A fully compressible, two-dimensional model of small, high-speed, cavitating nozzles

A numerical model that treats liquid and vapor as a continuum has been cons tructed for predicting small-scale, high-speed, cavitating nozzle flow. In order to model extremely high pressures, the compressibility of both phases has been included in the scheme, and a third-order shock-capturing techniq ue was applied to the continuity equation to capture sharp jumps in density . In addition, a boundary-fitted mesh was used to treat different nozzle ge ometries. The scheme has been run with very high upstream pressures and wit h a liguid-to-vapor density ratio of 10,000:1. The model results have been compared to experimental measurements of single bubble collapse. Results ar e also presented for rounded and sharp nozzle enhances with varying upstrea m pressures. The model successfully predicted coefficient of discharge and exit velocity for a variety of nozzle geometries.