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An axisymmetric similarity solution for viscous-transonic nozzle flow

Published online by Cambridge University Press:  28 March 2006

M. Sichel  and
Y. K. Yin
M. Sichel
Affiliation:
Department of Aerospace Engineering, University of Michigan, Ann Arbor
Y. K. Yin
Affiliation:
Department of Aerospace Engineering, University of Michigan, Ann Arbor
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Abstract

An axisymmetric viscous-transonic equation is presented. A nozzle-type similarity solution of this equation has been found, which describes the initial stages in the development of shock waves downstream of a converging-diverging nozzle throat. This solution is an extension of a two-dimensional solution found previously (Sichel 1966). By an appropriate choice of an arbitrary scaling constant solutions were found such that there is essentially a weak normal shock near the axis with effects of wall and shock-wave curvature occurring only at a sufficiently large radius. The upstream and downstream asymptotic behaviour of these viscous-transonic nozzle solutions has been investigated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 28 , Issue 3 , 26 May 1967 , pp. 513 - 522
Copyright
© 1967 Cambridge University Press

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