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Distortion of turbulence in flows with parallel streamlines

Published online by Cambridge University Press:  20 April 2006

M. R. Maxey
M. R. Maxey
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge Present address: Department of Chemical Engineering, The Johns Hopkins University, Baltimore, MD 21218, USA.
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Abstract

Velocity moments have been calculated for the rapid distortion of axisymmetric turbulence in a uniform mean shear. The moments are compared with data on steady pipe flows and two-dimensional channel flows, and the turbulence structure of these flows is summarized in terms of effective distortion strain. The centre-line structure is taken to be characteristic of the undistorted state which from the data is more nearly axisymmetric rather than isotropic. A closer comparison is found than that by Townsend (1970), and in particular the differences in stress ratios $\tau/\rho\overline{u^2_1},\tau/\rho\overline{q^2} $ found between different experiments can be accounted for with the hypothesis of initially axisymmetric turbulence. Profiles for the effective strain are derived from the experiments and are shown to have the same form and to indicate the existence of a relaxation timescale for the large eddies, comparable to the energy decay timescale. An equation for the effective distortion strain is formulated that can be incorporated into a turbulence model.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 124 , November 1982 , pp. 261 - 282
Copyright
© 1982 Cambridge University Press

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