This article is cited in 1 paper

Interaction of shear flows of an ideal incompressible fluid in a channel

A. A. Chesnokov

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090

Abstract: The problem of the decay of an arbitrary discontinuity for the equations describing plane-parallel shear flows of an ideal fluid in a narrow channel is considered. The class of particular solutions corresponding to fluid flows with piecewise constant vorticity is studied. In this class, the existence of self-similar solutions describing all possible unsteady wave configurations resulting from the nonlinear interaction of the specified shear flows is established.

Keywords: shear flows, long waves, decay of an arbitrary discontinuity, hyperbolicity.

UDC: 532.591+517.948

Received: 06.12.2005

 English version: Journal of Applied Mechanics and Technical Physics, 2006, 47:6, 800–811

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