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dc.contributor.authorMingotti, Nicolaen
dc.contributor.authorCardoso, Silvanaen
dc.date.accessioned2019-02-09T00:32:29Z
dc.date.available2019-02-09T00:32:29Z
dc.date.issued2019-02-25en
dc.identifier.issn0022-1120
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/289113
dc.description.abstract© 2018 Cambridge University Press. We investigate the behaviour of a reactive plume in the two limiting cases of slow and instantaneous chemical reactions. New laboratory measurements show that, whereas the slow reaction between the source and entrained chemical species takes place within the whole volume of each eddy in the plume, the fast reaction develops preferentially at the periphery of the eddies. We develop a new model that quantifies the mixing of the reactive buoyant fluids at the Batchelor scale and thereby the progress of the fast reaction. We present a series of new experimental results that suggest that a critical distance from the source, z crit , exists at which the volume of fluid that is entrained from the ambient is equal to that which is mixed within the plume at the Batchelor scale. For z > z crit , only a fraction of the entrained fluid is rapidly mixed and reacts with the plume fluid. The results of the new experiments enable us to quantify the distance from the source at which an instantaneous reaction reaches completion, and show that it can be significantly larger than the distance at which the stoichiometric dilution of the plume fluid is achieved. In the limit of an instantaneous reaction, the longitudinal profiles of source chemical concentration in the plume depend on (z crit /Ls) 5/6 . The predictions of the model are validated against the experimental results, and the profiles of source chemical concentration in the plume for slow and fast reactions are compared.
dc.titleMixing and reaction in turbulent plumes: The limits of slow and instantaneous chemical kineticsen
dc.typeArticle
prism.endingPage28
prism.publicationDate2019en
prism.publicationNameJournal of Fluid Mechanicsen
prism.startingPage1
prism.volume861en
dc.identifier.doi10.17863/CAM.36375
dcterms.dateAccepted2018-10-12en
rioxxterms.versionofrecord10.1017/jfm.2018.840en
rioxxterms.versionAM
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2019-02-25en
dc.contributor.orcidMingotti, Nicola [0000-0001-9579-0145]
dc.contributor.orcidCardoso, Silvana [0000-0003-0417-035X]
dc.identifier.eissn1469-7645
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idLeverhulme Trust (1594)
rioxxterms.freetoread.startdate2019-08-25


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