Efficient simulation of gas-liquid pipe flows using a generalized population balance equation coupled with the algebraic slip model

Handle URI:
http://hdl.handle.net/10754/563735
Title:
Efficient simulation of gas-liquid pipe flows using a generalized population balance equation coupled with the algebraic slip model
Authors:
Icardi, Matteo ( 0000-0003-3924-3117 ) ; Ronco, Gianni; Marchisio, Daniele Luca; Labois, Mathieu
Abstract:
The inhomogeneous generalized population balance equation, which is discretized with the direct quadrature method of moment (DQMOM), is solved to predict the bubble size distribution (BSD) in a vertical pipe flow. The proposed model is compared with a more classical approach where bubbles are characterized with a constant mean size. The turbulent two-phase flow field, which is modeled using a Reynolds-Averaged Navier-Stokes equation approach, is assumed to be in local equilibrium, thus the relative gas and liquid (slip) velocities can be calculated with the algebraic slip model, thereby accounting for the drag, lift, and lubrication forces. The complex relationship between the bubble size distribution and the resulting forces is described accurately by the DQMOM. Each quadrature node and weight represents a class of bubbles with characteristic size and number density, which change dynamically in time and space to preserve the first moments of the BSD. The predictions obtained are validated against previously published experimental data, thereby demonstrating the advantages of this approach for large-scale systems as well as suggesting future extensions to long piping systems and more complex geometries. © 2014 Elsevier Inc.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Applied Mathematics and Computational Science Program
Publisher:
Elsevier BV
Journal:
Applied Mathematical Modelling
Issue Date:
Sep-2014
DOI:
10.1016/j.apm.2014.04.052
Type:
Article
ISSN:
0307904X
Appears in Collections:
Articles; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorIcardi, Matteoen
dc.contributor.authorRonco, Giannien
dc.contributor.authorMarchisio, Daniele Lucaen
dc.contributor.authorLabois, Mathieuen
dc.date.accessioned2015-08-03T12:08:19Zen
dc.date.available2015-08-03T12:08:19Zen
dc.date.issued2014-09en
dc.identifier.issn0307904Xen
dc.identifier.doi10.1016/j.apm.2014.04.052en
dc.identifier.urihttp://hdl.handle.net/10754/563735en
dc.description.abstractThe inhomogeneous generalized population balance equation, which is discretized with the direct quadrature method of moment (DQMOM), is solved to predict the bubble size distribution (BSD) in a vertical pipe flow. The proposed model is compared with a more classical approach where bubbles are characterized with a constant mean size. The turbulent two-phase flow field, which is modeled using a Reynolds-Averaged Navier-Stokes equation approach, is assumed to be in local equilibrium, thus the relative gas and liquid (slip) velocities can be calculated with the algebraic slip model, thereby accounting for the drag, lift, and lubrication forces. The complex relationship between the bubble size distribution and the resulting forces is described accurately by the DQMOM. Each quadrature node and weight represents a class of bubbles with characteristic size and number density, which change dynamically in time and space to preserve the first moments of the BSD. The predictions obtained are validated against previously published experimental data, thereby demonstrating the advantages of this approach for large-scale systems as well as suggesting future extensions to long piping systems and more complex geometries. © 2014 Elsevier Inc.en
dc.publisherElsevier BVen
dc.subjectAlgebraic slip modelen
dc.subjectDirect quadrature method of momentsen
dc.subjectGas-Liquid flowen
dc.subjectPopulation balance equationen
dc.titleEfficient simulation of gas-liquid pipe flows using a generalized population balance equation coupled with the algebraic slip modelen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.identifier.journalApplied Mathematical Modellingen
dc.contributor.institutionInstitute for Computational Engineering and Sciences, University of Texas at Austin, 201 E 24th St, 78712 Austin, TX, United Statesen
dc.contributor.institutionIstituto di Ingegneria Chimica, Dipartimento di Scienza Applicata e Tecnologia, Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129 Torino, Italyen
dc.contributor.institutionASCOMP GmbH, Technoparkstrasse 1, 8005 Zurich, Switzerlanden
kaust.authorIcardi, Matteoen
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