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Hypersonic flow past a rectangular profile through which gas is blown strongly

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In the present paper, we consider the hypersonic flow past a rectangular profile and the end of a cylinder when there is strong distributed blowing of gas through their flat front parts. The injected gas is assumed to be inviscid, and the pressure on the contact surface which separates the exterior flow and the blowing layer is determined in accordance with Newton's formula. The use of perturbation theory in the case of a thin blowing layer has made it possible to obtain limit problems for different flow regions, and the analytic solution and subsequent asymptotic matching of these problems yield the form of the contact surface and the distribution of the pressure on the body. It is shown that the drag of the body depends nonmonotonically on the flow rate of the blown gas. The optimal blowing parameters and the corresponding minimal drag are determined.

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 154–166, January–February, 1982.

I thank V. A. Levin for interest in the work and valuable discussions.

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Vigdorovich, I.I. Hypersonic flow past a rectangular profile through which gas is blown strongly. Fluid Dyn 17, 127–138 (1982).

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  • Perturbation Theory
  • Contact Surface
  • Flow Region
  • Front Part
  • Limit Problem