Theoretical study of an inviscid transonic flow near a discontinuity in wall curvature (Part 2)

Yumashev, Dmitry (2012) Theoretical study of an inviscid transonic flow near a discontinuity in wall curvature (Part 2). [MIMS Preprint]

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Abstract

This work is Part 2 of the extensive theoretical study of an inviscid transonic flow near a discontinuity in wall curvature, focusing on the flow regimes with the \emph{limiting characteristic}. The closed-form solutions obtained in Part 1 using the \emph{hodograph method} are extended beyond the limiting characteristic by means of analytical continuation, and the results are analysed using the \emph{phase portrait technique}. It is shown that if the flow can be extended beyond the limiting characteristic, it subsequently develops a shock wave. This leads to multiple solutions and a wider variety of flow regimes, including the ones with a concave downstream wall. As a consequence, a fundamental link between the local and the global flow patterns is observed in our problem.

Item Type:	MIMS Preprint
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 76 Fluid mechanics
Depositing User:	Dr Dmitry Yumashev
Date Deposited:	23 Apr 2012
Last Modified:	08 Nov 2017 18:18
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1803

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