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Calculation of the swirling flow of an ideal gas in a laval nozzle

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Abstract

The numerical solution of the problem of the motion of a swirling flow of an ideal gas in a Laval nozzle in axisymmetric formulation is obtained by the method of stabilization. As a result, a number of effects appear that are essentially not one-dimensional, in particular, the drawing-in of the sonic line into the nozzle, an effect that leads to a decrease in the nozzle's expansion coefficient. The dependence of this coefficient on the intensity of the swirling is obtained. A number of problems connected with the control of the expansion of a gas through a Laval nozzle and with variation of the thrust of a nozzle can be solved successfully in cases where a rotary motion is imparted to the flow of gas exhausted from the nozzle. Investigation of such a swirling flow in [1, 2] and a number of other papers are based on a one-dimensional model of gas flow, which makes it possible in principle to obtain integrated characteristics of the flow.

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Literature cited

  1. Yu. A. Gostintsev, “Expansion characteristics of a nozzle discharging a helical gas flow,” Izv. Akad. Nauk SSSR, Mekhan. Zhidk. i Gaza, No. 4 (1969).

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  8. R. Dunlap, “An investigation of the swirling flow in a spinning end-burning rocket,” Amer. Inst. of Aeronautics and Astronautics (AIAA) J.,7, No. 12 (1969).

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  1. Tomsk

    A. D. Rychkov

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  1. A. D. Rychkov
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 72–76, September–October, 1971.

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Rychkov, A.D. Calculation of the swirling flow of an ideal gas in a laval nozzle. Fluid Dyn 6, 786–790 (1971). https://doi.org/10.1007/BF01013861

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  • DOI: https://doi.org/10.1007/BF01013861

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