Dynamics of Separation Points after Instant Stopping of a Circular Cylinder in a Disturbed Liquid
M. V. Norkin
Southern Federal University, Rostov-on-Don, 344090 Russia
Keywords: ideal incompressible fluid, circular cylinder, instantaneous stop, fluid separation, dynamics of separation points, cavity collapse, cavitation number
Abstract
We study the dynamics of a thin attached cavity formed as a result of an instantaneous stop (impact) of a circular cylinder in a disturbed fluid. The fluid flow immediately following the impact and the initial separation zone are determined using the classical model of impact with separation. To study the cavity collapse process, a direct asymptotic method is used, in which the expansions of the main hydrodynamic characteristics are carried out in terms of a small parameter equal to the dimensionless acceleration of the cylinder before impact. In the leading asymptotic approximation, a problem with one-sided constraints is formulated, from the solution of which the motion of separation points is determined and the process of collapse of a thin cavity is described. Taking into account the special equations of the boundary layer, the analysis of the internal free boundary of the fluid is carried out.
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