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Nonlinear effects in steady supersonic dissipative gasdynamics. Part 2. Three-dimensional axisymmetric flow

Published online by Cambridge University Press:  29 March 2006

T. H. Chong
Affiliation:
Division of Applied Mathematics and Centre for Fluid Meohanics, Brown University, Providence, R.I.
L. Sirovich
Affiliation:
Division of Applied Mathematics and Centre for Fluid Meohanics, Brown University, Providence, R.I.

Abstract

Steady, supersonic, dissipative, three-dimensional, axisymmetric flow is considered. A system of Burgers-type equations is shown to govern the flow field. In inviscid regions the Whitham theory gives the limiting form. Dissipative effects ultimately engulf the inviscid zone and at sufficiently large distances from the body the flow is governed by linear dissipative theory. The flow field is divided into zones based on the presence or absence of nonlinearity and dissipation. Estimates and criteria which describe the extent of these zones are given.

Type
Research Article
Copyright
© 1973 Cambridge University Press

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