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Modelling the behaviour of homogeneous scalar turbulence

Published online by Cambridge University Press:  20 April 2006

G. R. Newman ,
B. E. Launder  and
J. L. Lumley
G. R. Newman
Affiliation:
Brown University AVCO Systems Division, 201 Lowell Street, Wilmington, MA 01887.
B. E. Launder
Affiliation:
University of California at Davis AVCO Systems Division, 201 Lowell Street, Wilmington, MA 01887.
J. L. Lumley
Affiliation:
Brown University Cornell University
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Abstract

The paper considers the problem of calculating the statistical characteristics of a passive scalar dispersed by a homogeneous turbulence field. In many turbulent shear flows the time-scale for the evolution of the scalar field is intrinsically related to that of the turbulent velocity field. This is by no means always the case, however, and it is at this more general situation that the present work is aimed. An approximate transport equation for the rate of dissipation of scalar variance is proposed which, it is argued, must contain (at least) two sink terms one of which responds to the time scale of the velocity field while the other reflects that of the scalar field itself. The model has been applied to the limited number of homogeneous scalar flows for which data are available and achieves satisfactory agreement as judged by the evolution of the mean-square scalar variance.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 111 , October 1981 , pp. 217 - 232
Copyright
© 1981 Cambridge University Press

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