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A simple model of mixing and chemical reaction in a turbulent shear layer

Published online by Cambridge University Press:  20 April 2006

J. E. Broadwell
Affiliation:
Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, CA 91125
R. E. Breidenthal
Affiliation:
Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, CA 91125 Present address: Dept of Aeronautics, University of Washington, Seattle, WA 98195.

Abstract

Arguments are presented to show that the concept of gradient diffusion is inapplicable to mixing in turbulent shear layers. A new model is proposed for treating molecular mixing and chemical reaction in such flows at high Reynolds number. It is based upon the experimental observations that revealed the presence of coherent structures and that showed that fluid elements from the two streams are distributed unmixed throughout the layer by large-scale inviscid motions. The model incorporates features of the strained flame model and makes use of the Kolmogorov cascade in scales. Several model predictions differ markedly from those of diffusion models and suggest experiments for testing the two approaches.

Type
Research Article
Copyright
© 1982 Cambridge University Press

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