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Theoretical study of the swirling flows of an ideal gas in a Laval nozzle
Authors:N. N. Slavyanov
Abstract:Using the finite-difference equations of Godunov [1, 2], the problem of the behavior of an arbitrarily swirling gas flow in a Laval nozzle is solved. Numerical calculations relating to a variety of flows indicate that the integrated parameter of the swirling intensity of the flow epsi, obtained by solving the linearized equations [3] of radially balanced, slightly swirling gases, provides a fair model for any arbitrarily swirling flows. This principle may be used to a reasonable degree of accuracy for calculations up to a swirling intensity such that the flow-rate coefficient of the nozzleMgr falls by a few tens of percents. Flows containing reverse-circulation regions may also be considered.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 85–92, November–December, 1973.In conclusion, the author wishes to thank A. N. Kraiko for help and constant interest in the work, M. Ya. Ivanov for presenting the computer programs, and L. P. Frolova and V. M. Shuvarikova for setting out the graphical material.
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