Wave reflection and interface waves involving cavitation at a fluid-solid interface
Abstract
The problem of reflection and refraction of waves was solved in closed form when the cavitation bubbles moved with a supersonic velocity with respect to the highest phase velocity of the system. A surface wave solution was obtained when the bubbles move with a subsonic velocity with respect to the Rayleigh wave velocity of the solid, while a leaky wave solution was obtained for intersonic velocities of the bubbles. It was shown that reflected and refracted waves undergo a phase shift and contain higher frequencies. The slopes of the bubbles at the trailing edges were discontinuous for all velocities of the bubbles. However, they were continuous at the leading edges for supersonic velocities. Accordingly, the normal tractions vanished at the leading edges for supersonic velocities, but otherwise had jump discontinuities at both edges of the bubbles. The existence of interface waves leading to cavitation was also investigated.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1977
- Bibcode:
- 1977PhDT.......119B
- Keywords:
-
- Cavitation Flow;
- Liquid-Solid Interfaces;
- Wave Reflection;
- Bubbles;
- Phase Shift;
- Refraction;
- Supersonic Flow;
- Fluid Mechanics and Heat Transfer