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Determination of a system consisting of 2n shock pairs realizing the total pressure maximum

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Abstract

The problem of a symmetric system consisting of 2n pairs of intersecting shock waves in a plane breaking duct which realizes the maximum total pressure is solved for given Mach numbers upstream of the leading shocks and downstream of the closing shocks provided that in each pair consisting of impinging and reflected waves the flow turning angles are equal in absolute values and have opposite directions. The corresponding necessary conditions of optimality of this shock-wave system, which constitutes a system of nonlinear algebraic equations, are obtained. An efficient iteration method of solving this system of equations, which makes it possible to solve the above-mentioned problem with high accuracy, is developed. An approximate analytic solution is obtained for large n. The results of solving the problem make it possible to select the optimum configuration of the plane internal-compression duct.

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Authors
  1. A. N. Ganzhelo
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Additional information

Original Russian Text © A.N. Ganzhelo, 2012, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2012, Vol. 47, No. 2, pp. 130–139.

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Ganzhelo, A.N. Determination of a system consisting of 2n shock pairs realizing the total pressure maximum. Fluid Dyn 47, 254–262 (2012). https://doi.org/10.1134/S0015462812020123

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  • DOI: https://doi.org/10.1134/S0015462812020123

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