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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  and
S. Kumar
N. C. Freeman
Affiliation:
School of Mathematics, University of Newcastle-upon-Tyne
S. Kumar
Affiliation:
School of Mathematics, University of Newcastle-upon-Tyne
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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
Information
Journal of Fluid Mechanics , Volume 56 , Issue 3 , 12 December 1972 , pp. 523 - 532
Copyright
© 1972 Cambridge University Press

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References

Freeman, N. C. 1970 Continuum and non-continuum theories of the steady spherically symmetric expansion of a gas into a near vacuum. Proc. 7th Int. Symp. on Rarefied Gas Dynamics, Pisa, Italy (to appear).
Gusev, V. N. & Zhubakova, A. V. 1969 The flow of a viscous heat-conducting compressible fluid into a constant pressure medium. Rarefied Gas Dynamics. Adv. in Appl. Mech. 1 (suppl. 5), 847.Google Scholar
Rebrov, A. K. & Chekmaryov, S. F. 1970 Spherical expansion of the viscous heat conducting low density gas into flooded spaces. Proc. 7th Int. Symp. on Rarefied Gas Dynamics, Pisa, Italy (to appear).
Sakurai, A. 1958 Quart. J. Math. Appl. Mech. 10, 273–289.
Thomas, D. R. 1972 Hypersonic-subsonic transition in spherically symmetric expanding flows. Proc. 8th Int. Symp. on Rarefied Gas Dynamics, Stanford (to appear).