Rayleigh's collapsing time of a spherical cavity: the $\Delta$-factor
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 (...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Journal Article |
| Language: | English |
| Published: |
16-02-2007
|
| Subjects: | |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| 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. |
|---|---|
| AbstractList | 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. |
| Author | da Silveira, F. E. M Lima, J. A. S |
| Author_xml | – sequence: 1 givenname: J. A. S surname: Lima fullname: Lima, J. A. S – sequence: 2 givenname: F. E. M surname: da Silveira fullname: da Silveira, F. E. M |
| BackLink | https://doi.org/10.48550/arXiv.physics/0702147$$DView paper in arXiv |
| BookMark | eNotzztrwzAUBWAN7dCm_QtFg6GTE0u2fK1uJU0fECiUjAVz9XAsUGwjiVD_-4bWyznb4Xy35GoYB0vIAyvWVSNEscHw487rqZ-j03FTQMFZBTdk94Wzt-7YP0aqR-9xim440uROlo4dRRqn3gan0VONZ5fmJ5p6S7PvF-sTZnmHOo3hjlx36KO9X3pFDq-7w_Y933--fWyf9zkCQM4vPzpes0YZ4BLwklBKrjgDsMCkFFZ1kulGKWG0qmtmKmmEKUTNdSNZuSLZ_-wfpp2CO2GY2wXVLqjyF3FASwQ |
| ContentType | Journal Article |
| DBID | GOX |
| DOI | 10.48550/arxiv.physics/0702147 |
| DatabaseName | arXiv.org |
| DatabaseTitleList | |
| Database_xml | – sequence: 1 dbid: GOX name: arXiv.org url: http://arxiv.org/find sourceTypes: Open Access Repository |
| DeliveryMethod | fulltext_linktorsrc |
| ExternalDocumentID | physics_0702147 |
| GroupedDBID | GOX |
| ID | FETCH-LOGICAL-a777-2550f2618bd7297ad727392b2177e71995ebf91c8bb5dcb661d49d5d0562c8913 |
| IEDL.DBID | GOX |
| IngestDate | Mon Jan 08 05:49:34 EST 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | false |
| IsScholarly | false |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-a777-2550f2618bd7297ad727392b2177e71995ebf91c8bb5dcb661d49d5d0562c8913 |
| OpenAccessLink | https://arxiv.org/abs/physics/0702147 |
| ParticipantIDs | arxiv_primary_physics_0702147 |
| PublicationCentury | 2000 |
| PublicationDate | 2007-02-16 |
| PublicationDateYYYYMMDD | 2007-02-16 |
| PublicationDate_xml | – month: 02 year: 2007 text: 2007-02-16 day: 16 |
| PublicationDecade | 2000 |
| PublicationYear | 2007 |
| Score | 1.4025487 |
| SecondaryResourceType | preprint |
| Snippet | 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... |
| SourceID | arxiv |
| SourceType | Open Access Repository |
| SubjectTerms | Physics - Fluid Dynamics |
| Title | Rayleigh's collapsing time of a spherical cavity: the $\Delta$-factor |
| URI | https://arxiv.org/abs/physics/0702147 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwhV1NS8NAEB1sT15EUfGrsoeIp6XJJtvdeBOb2pOC9tCDEPYTBElL04o_351sBPHiNZs97MzCvDfJvAeQZD5DHM-pLYtAUJTyVDLnaS7NxAju08xhH3L-Kp6WclqhTM7NzyyM2ny9f0Z9YN2OI7tvx-Feop_OAAaM4X9bj8_LOO3b6XH1m_68HNBm9_xXuZgdwkGP88h9TMwR7LnmGKqXwI-xF3nbki4Ba2TqBP3dycoTRVoc8sewEaPQ1OGOBHxGkrep-9iqhEZznBNYzKrFw5z2PgZUCYE6CDz1gahIbQOSFcoiZCiZDmRAOIEj0k77MjNSa26NDgXTFqXlFqGJwa-IpzBsVo07A8JSrmyqA8bPRaGkLX0o4AU6j-ZMacbPYdSduV5HqYq6j0ndx-Tin_VL2I-9S0azyRUMt5udG8GgtbvrLujfoQGDdw |
| link.rule.ids | 228,230,782,887 |
| linkProvider | Cornell University |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Rayleigh%27s+collapsing+time+of+a+spherical+cavity%3A+the+%24%5CDelta%24-factor&rft.au=Lima%2C+J.+A.+S&rft.au=da+Silveira%2C+F.+E.+M&rft.date=2007-02-16&rft_id=info:doi/10.48550%2Farxiv.physics%2F0702147&rft.externalDocID=physics_0702147 |