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Journal of Applied Mechanics and Technical Physics

2019 year, number 2

Internal Steady Waves in Deep Stratified Flows

N. I. Makarenko1,2, Zh. L. Maltseva1,2, E. G. Morozov3, R. Yu. Tarakanov3, K. A. Ivanova4
1Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
2Novosibirsk National Research State University, Novosibirsk, 630090, Russia
3Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, 117997, Russian
4Institute of Mathematics, Zurich, Switzerland
Keywords: двухслойная жидкость, слабая стратификация, уединенные волны, two-layer fluid, weak stratification, solitary waves

Abstract

A long-wave approximation that describes running solitary waves is considered within the framework of the model of a weakly stratified two-layer fluid. It is demonstrated that wave regimes occur near the boundary of the parametric domain of shear instability in the stratified flow. This fact offers an explanation for the mechanism of intense mixing in deep near-bottom layers.