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A Bubble Rising in Viscous Fluid: Lagrange's Equations For Motion at a High Reynolds Number

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dc.contributor.author Harper, J F
dc.date.accessioned 2008-08-27T00:28:31Z
dc.date.accessioned 2022-07-06T22:48:47Z
dc.date.available 2008-08-27T00:28:31Z
dc.date.available 2022-07-06T22:48:47Z
dc.date.copyright 2001
dc.date.issued 2001
dc.identifier.uri https://ir.wgtn.ac.nz/handle/123456789/19090
dc.description.abstract A gas bubble rising steadily in a pure liquid otherwise at rest at a moderate Weber number is, to a good approximation, of oblate spheroidal shape. Previous analytical calculations of that shape at high Reynolds numbers have ignored viscosity. This paper shows that if one includes viscosity by incorporating Rayleigh's dissipation integral in Lagrange's equations, then the speed of rise is that given by Moore, and the shape is that found for inviscid flow by El Sawi using the virial integral and by Benjamin using Hamiltonian theory. en_NZ
dc.format pdf en_NZ
dc.language.iso en_NZ
dc.publisher Te Herenga Waka—Victoria University of Wellington en_NZ
dc.relation Accepted Version en_NZ
dc.relation.ispartofseries Birmingham, England en_NZ
dc.relation.ispartofseries Kluwer Academic Publishing en_NZ
dc.relation.ispartofseries A C King and Y D Shikhmurzaev (eds) en_NZ
dc.relation.ispartofseries 10-14 July 2000 en_NZ
dc.relation.ispartofseries p107-111 en_NZ
dc.relation.ispartofseries IUTAM Symposium on Free Surface Flows en_NZ
dc.subject Lagrangian theory en_NZ
dc.subject Lagrange's equations en_NZ
dc.subject Irrotational en_NZ
dc.subject Spheroidal bubble en_NZ
dc.subject Viscous flow en_NZ
dc.title A Bubble Rising in Viscous Fluid: Lagrange's Equations For Motion at a High Reynolds Number en_NZ
dc.type Text en_NZ
vuwschema.contributor.unit School of Mathematics, Statistics and Computer Science en_NZ
vuwschema.subject.marsden 240502 Fluid Physics en_NZ
vuwschema.type.vuw Conference Paper in Published Proceedings en_NZ
vuwschema.subject.anzsrcforV2 401207 Fundamental and theoretical fluid dynamics en_NZ
dc.rights.rightsholder Kluwer en_NZ

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