Abstract
The problem of flow over a thin plate of infinite magnitude installed across the flow is considered. The frontal surface of the plate absorbs gas. For calculations, we used a mathematical flow model containing a combination of the Navier-Stokes-Fourier model and the model kinetic equation of polyatomic gases. The features of the mathematical implementation of the combined model are described. The calculations were performed for a supersonic flow with a Mach number of 2.31 for a Knudsen number of 0.1…0.001 and a plate surface absorption coefficient from 0 to 1. The obtained flow fields were compared with solutions of the model kinetic equation of polyatomic gases. The drag coefficient of the plate was compared with known experimental data. For all considered flow parameters, a satisfactory agreement with the known data is obtained. It is shown that there are no gaps in the derivatives of gas-dynamic parameters in the joining region of the kinetic and hydrodynamic components of the model. The increase in the computational efficiency of the model with respect to the solutions of model kinetic equations is estimated. The conclusion is drawn on the suitability of the considered kinetic-hydrodynamic model for describing highly nonequilibrium flows.
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References
Salbreux, G., Jülicher, F.: Mechanics of active surfaces. Phys. Rev. E 96, 032404 (2017)
Rioux, R.W.: The rate of fluid absorption in porous media. Electronic Theses and Dissertations, 234 (2003)
Nikitchenko, J.A., Popov, S.A., Tikhonovets, A.V.: Composed kinetic-hydrodynamic model of polyatomic gas flow. Matem. Modelirovanie 31(2), 18–32 (2019)
Nikitchenko, Y., Popov, S., Tikhonovets, A.: Special aspects of hybrid kinetic-hydrodynamic model when describing the shape of shockwaves. In: Rodrigues, J., et al. (eds.) Computational Science—ICCS 2019. Lecture Notes in Computer Science, vol. 11539. Springer, Cham (2019)
Glinkina, V.S., Nikitchenko, Y.A., Popov, S.A., Ryzhov, Y.A.: Drag coefficient of an absorbing plate set transverse to a flow. Fluid Dyn. 51(6), 791–798 (2016)
Bondarev, E.N., Dubasov, V.T., Ryzhov, J.A., Svirshhevskij, S.B., Semenchikov, N.V.: Ajerogidromehanika. M. Mashinostroenie 608 s (1993)
Nikitchenko, Y.A.: Model kinetic equation for polyatomic gases. Comput. Math. Math. Phys. 57(11), 1843–1855 (2017)
Thompson, M.J.:. An Introduction to Astrophysical Fluid Dynamics. Imperial College Press, London (2006)
Rovenskaya, O.I., Croce, G.: Numerical simulation of gas flow in rough micro channels: hybrid kinetic–continuum approach versus Navier–Stokes. Microfluid. Nanofluid. 20, 81 (2016)
Berezko, M.E., Nikitchenko, Y.A., Tikhonovets, A.V.: Joint of kinetic and hydrodynamic models by the example of the Couette flow. Tr. MAI, No. 94 (2017). http://trudymai.ru/published.php?ID=80922
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Nikitchenko, Y., Popov, S., Tikhonovets, A. (2021). Active Surface Calculation Method Using Kinetic-Hydrodynamic Model. In: Yang, XS., Sherratt, S., Dey, N., Joshi, A. (eds) Proceedings of Fifth International Congress on Information and Communication Technology. Advances in Intelligent Systems and Computing, vol 1184. Springer, Singapore. https://doi.org/10.1007/978-981-15-5859-7_23
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DOI: https://doi.org/10.1007/978-981-15-5859-7_23
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