Subcritical and supercritical shear flows above an uneven bottom

V. M. Teshukov^a, A. Budlal<sup>b

a</sup> Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
^b Laboratory of Mechanics, Lille University of Science and Technology, Villeneuve d’Ascq Cedex, 59655, France

Abstract: The concepts of subcritical and supercritical flows are introduced for the long-wave approximation model describing stationary free-boundary rotational flows of an ideal incompressible fluid. Shear flows of a fluid layer above an uneven bottom are analyzed. Exact solutions describing different flow regimes are constructed, and the flow properties are studied as a function of the flow regime. Flows with backward streamlines are considered.

Keywords: long-wave approximation, shear flow, free boundary, subcritical and supercritical regimes, recirculation zone.

UDC: 532.592; 517.958

Received: 07.09.2005

 English version: Journal of Applied Mechanics and Technical Physics, 2006, 47:4, 481–491

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