Conserved quantities in Stokes flow with free surfaces

L. J. Cummings; S. D. Howison; J. R. King

doi:10.1063/1.869207

Conserved quantities in Stokes flow with free surfaces

L. J. Cummings, S. D. Howison, J. R. King

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We derive an infinite set of invariants for two-dimensional Stokes flow with a free surface, driven by a point sink, in the case that surface tension effects are negligible. The complex variable methods used are closely related to those used for certain Hele-Shaw flows, which likewise have infinitely many conserved quantities.

Original language	English (US)
Pages (from-to)	477-480
Number of pages	4
Journal	Physics of Fluids
Volume	9
Issue number	3
DOIs	https://doi.org/10.1063/1.869207
State	Published - Mar 1997
Externally published	Yes

All Science Journal Classification (ASJC) codes

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.869207

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title = "Conserved quantities in Stokes flow with free surfaces",

abstract = "We derive an infinite set of invariants for two-dimensional Stokes flow with a free surface, driven by a point sink, in the case that surface tension effects are negligible. The complex variable methods used are closely related to those used for certain Hele-Shaw flows, which likewise have infinitely many conserved quantities.",

author = "Cummings, {L. J.} and Howison, {S. D.} and King, {J. R.}",

year = "1997",

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AU - Howison, S. D.

AU - King, J. R.

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AB - We derive an infinite set of invariants for two-dimensional Stokes flow with a free surface, driven by a point sink, in the case that surface tension effects are negligible. The complex variable methods used are closely related to those used for certain Hele-Shaw flows, which likewise have infinitely many conserved quantities.

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JO - Physics of Fluids

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Conserved quantities in Stokes flow with free surfaces

Abstract

All Science Journal Classification (ASJC) codes

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