Numerical Calculations of the Collapse of a Cavity in the Vicinity of a Compliant Wall.34F
Abstract
The collapse of a spherical vapor cavity in the vicinity of a complaint boundary is examined numerically. The fluid is treated as a potential flow. Lagrangian boundary conditions are used on the cavity surface; fluid particles and the velocity potential on the surface are tracked in time. At each time step an integral method is used to solve Laplace's equation. The complaint wall is modeled as a membrane with a spring foundation. At the interface between the fluid and the membrane, the pressure and vertical velocity in the flow is matched to the pressure and vertical velocity of the membrane. These boundary conditions linearized and applied at the position of the undisturbed interface between the flow and the membrane. The results of a preliminary set of calculations are presented in which the initial cavity position and radius, the ratio of the time scale for a spherical collapse to the membrane's spring-mass time scale, and the ratio of the spring constant to the membrane tension are all held constant. The characteristics of the collapse as a function of the ratio of the spring constant to the fluid pressure far from the cavity are examined. It is shown that as the spring constant is reduced, the collapse characteristics change from those of a cavity adjacent to a rigid wall and tend toward those of a cavity in an infinite fluid.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 27, 1989
- Accession Number
- ADA210489
Entities
People
- James H Duncan