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Minimum-drag cascade design for supersonic flow with subsonic normal velocity component

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Abstract

The variational problem of designing the slender profile of a plane cascade in a supersonic ideal (inviscid and nonheat-conducting) gas flow with a subsonic normal velocity component is solved in the linear approximation. The optimum profiles constructed differ fundamentally from the “closest analog” — the supersonic single profile creating minimum wave drag for given lift. Following [1], it is easy to show that in this case the optimum profile is a plate at an angle of attack determined by the given lift.

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References

  1. A. Miele (ed.),Theory of Optimum Aerodynamic Shapes, Acad. Press, New York (1965).

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  2. H. J. Lichtfuss and H. Starken, “Supersonic cascade flow,”Progress in Aerospace Science., Vol. 15, Pergamon Press, Oxford (1974), p. 37.

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  3. S. K. Godunov, A. V. Zabrodin, M. Ya. Ivanov, et al.,Numerical Solution of Multidimensional Problems of Gas Dynamics [in Russian], Nauka, Moscow (1976).

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  4. G. G. Chernyi,Gas Dynamics [in Russian], Nauka, Moscow (1988).

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  5. A. N. Kraiko and A. A. Osipov, “Damping of a periodic sequence of weak shock waves in channels with “sound-absorbing” walls,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 97 (1976).

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  6. A. N. Kraiko,Variational Problems of Gas Dynamics [in Russian], Nauka, Moscow (1979).

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Authors
  1. A. N. Kraiko
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  2. D. E. Pudovikov
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  3. N. I. Tillyaeva
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Additional information

Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 137–146, January–February, 1995.

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Kraiko, A.N., Pudovikov, D.E. & Tillyaeva, N.I. Minimum-drag cascade design for supersonic flow with subsonic normal velocity component. Fluid Dyn 30, 112–119 (1995). https://doi.org/10.1007/BF02029935

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  • DOI: https://doi.org/10.1007/BF02029935

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