Abstract

Three-dimensional sub- and supersonic flows of gas in nozzles and channels of varying cross section are analyzed. The inverse problem of the theory of Laval nozzles is formulated and extended to three-dimensional flows. An implicit threepoint difference scheme with varying pitch along a layer is proposed. In the neighborhood of the surface for which the Cauchy data are specified an asymptotic series expansion in terms of the stream-function is derived and the method of solving related equations is indicated. Examples of calculations of three-dimensional flows in nozzles are presented. Papers [1–3] dealing with three-dimensional supersonic flows in nozzles and paper [4] in which an analytical solution is derived for the flow in the neighborhood of the nozzle center should be noted among recent publications.

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