The nonlinear dynamics of a spherical gas bubble in a liquid water is reconsidered on the basis of the Rayleigh-Plesset equation with particularly emphasis on the unstable behavior with respect to infinitesimal perturbations. The evolution of bubble radius after the discontinuous change of ambient pressure is theoretically analyzed, and the classical critical pressure and critical radius are re-derived as a saddle-node bifurcation point, when the center and saddle on the phase plane merge into a degenerate unstable singular point in the phase plane. Before the saddle-node bifurcation, there is a separatrix issuing from and entering into the saddle point in the inviscid limit. We propose a new criterion for cavitation inception: the ambient pressure that makes the separatrix pass through the initial bubble radius. This criterion gives a cavitation inception pressure higher than the classical one. The effects of viscosity and thermal conductivity are also discussed.
Skip Nav Destination
ASME/JSME 2007 5th Joint Fluids Engineering Conference
July 30–August 2, 2007
San Diego, California, USA
Conference Sponsors:
- Fluids Engineering Division
ISBN:
0-7918-4288-6
PROCEEDINGS PAPER
Reconsideration of Cavitation Inception Theory
Takeru Yano,
Takeru Yano
Hokkaido University, Sapporo, Hokkaido, Japan
Search for other works by this author on:
Shigeo Fujikawa,
Shigeo Fujikawa
Hokkaido University, Sapporo, Hokkaido, Japan
Search for other works by this author on:
Tao Yu
Tao Yu
Hokkaido University, Sapporo, Hokkaido, Japan
Search for other works by this author on:
Takeru Yano
Hokkaido University, Sapporo, Hokkaido, Japan
Shigeo Fujikawa
Hokkaido University, Sapporo, Hokkaido, Japan
Tao Yu
Hokkaido University, Sapporo, Hokkaido, Japan
Paper No:
FEDSM2007-37177, pp. 341-346; 6 pages
Published Online:
March 30, 2009
Citation
Yano, T, Fujikawa, S, & Yu, T. "Reconsideration of Cavitation Inception Theory." Proceedings of the ASME/JSME 2007 5th Joint Fluids Engineering Conference. Volume 1: Symposia, Parts A and B. San Diego, California, USA. July 30–August 2, 2007. pp. 341-346. ASME. https://doi.org/10.1115/FEDSM2007-37177
Download citation file:
4
Views
0
Citations
Related Proceedings Papers
Related Articles
Evaluation of Rayleigh–Plesset Equation Based Cavitation Models for Squeeze Film Dampers
J. Tribol (April,2009)
Cavitation Properties of Oils Under Dynamic Stressing by Tension
J. Fluids Eng (March,2005)
Related Chapters
Towards Real-Time Optical Measurement of Microbubble Content in Hydrodynamic Test Facilities
Proceedings of the 10th International Symposium on Cavitation (CAV2018)
A Reduced Order Gas Pressure Law for Single Acoustic Cavitation Bubbles
Proceedings of the 10th International Symposium on Cavitation (CAV2018)
Numerical Investigation of the Dynamics of Pressure Loading on a Solid Boundary from a Collapsing Cavitation Bubble
Proceedings of the 10th International Symposium on Cavitation (CAV2018)