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Asymptotic analysis of the fully developed region of an incompressible, free, turbulent, round jet

Published online by Cambridge University Press:  26 April 2006

W. B. Bush  and
L. Krishnamurthy
W. B. Bush
Affiliation:
King, Buck & Associates, Inc., San Diego, CA 92110, USA
L. Krishnamurthy
Affiliation:
Florida Institute of Technology, Melbourne, FL 32901-6988, USA
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Abstract

The structure of the far-field turbulent region of an incompressible free jet developing downstream of an axisymmetric nozzle is studied by means of the Reynolds time-averaged equations. The analysis employs the method of matched asymptotic expansions, with limit-process expansions developed in the limit of large Reynolds number. The analysis reveals the existence, far downstream of the nozzle exit, of a turbulent core region, an irrotational exterior region, and a distinguished intermediate region. Self-similar formulations are sought for all three regions in terms of appropriate independent and dependent variables. The stress- and pressure-function solutions for the exterior region, unlike the mean-velocity solutions, represent new information on the far-field flow behaviour. The analytical results of the centreline decay of the mean axial velocity and those of the radial distributions of the axial and radial mean-velocity components and the shear- and normal-stress components are compared with available experimental data.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 223 , February 1991 , pp. 93 - 111
Copyright
© 1991 Cambridge University Press

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