dorsal/arxiv
View SchemaRayleigh's collapsing time of a spherical cavity: the $\Delta$-factor
| Authors | J. A. S. Lima, F. E. M. da Silveira |
|---|---|
| Categories | |
| ArXiv ID | physics/0702147 |
| URL | https://arxiv.org/abs/physics/0702147 |
Abstract
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 $\Delta$-factor) is fully independent of other possible contributions like surface tension and viscous terms. The $\Delta$-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.
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"abstract": "New corrections to the equation of motion and total collapsing time of an\nempty spherical cavity immersed in an infinite incompressible medium are\nproposed on the assumption of a non-uniform density. The dimensionless number\nquantifying the corrections with respect to the standard Rayleigh results\n(coined the $\\Delta$-factor) is fully independent of other possible\ncontributions like surface tension and viscous terms. The $\\Delta$-factor\neffect advocated here can be seen as a direct consequence of a mass-shell\nnon-trivial solution to the continuity equation. The consistency of the\ncorrections with respect to the Bernoulli theorem and some physical\nconsequences in the framework of the Rayleigh-Plesset equation are also\ndiscussed.",
"arxiv_id": "physics/0702147",
"authors": [
"J. A. S. Lima",
"F. E. M. da Silveira"
],
"categories": [
"physics.flu-dyn"
],
"title": "Rayleigh\u0027s collapsing time of a spherical cavity: the $\\Delta$-factor",
"url": "https://arxiv.org/abs/physics/0702147"
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