dc.contributor.author |
Harper, J F |
|
dc.date.accessioned |
2008-08-28T21:24:50Z |
|
dc.date.accessioned |
2022-07-07T02:12:25Z |
|
dc.date.available |
2008-08-28T21:24:50Z |
|
dc.date.available |
2022-07-07T02:12:25Z |
|
dc.date.copyright |
1997 |
|
dc.date.issued |
1997 |
|
dc.identifier.uri |
https://ir.wgtn.ac.nz/handle/123456789/19163 |
|
dc.description.abstract |
An analytical theory is given for the viscous wake behind a spherical bubble rising steadily in a pure liquid at high Reynolds number, and for that wake's effect on the motion of a second bubble rising underneath the first. Previous theoretical work on this subject consists of just two papers: a first approximation ignoring wake vorticity diffusion between the bubbles, and a full numerical solution avoiding simplifying approximations (apart from that of spherical shape of the bubbles). A second approximation is now found; it removes much of the discrepancy between the first approximation and the full solution. The leading-order calculation of wake vorticity diffusion uses a transformation of the independent variables which appears to be new. Experimental work to date has disagreed with all the theoretical work, but it addresses a somewhat different problem: a line of many bubbles. |
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 |
Published Version |
en_NZ |
dc.relation.ispartofseries |
p289-300 |
en_NZ |
dc.relation.ispartofseries |
351 |
en_NZ |
dc.relation.ispartofseries |
Journal of Fluid Mechanics |
en_NZ |
dc.subject |
Wake vorticity |
en_NZ |
dc.subject |
Diffusion |
en_NZ |
dc.subject |
Bubble |
en_NZ |
dc.title |
Bubbles Rising in Line: Why is the First Approximation So Bad? |
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 |
Journal Contribution - Research Article |
en_NZ |
vuwschema.subject.anzsrcforV2 |
401207 Fundamental and theoretical fluid dynamics |
en_NZ |
dc.rights.rightsholder |
Cambridge University Press |
en_NZ |