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On incompressible, turbulent, heated round jets in a co-flowing stream

Published online by Cambridge University Press:  04 July 2016

R. M. C. So  and
B. C. Hwang
R. M. C. So
Affiliation:
Department of Mechanical and Aerospace Engineering, Arizona State University, Tempe, Arizona, USA
B. C. Hwang
Affiliation:
David W. Taylor Naval Ship Research and Development Center, Annapolis, Maryland, USA
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Abstract

Turbulent incompressible heated round jets in a co-flowing stream are analysed theoretically. The normalised mean excess velocity and temperature profiles, as determined by experiments, can be shown to be well represented by appropriately defined Gaussian error-functions. The resulting solutions of the equations of motion and energy give rise to turbulent diffusivities for momentum and heat that are both functions of the stream and radial coordinates and depend parametrically on the co-flowing stream to jet velocity ratio, λ. When λ approaches zero, the eddy diffusivities become independent of the stream coordinate and a constant turbulent Prandtl number is recovered, just as previous studies have predicted. Analytical expressions are obtained for the jet growth and the centreline decay of velocity and temperature. These growth and decay laws are nonlinear functions of the stream coordinate, and show significant deviation from linearity as λ increases. Finally, it is shown that the analytical results are in fair agreement with measurements of round jets in a co-flowing stream, and correctly predict the parametric dependence of jet growth and centreline decay of velocity and temperature on λ.

Type
Research Article
Information
The Aeronautical Journal , Volume 93 , Issue 923 , March 1989 , pp. 100 - 110
Copyright
Copyright © Royal Aeronautical Society 1989 

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