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Second approximation in the problem of the strong viscous interaction on slender three-dimensional bodies

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Abstract

We consider the hypersonic flow of a perfect gas past a slender three-dimensional body in a regime of strong viscous interaction. We give equations which make it possible to reduce the problem of determining the aerodynamic characteristics of a body which is not axisymmetric to the problem of computing the flow past an equivalent body of rotation at zero angle of incidence. The second approximation for the heat transfer and drag coefficients is found by the method of external and internal combinations of asymptotic expansions. The region in which this method can be applied and the accuracy of the asymptotic theory are estimated by comparison with exact numerical computations.

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Literature cited

  1. M. D. Ladyzhenskii, “Hypersonic viscous flow past slender bodies,” Prikl. Matem. i Mekhan.,27, No. 5 (1963).

  2. R. Vaglio-Laurin and M. J. Koffert, “Viscous hypersonic flow past a slinder cone at incidence,” AIAA paper No. 718 (1968).

  3. K. Stewartson, “Viscous hypersonic flow past a slender cone,” Phys. Fluids,7, No. 5 (1964).

  4. J. W. Ellinwood and H. Mirels, “Axisymmetric hypersonic flow with strong viscous interaction,” J. Fluid Mechanics,34, part 4 (1968).

  5. V. V. Mikhailov, “Strong viscous interaction on slender three-dimensional bodies,” Izv. Akad. Nauk SSSR, Mekhan. Zhidk. i Gaza, No. 5 (1969).

  6. J. W. Ellinwood and H. Mirels, “Hypersonic viscous interaction theory for slender axisymmetric bodies,” AIAA paper No. 1 (1968).

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Authors and Affiliations

  1. Moscow

    V. V. Mikhailov

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  1. V. V. Mikhailov
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti, i Gaza, No. 5, pp. 107–113, September–October, 1970.

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Mikhailov, V.V. Second approximation in the problem of the strong viscous interaction on slender three-dimensional bodies. Fluid Dyn 5, 806–811 (1970). https://doi.org/10.1007/BF01017301

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  • DOI: https://doi.org/10.1007/BF01017301

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