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Journal of Applied Mechanics and Technical Physics

2014 year, number 2

Mixing Layer under a Free Surface

V. Yu. Liapidevskii1,2, A. A. Chesnokov1,2
1Lavrent'ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Novosibirsk, 630090 Russia
2Novosibirsk State University
Keywords: shallow water equations, mixing layer, turbulent bore, breakdown of waves

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.