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Published October 21, 2014 | Submitted
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The Effects of Damköhler Number in a Turbulent Shear Layer


A simple model describing chemical reaction in a turbulent shear layer is put in quantitative form and the model predictions compared with experiment. The reactants are not pre-mixed and the flow is two-dimensional. The dependence of the amount of product in the layer on the Schmidt, Reynolds, and Damköhler numbers and on the stoichiometric ratio is exhibited explicitly in the model. The first two parameters appear as the product (ScRe) and influence that part of the reaction taking place in strained laminar flames. In the limit ScRe → = (for Sc > 1 and Re >> 1) the molecular mixing becomes independent of these parameters as it is in classical turbulence theory but the composition and spatial distribution of the molecularly mixed fluid does not resemble those given by such theories. The model predictions are in reasonable agreement with the experimental results for a Damköhler number range from zero to a mixing limited value. The comparison with a set of data for gases in which Re was varied is somewhat less satisfactory.

Additional Information

© 1986 California Institute of Technology. GALCIT Report FM86-01. The authors wish to acknowledge many helpful discussions with their GALCIT colleagues and especially to thank Richard Miake-Lye for his specific valuable comments on the manuscript. This work was sponsored jointly by the Air Force Office of Scientific Research under Grant No. 83-0213 and the Office of Naval Research under Contract No. N00014-76-C-0260.

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