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A Kinetic Shock Layer in the Spreading Plane of a Lifting-Body Apparatus

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Abstract

In this paper, we propose an effective computational mathematical interpretation of the problem of the nonequilibrium flow of a polyatomic gas in a kinetic thin viscous shock layer near a blunt body in the plane of its symmetry. The correlation of flows in the kinetic and Navier–Stokes thin viscous shock layer on the frontal spreading line, which allows constructing the solution of the kinetic problem based entirely on the Navier–Stokes equations, is indicated. Using the proposed approach, heat transfer on the wall along the entire spreading line of a model of an aerospace aircraft of lifting-body type was numerically studied. The calculation results are compared with the data of the tunnel experiment.

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REFERENCES

  1. Kuznetsov, M.M. and Nikolsky, V.S., Kinetic analysis of hypersonic viscous flows of a polyatomic gas in a thin three-dimensional shock layer, Uch. Zap. Tsentr. Aerogidrodin. Inst. im. Professora N. E. Zhukovskogo, 1985, vol. 16, no. 3, pp. 38–49.

    Google Scholar 

  2. Cheng, H.K., Wong, E.Y., and Dogra, V.K., A shock-layer theory based on thirteen-moment equations and dsmc calculations of rarefied hypersonic flows, Proc. 29th Aerospace Sciences Meeting, Reno, NV, Jan. 7–10, 1991, AIAA Pap. no. 91-0783.

  3. Nikol’skii, V.S., Kinetic model of hypersonic rarefied gas flows, Mat. Model., 1996, vol. 8, no. 12, pp. 29–46.

    MathSciNet  MATH  Google Scholar 

  4. Kuznetsov, M.M., Lipatov, I.I., and Nikolskii, V.S., Rheology of rarefied gas flow in hypersonic shock and boundary layers, Fluid Dyn., 2007, vol. 42, no. 5, pp. 851–857.

    Article  ADS  Google Scholar 

  5. Cheng, H.K., The viscous shock layer problem revisited, Proc. Int. Conf. Research in Hypersonic Flows and Hypersonic Technologies, Zhukovskii, Sept. 19–21, 1994.

  6. Cheng, H.K. and Emanuel, G., Perspective on hypersonic nonequilibrium flow, AIAA J., 1995, vol. 33, no. 3, pp. 385–400.

    Article  ADS  Google Scholar 

  7. Brykina, I.G., Asymptotic solutions of the thin viscous shock layer equations near the symmetry plane of blunt bodies in hypersonic rarefied gas flow, Fluid Dyn., 2011, vol. 46, no. 3, pp. 444–455.

    Article  ADS  MathSciNet  Google Scholar 

  8. Brykina, I.G., Rogov, B.V., Tirskiy, G.A., and Utyuzhikov, S.V., The effect of surface curvature on the boundary conditions in the viscous shock layer model for hypersonic rarefied gas flow, J. Appl. Math. Mech., 2012, vol. 76, no. 6, pp. 677–687.

    Article  MathSciNet  Google Scholar 

  9. Brykina, I.G., Rogov, B.V., Tirskiy, G.A., Titarev, V.A., and Utyuzhnikov, S.V., A comparative analysis of approaches for investigating hypersonic flow over blunt bodies in a transitional regime, J. Appl. Math. Mech., 2013, vol. 77, no. 1, pp. 9–16.

    Article  Google Scholar 

  10. Brykina, I.G., Asymptotic investigation of heat transfer and skin friction in three-dimensional hypersonic rarefied gas flows, J. Appl. Math. Mech., 2016, vol. 80, no. 3, pp. 244–256.

    Article  MathSciNet  Google Scholar 

  11. Noori, S., Ghasemloo, S., and Mani, M., Viscous shock layer around slender bodies with nonequilibrium air chemistry, Iran. J. Sci. Technol. Trans. Mech. Eng. Shiraz Univ., 2017, vol. 41, pp. 251–264.

    Article  Google Scholar 

  12. Brykina, I.G., Approximate analytical solutions for heat fluxes in three-dimensional hypersonic flow over blunt bodies, Fluid Dyn., 2017, vol. 52, no. 4, pp. 572–586.

    Article  ADS  MathSciNet  Google Scholar 

  13. Ankudinov, A.L., On one difference scheme for calculating a viscous shock layer, Tr. Tsentr. Aerogidrodin. Inst. im. Professora N. E. Zhukovskogo, 1981, no. 2107, pp. 154–160.

  14. Ankudinov, A.L., Thin viscous shock layer taking into account the effects of rarefaction of the gas, Uch. Zap. Tsentr. Aerogidrodin. Inst. im. Professora N. E. Zhukovskogo, 2007, vol. 38, nos. 3–4, pp. 88–93.

    Google Scholar 

  15. Brazhko, V.N., Kovaleva, N.A., and Maykapar, G.I., On the method of measuring heat flux using thermal indicator coatings, Uch. Zap. Tsentr. Aerogidrodin. Inst. im. Professora N. E. Zhukovskogo, 1989, vol. 20, no. 1, pp. 1–12.

    Google Scholar 

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Funding

This work was supported by the Russian Foundation for Basic Research, project no. 20-08-00790A.

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  1. Central Aerohydrodynamic Institute, 140181, Zhukovskiy, Moscow oblast, Russia

    A. L. Ankudinov

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  1. A. L. Ankudinov
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Correspondence to A. L. Ankudinov.

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Translated by A. Ivanov

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Ankudinov, A.L. A Kinetic Shock Layer in the Spreading Plane of a Lifting-Body Apparatus. Fluid Dyn 56, 967–974 (2021). https://doi.org/10.1134/S0015462821070028

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  • DOI: https://doi.org/10.1134/S0015462821070028

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