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dc.contributor.authorHogg, CAR
dc.contributor.authorDalziel, Stuart
dc.contributor.authorHuppert, Herbert
dc.contributor.authorImberger, J
dc.date.accessioned2015-07-15T09:21:06Z
dc.date.available2015-07-15T09:21:06Z
dc.date.issued2015-09
dc.identifier.citationHogg et al. Physics of Fluids (2015) Vol. 27, 096602. doi: 10.1063/1.4930544
dc.identifier.issn1070-6631
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/248963
dc.description.abstractGravity currents of dense fluid feed basins in many important natural and industrial systems, such as lakes fed by dense rivers and auditoria supplied with cooled air by ventilation systems. The entrainment into these buoyancy driven currents can be influenced by viscous forces. Little work, however, has examined this viscous influence and how entrainment varies with the Reynolds number, Re. Using the idea of an entrainment coefficient, E, we derive a mathematical expression for the rise of the front at the top of the dense fluid ponding in a basin, where the horizontal cross-sectional area of the basin varies linearly with depth. We compare this expression to experiments on gravity currents with source Reynolds numbers, Re_s, covering the broad range 100 < Re_s < 1500. The form of the observed frontal rises was well approximated by our theory. By fitting the observed frontal rises to the theoretical form with E as the free parameter we find a linear trend for E (Re_s) over the range 350 < Re_s < 1100, which is in the transition to turbulent flow. In the experiments the entrainment coefficient, E, varied from 4 x 10^-5 to 7 x 10^-2. These observations show that viscous damping can be a dominant influence on gravity current entrainment in the laboratory and in geophysical flows in this transitional regime.
dc.description.sponsorshipCARH gratefully acknowledges support by the Natural Environment Research Council and Arup. HEH is grateful for support from a Royal Society Wolfson Research Merit Award and a Leverhulme Emeritus Research Fellowship. This manuscript is Centre for Water Research reference 2674-CH.
dc.languageEnglish
dc.language.isoen
dc.publisherAIP Publishing
dc.rightsAttribution-NonCommercial 2.0 UK: England & Wales
dc.rights.urihttp://creativecommons.org/licenses/by-nc/2.0/uk/
dc.titleInclined gravity currents filling basins: The influence of Reynolds number on entrainment into gravity currents
dc.typeArticle
dc.description.versionThis is the author accepted manuscript. The final version is available from AIP via http://dx.doi.org/10.1063/1.4930544
prism.number096602
prism.publicationDate2015
prism.publicationNamePhysics of Fluids
prism.volume27
dc.rioxxterms.funderNERC
datacite.cites.urlhttp://www.repository.cam.ac.uk/handle/1810/249124
rioxxterms.versionofrecord10.1063/1.4930544
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate2015-09-17
dc.contributor.orcidDalziel, Stuart [0000-0002-8487-2038]
dc.identifier.eissn1089-7666
rioxxterms.typeJournal Article/Review
cam.issuedOnline2015-09-17


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