Abstract
The Rayleigh equation with initial conditions , models the collapse of an empty spherical bubble of radius in an ideal, infinite liquid with far-field pressure and density . The solution for as a function of time , where , is independent of , , and . While no closed-form expression for is known, we find that approximates with an error below 1. A systematic development in orders of further yields the 0.001 approximation , where is a constant and Li is the polylogarithm. The usefulness of these approximations is demonstrated by comparison to high-precision cavitation data obtained in microgravity.
- Received 2 February 2012
DOI:https://doi.org/10.1103/PhysRevE.85.066303
©2012 American Physical Society