Show simple item record

dc.contributor.authorBall, Thomasinaen
dc.contributor.authorHuppert, Herberten
dc.contributor.authorLister, Johnen
dc.contributor.authorNeufeld, Jeromeen
dc.date.accessioned2017-07-05T11:46:59Z
dc.date.available2017-07-05T11:46:59Z
dc.date.issued2017-06-01en
dc.identifier.issn0022-1120
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/265188
dc.description.abstractThe equilibration time in response to a change in flux from Q to $\Lambda$Q after an injection period applied to either a low-Reynolds-number gravity current or one propagating through a porous medium, in both axisymmetric and one-dimensional geometries, is shown to be of the form $\tau$ = Tf($\Lambda$) , independent of all the remaining physical parameters. Numerical solutions are used to investigate f($\Lambda$) for each of these situations and compare very well with experimental results in the case of an axisymmetric current propagating over a rigid horizontal boundary. Analysis of the relaxation towards self-similarity provides an illuminating connection between the excess (deficit) volume from early times and an asymptotically equivalent shift in time origin, and hence a good quantitative estimate of $\tau$ . The case of $\Lambda$ = 0 equilibration after ceasing injection at time T is a singular limit. Extensions to high-Reynolds-number currents and to the case of a constant-volume release followed by constant-flux injection are discussed briefly.
dc.languageengen
dc.language.isoenen
dc.publisherCambridge University Press
dc.titleThe relaxation time for viscous and porous gravity currents following a change in fluxen
dc.typeArticle
prism.endingPage342
prism.publicationDate2017en
prism.publicationNameJournal of Fluid Mechanicsen
prism.startingPage330
prism.volume821en
dc.identifier.doi10.17863/CAM.11244
dcterms.dateAccepted2017-03-27en
rioxxterms.versionofrecord10.1017/jfm.2017.243en
rioxxterms.versionAMen
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2017-06-01en
dc.contributor.orcidBall, Thomasina [0000-0001-8547-0586]
dc.contributor.orcidNeufeld, Jerome [0000-0002-3284-5169]
dc.identifier.eissn1469-7645
rioxxterms.typeJournal Article/Reviewen
cam.issuedOnline2017-05-24en
rioxxterms.freetoread.startdate2017-11-24


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record