Example of solving transonic equations for a shock-free flow past a symmetric profile
type: Item
instance of: scholarly article
title: Example of solving transonic equations for a shock-free flow past a symmetric profile
zbMATH Open document ID: 0569.76064
DOI: 10.1016/0021-8928(82)90092-2
author: B. George
published in: Journal of Applied Mathematics and Mechanics
publication date: 1983-01-01T00:00:00Z
review text: In this study, a parametric method for solving the small disturbance transonic flow equation is developed and generalized. Since the governing Tricomi equation is linear in the hodograph plane, other solutions may be derived from known solutions by differentiations or integrations. Examples from solutions of flow through nozzles by \textit{S. Tomotika} and \textit{K. Tamada} [e.g.: Q. Appl. Math. 8, 127-136 (1950; Zbl 0040.408)] to those of nozzles of nonsymmetric flows and flow past profiles have been shown and discussed.
Mathematics Subject Classification ID: 76H05
zbMATH DE Number: 3910008
zbMATH Keywords: parametric method
zbMATH Keywords: small disturbance transonic flow equation
zbMATH Keywords: Tricomi equation
zbMATH Keywords: hodograph plane
zbMATH Keywords: flow through nozzles
zbMATH Keywords: nozzles of nonsymmetric flows
zbMATH Keywords: flow past profiles
MaRDI profile type: Publication
full work available at URL: 0021-8928(82)90092-2
OpenAlex ID: W2093669259
cites work: Studies on two-dimensional transonic flows of compressible fluid. I
cites work: Studies on two-dimensional transonic flows of compressible fluid. III
cites work: Q4099784
cites work: Q4196123
cites work: On the problem of shock wave formation within a local supersonic zone
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description: scientific article; zbMATH DE number 3910008