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Collision of two plane free streams with division of one of them into two flows
Authors:P M Belotserkovskii
Abstract:The collision of two streams of ideal incompressible fluid with the division of one stream into two flows in opposite directions along the boundary of the other is considered. The second stream is shifted from its initial direction due to the collision. The ratio of the total pressure heads of the separated and shifted streams is epsile1. The flow regions corresponding to each of these streams map conformally onto the first and fourth quadrants of the complex plane so that the streamline separating the streams corresponds to the real semiaxis in both cases. By using the dynamic and kinematic conditions for this streamline, nonlinear relations are found linking the boundary values of the logarithms of the complex velocity in each of the two flow regions. These analytic functions are computed approximately by linearization at small values of epsi.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 3–7, January–February, 1975.
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