Rayleigh's collapsing time of a spherical cavity: the $Δ$-factor
| dc.creator | Lima, J. A. S. | |
| dc.creator | da Silveira, F. E. M. | |
| dc.date | 2007-02-17 | |
| dc.date.accessioned | 2026-07-07T07:47:37Z | |
| dc.date.available | 2026-07-07T07:47:37Z | |
| dc.description | New corrections to the equation of motion and total collapsing time of an empty spherical cavity immersed in an infinite incompressible medium are proposed on the assumption of a non-uniform density. The dimensionless number quantifying the corrections with respect to the standard Rayleigh results (coined the $Δ$-factor) is fully independent of other possible contributions like surface tension and viscous terms. The $Δ$-factor effect advocated here can be seen as a direct consequence of a mass-shell non-trivial solution to the continuity equation. The consistency of the corrections with respect to the Bernoulli theorem and some physical consequences in the framework of the Rayleigh-Plesset equation are also discussed. | |
| dc.description | 12 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/physics/0702147 | |
| dc.identifier | http://arxiv.org/abs/physics/0702147 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124228 | |
| dc.subject | Fluid Dynamics | |
| dc.title | Rayleigh's collapsing time of a spherical cavity: the $Δ$-factor | |
| dc.type | text |