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The Newton drag law for bodies formed by intersecting surfaces

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Abstract

The Newtonian shock layer theory for smooth surfaces has been developed in [1–7]. However, if a body consists of two intersecting surfaces, on each of which there is a regular shock layer, these two layers will interact at the line of intersection. Considering that the shock layer is hypersonic, we can again apply the Newton scheme to the impact of the particles with the second surface. As a result, concentrated forces arise at the line of intersection. An indication of the possibility of the appearance of such forces is given in [2]. In the following we present a method of calculating the concentrated forces and indicate the real flow of which they are the analogy.

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References

  1. G. G. Chernyi, Gas Flows at High Supersonic Speed [in Russian], Fizmatgiz, 1959.

  2. W. D. Hayes and R. F. Probstein, Hypersonic Flow Theory [Russian translation], Izd. inostr. lit., 1962.

  3. G. I. Maikapar, “Account for effect of centrifugal forces on the air pressure on the surface of an arbitrary body in high supersonic flow”, PMM, vol. 23, no. 1, 1959.

  4. I. P. Guiraud, “Newtonian flow over a surface”, Rech. aeronaut. no. 71, 1959.

  5. P. Laval, “Ecoulements Newtoniens sur des surfaces coniques en incidence”, Rech. aeronaut, no. 73, 1959.

  6. A. L. Gonor, “High supersonic flow past a cone at angle of attack”, Izv. AN SSSR, OTN, no. 7, 1958.

  7. A. L. Gonor, “High supersonic gas flow past conical bodies”, Izv. AN SSSR, Mekhanika i mashinostroenie, no. 1, 1959.

  8. G. S. Roslyakov and N. V. Drozdova, “Numerical calculation of flow past a stepped cone”, collection: Numerical methods in Gasdynamics [in Russian], Izd. Moskovskii un-t, no. 2, 1963.

  9. A. L. Gonor, “Exact solution of the problem of supersonic gas flow past certain three-dimensional bodies”, PMM, vol. 28, no. 5, 1964.

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Authors and Affiliations

  1. Scientific-Research Institute of Mechanics, Moscow State University, USSR

    A. L. Gonor

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  1. A. L. Gonor
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Gonor, A.L. The Newton drag law for bodies formed by intersecting surfaces. Fluid Dyn 2, 61–65 (1967). https://doi.org/10.1007/BF01024805

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  • DOI: https://doi.org/10.1007/BF01024805

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