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

This paper presents the results of experimental studies of a collapsing cyl indrical 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. Th e basic parameters of the liquid shell dynamics for a pulsed one-dimensiona l load are estimated using the equation of cylindrical cavity pulsation in an unbounded fluid. The theoretical model of a rotationally symmetric hydra ulic 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 l ong-wave approximation for tornado-like and hollow vortices. For comparison with the experimental data, basic theoretical results are obtained for flo ws in a hollow vortex with constant circulation and axial velocity varying along the radius of the rotating liquid shell.