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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2019 Volume 59, Number 4, Pages 649–669 (Mi zvmmf10881)

This article is cited in 2 papers

Plane-parallel and axisymmetric flows with a straight sonic line

A. N. Kraiko, N. I. Tillyaeva, T. V. Shamardina

Baranov Central Institute of Aviation Motors (CIAM), Moscow, 111116 Russia

Abstract: Features of plane-parallel and axisymmetric flows of an ideal (inviscid and non-heat-conducting) gas with a straight sonic line are studied. The flows under study occur in symmetric and asymmetric plane nozzles and axisymmetric nozzles with circular and annular cross sections. The acceleration and deceleration of flows when a straight sonic line is approached or receded from are studied. Additionally, sonic streamlines are constructed, including a contour of a sonic central body, i.e., a sonic streamline starting at the point of a straight sonic line on the axis of symmetry. The capabilities of the developed approaches are illustrated by examples, which are of interest in themselves.

Key words: transonic flow, straight sonic line, initial characteristic, sonic streamlines, sonic central body.

UDC: 517.958

Received: 09.10.2018
Revised: 14.11.2018
Accepted: 14.11.2018

DOI: 10.1134/S0044466919040070


 English version:
Computational Mathematics and Mathematical Physics, 2019, 59:4, 610–629

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© Steklov Math. Inst. of RAS, 2024