Abstract
The problem of free flow past a point source is considered for two streams with different Bernoulli constants whose encounter creates a bounded region of constant pressure. The theory and method of solving problems of plane ideal jet flows with different Bernoulli constants in the jets were developed in [1]. Here, in conformity with [1], a nonlinear system of equations is derived, the question of the construction of a high-accuracy numerical solution is considered, and certain calculation results are presented for various values of the Bernoulli and cavitation numbers, which are dimensionless parameters of the problem.
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Literature cited
V. M. Shurygin, Aerodynamics of Bodies with Jets [in Russian], Mashinostroenie, Moscow (1977).
M. V. Keldysh and L. I. Sedov, “Effective solution of certain boundary-value problems for harmonic functions,” Dokl. Akad. Nauk SSSR,16, 7 (1937).
V. M. Shurygin, “Some properties of plane flows past bodies with jets,” Uch. Zap. TsAGI, 15, 19 (1984).
S. V. Kuz'min, “Free-stream flow past a source for different Bernoulli numbers,” Uch. Zap. TsAGI, 15, 103 (1984).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 55–60, May–June, 1986.
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Zhuk, A.D., Kuz'min, S.V. Nonlinear problem of flow past a source with the formation of a stagnant zone given different Bernoulli constants. Fluid Dyn 21, 384–389 (1986). https://doi.org/10.1007/BF01409721
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DOI: https://doi.org/10.1007/BF01409721