COLLAPSING CAVITIES, TOROIDAL BUBBLES AND JET IMPACT

The present study is aimed at clarifying some of the factors which aff ect the formation and direction of a liquid jet in a collapsing cavity and the pressures induced on a nearby rigid boundary. The flow can be accurately represented by a velocity potential leading to the use of boundary integral methods to compute bubble collapse. For configuratio ns with axial symmetry, the jet motion and that of the bubble centroid are along the axis of symmetry. Examples are presented for bubbles cl ose to a rigid surface and to a free surface. These are followed throu gh to the toroidal stage after jet penetration. When there is no axis of symmetry, fully three-dimensional computations show that the buoyan cy force can cause the jet to move parallel to a vertical rigid bounda ry, thus negating its damaging effect. The computational study is exte nded to model cavitation bubble growth and collapse phases in a forwar d;stagnation point flow as a model of reattachment of a boundary layer a region where severe cavitation damage is often observed. The Kelvin impulse is introduced to aid a better understanding of the mechanics of bubble migration and jet direction in the examples presented. Final ly a comparison between the spherical and axisymmetric theories is mad e for an oscillating bubble in a periodic pressure field; this being o f particular interest to current studies in acoustic cavitation and so noluminescence.