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.
@article{704,
title = {Dynamics of a turbulent layer generated by velocity jump},
journal = {ANZIAM Journal},
volume = {44},
year = {2003},
doi = {10.21914/anziamj.v44i0.704},
language = {EN},
url = {http://dml.mathdoc.fr/item/704}
}
Strunin, D. V.; Roberts, A. J. Dynamics of a turbulent layer generated by velocity jump. ANZIAM Journal, Tome 44 (2003) . doi : 10.21914/anziamj.v44i0.704. http://gdmltest.u-ga.fr/item/704/