dc.creatorBürger, Raimund
dc.creatorDiehl, Stefan
dc.creatorMartí, María Carmen
dc.date2020-06-10T22:32:54Z
dc.date2020-06-10T22:32:54Z
dc.date2018-06
dc.date.accessioned2022-10-18T12:07:14Z
dc.date.available2022-10-18T12:07:14Z
dc.identifierNetworks and Heterogeneous Media, Volume 13, Number 2, June 2018, pp. 339–371
dc.identifier1556-1801
dc.identifierhttp://repositoriodigital.ucsc.cl/handle/25022009/1826
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4441460
dc.descriptionArtículo de publicación ISI
dc.descriptionFlotation is a unit operation extensively used in the recovery of valuable minerals in mineral processing and related applications. Essential insight to the hydrodynamics of a flotation column can be obtained by studying just two phases: gas and fluid. To this end, the approach based on the drift-flux theory, proposed in similar form by several authors, is reformulated as a one-dimensional non-linear conservation law with a multiply discontinuous flux. The unknown is the gas volume fraction as a function of height and time, and the flux function depends discontinuously on spatial position due to several feed inlets. The resulting model is similar, but not equivalent, to previously studied clarifier-thickener models for solid-liquid separation and therefore adds a new real-world application to the field of conservation laws with discontinuous flux. Steady-state solutions are studied in detail, including their construction by applying an appropriate entropy condition across each flux discontinuity. This analysis leads to operating charts and tables collecting all possible steady states along with some necessary conditions for their feasibility in each case. Numerical experiments show that the transient model recovers the steady states, depending on the feed rates of the different inlets.
dc.languageen
dc.publisherAmerican Institute of Mathematical Sciences
dc.sourcehttps://doi.org/10.3934/nhm.2018015
dc.subjectKinematic flow models
dc.subjectFlotation
dc.subjectSteady state
dc.subjectConservation law
dc.subjectDiscontinuous flux
dc.titleA conservation law with multiply discontinuous flux modelling a flotation column
dc.typeArtículos de revistas


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