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A new variational principle in fluid mechanics Purcell, Anthony
Abstract
A new variational principle in fluid mechanics is presented, based on a generalized version of the conservation of particle label constraint. The variational principle represents an extension of the work of Clebsch (1859) and C.C. Lin (1959) and for the one-component case it describes a perfect fluid with a finite density of vortices ; for the two-component fluid it yields the Khalatnikov equations for rapidly rotating superfluid ⁴He. In the latter case two particle label constraints are needed, which express the possibility of labelling both an element of normal fluid and a superfluid vortex, averaged over many vortices. In addition a negative result for a variational formulation of viscous fluids based on a generalized particle label constraint is given.
Item Metadata
Title |
A new variational principle in fluid mechanics
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
1981
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Description |
A new variational principle in fluid mechanics is presented, based on a generalized version of the conservation of particle label constraint. The variational principle represents an extension of the work of Clebsch (1859) and C.C. Lin (1959) and for the one-component case it describes a perfect fluid with a finite density of vortices ; for the two-component fluid it yields the Khalatnikov equations for rapidly rotating superfluid ⁴He. In the latter case two particle label constraints are needed, which express the possibility of labelling both an element of normal fluid and a superfluid vortex, averaged over many vortices. In addition a negative result for a variational formulation of viscous fluids based on a generalized particle label constraint is given.
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Genre | |
Type | |
Language |
eng
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Date Available |
2010-03-29
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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DOI |
10.14288/1.0085766
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.