This article is cited in 10 papers

Mixing layer under a free surface

V. Yu. Lyapidevskii^ab, A. A. Chesnokov<sup>ab

a</sup> Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
^b Novosibirsk State University, Novosibirsk, 630090, Russia

Abstract: In the long-wave approximation, the flow of a homogeneous fluid with a free surface in the gravity field is considered. Mathematical models of the surface turbulent layer in shear flows are derived. Steady solutions of the problem of evolution of the mixing layer under the free surface and formation of a surface turbulent jet are constructed. In particular, the problem of the structure of a turbulent bore in a supercritical flow is solved, and the conditions for the formation of a local subcritical zone ahead of the obstacle are studied.

Keywords: shallow water equations, mixing layer, turbulent bore, breakdown of waves.

UDC: 532.591+532.526

Received: 29.07.2013

 English version: Journal of Applied Mechanics and Technical Physics, 2014, 55:2, 299–310

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