ANZIAM J. 44(E) ppC723--C738, 2003.

Dynamics of a turbulent layer generated by velocity jump

Abstract

We study a growing turbulent layer generated by the shear between half-spaces of fluid moving with different velocities. The $K$-$\ell $ Kolmogorov theory of turbulence is used, with the closure relation being proportionality of turbulent spatial scale to layer thickness. We show that the turbulent layer exhibits complete self-similarity, that is self-similar dynamics that are independent of initial conditions. A criterion of stability of self-similar regimes is deduced in a simple analytical form. The value of a coefficient entering the closure relation is estimated by matching experimental data.

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Authors

D. V. Strunin

Dept. Maths \& Computing, University of Southern Queensland, Toowoomba, Australia. mailto:strunin@usq.edu.au

A. J. Roberts

Dept. Maths \& Computing, University of Southern Queensland, Toowoomba, Australia. mailto:aroberts@usq.edu.au

Published 1 April 2003. ISSN 1446-8735