383) 349-13-95
E-mail: ivershov1969@gmail.com
SPIN-code: 5245-8688 References:
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Bibliography link:
Grigoryev Y.N., Gorobchuk A.G., Ershov I.V. Calculations of supersonic boundary layer in the full and locally self-similar formulations // Computational technologies. 2020. V. 25. ą 2. P. 50-62
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