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On the solution of the Navier-Stokes equations for a spherically symmetric expanding flow

Published online by Cambridge University Press:  29 March 2006

N. C. Freeman
Affiliation:
School of Mathematics, University of Newcastle-upon-Tyne
S. Kumar
Affiliation:
School of Mathematics, University of Newcastle-upon-Tyne

Abstract

It is shown that for low values of the ambient pressure the flow field for a steady spherically symmetric expansion can be divided into three parts termed the inviscied region, the intermediate layer and the shock layer. Analytic solutions are available in the first two regions and a complete integration of the equation is required in the third. Numerical solutions indicate that such a structure is achieved in the limit and the universality of the solutions in the individual regions is confirmed.

Type
Research Article
Copyright
© 1972 Cambridge University Press

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References

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