Cavitating Flow with Surface Tension,
Abstract
The problem of cavitating flow past a two dimensional curved obstacle is considered. Surface tension is included in the dynamic boundary condition. A perturbation solution for small values of the surface tension is presented. It is found that for most positions of the separation point, the slope is not continuous at the separation point. The velocity is infinite or equal to zero there. However, for a given value of the surface tension there exists a particular position of the separation points for which the slope is continuous. This solution tends to the classical solution satisfying the Brillouin-Villat condition as the surface tension tends to zero. Graphs of the results for the cavitating flow past a circular cylinder are presented. In addition a numerical scheme based on an integro-differential equation formulation is derived to solve the problem in the fully nonlinear case. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1983
- Accession Number
- ADP001024
Entities
People
- Jean-marc Vanden-broeck
Organizations
- University of Wisconsin–Madison