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Convergence of a cylindrical liquid shell and the formation of a bore in a rotating fluid

Published online by Cambridge University Press:  10 December 1999

V. K. KEDRINSKII  and
V. V. NIKULIN
V. K. KEDRINSKII
Affiliation:
M. A. Lavrentyev Institute of Hydrodynamics, Novosibirsk, 630090, Russia
V. V. NIKULIN
Affiliation:
M. A. Lavrentyev Institute of Hydrodynamics, Novosibirsk, 630090, Russia
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Abstract

This paper presents the results of experimental studies of a collapsing cylindrical cavity (the convergence of a liquid shell) in a rotating fluid as well as the formation and propagation of a jump (bore) at the interface. The basic parameters of the liquid shell dynamics for a pulsed one-dimensional load are estimated using the equation of cylindrical cavity pulsation in an unbounded fluid. The theoretical model of a rotationally symmetric hydraulic jump moving along the free surface of a hollow vortex is constructed. The jump is simulated by a discontinuous solution of the equations in the long-wave approximation for tornado-like and hollow vortices. For comparison with the experimental data, basic theoretical results are obtained for flows in a hollow vortex with constant circulation and axial velocity varying along the radius of the rotating liquid shell.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 400 , 10 December 1999 , pp. 355 - 374
Copyright
© 1999 Cambridge University Press

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