Energy exchange analysis in droplet dynamics via the Navier–Stokes–Cahn–Hilliard model

Handle URI:
http://hdl.handle.net/10754/621625
Title:
Energy exchange analysis in droplet dynamics via the Navier–Stokes–Cahn–Hilliard model
Authors:
Espath, L. F. R.; Sarmiento, Adel ( 0000-0003-0668-2084 ) ; Vignal, Philippe ( 0000-0001-5300-6930 ) ; Varga, B. O. N.; Cortes, Adriano Mauricio ( 0000-0002-0141-9706 ) ; Dalcin, Lisandro ( 0000-0001-8086-0155 ) ; Calo, Victor M. ( 0000-0002-1805-4045 )
Abstract:
We develop the energy budget equation of the coupled Navier-Stokes-Cahn-Hilliard (NSCH) system. We use the NSCH equations to model the dynamics of liquid droplets in a liquid continuum. Buoyancy effects are accounted for through the Boussinesq assumption. We physically interpret each quantity involved in the energy exchange to gain further insight into the model. Highly resolved simulations involving density-driven flows and the merging of droplets allow us to analyse these energy budgets. In particular, we focus on the energy exchanges when droplets merge, and describe flow features relevant to this phenomenon. By comparing our numerical simulations to analytical predictions and experimental results available in the literature, we conclude that modelling droplet dynamics within the framework of NSCH equations is a sensible approach worthy of further research. © 2016 Cambridge University Press.
KAUST Department:
Numerical Porous Media SRI Center (NumPor); Applied Mathematics and Computational Science Program; Materials Science and Engineering Program; Extreme Computing Research Center
Citation:
Espath LFR, Sarmiento AF, Vignal P, Varga BON, Cortes AMA, et al. (2016) Energy exchange analysis in droplet dynamics via the Navier–Stokes–Cahn–Hilliard model. Journal of Fluid Mechanics 797: 389–430. Available: http://dx.doi.org/10.1017/jfm.2016.277.
Publisher:
Cambridge University Press (CUP)
Journal:
Journal of Fluid Mechanics
Issue Date:
23-May-2016
DOI:
10.1017/jfm.2016.277
Type:
Article
ISSN:
0022-1120; 1469-7645
Appears in Collections:
Articles; Applied Mathematics and Computational Science Program; Extreme Computing Research Center; Materials Science and Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorEspath, L. F. R.en
dc.contributor.authorSarmiento, Adelen
dc.contributor.authorVignal, Philippeen
dc.contributor.authorVarga, B. O. N.en
dc.contributor.authorCortes, Adriano Mauricioen
dc.contributor.authorDalcin, Lisandroen
dc.contributor.authorCalo, Victor M.en
dc.date.accessioned2016-11-03T13:21:15Z-
dc.date.available2016-11-03T13:21:15Z-
dc.date.issued2016-05-23en
dc.identifier.citationEspath LFR, Sarmiento AF, Vignal P, Varga BON, Cortes AMA, et al. (2016) Energy exchange analysis in droplet dynamics via the Navier–Stokes–Cahn–Hilliard model. Journal of Fluid Mechanics 797: 389–430. Available: http://dx.doi.org/10.1017/jfm.2016.277.en
dc.identifier.issn0022-1120en
dc.identifier.issn1469-7645en
dc.identifier.doi10.1017/jfm.2016.277en
dc.identifier.urihttp://hdl.handle.net/10754/621625-
dc.description.abstractWe develop the energy budget equation of the coupled Navier-Stokes-Cahn-Hilliard (NSCH) system. We use the NSCH equations to model the dynamics of liquid droplets in a liquid continuum. Buoyancy effects are accounted for through the Boussinesq assumption. We physically interpret each quantity involved in the energy exchange to gain further insight into the model. Highly resolved simulations involving density-driven flows and the merging of droplets allow us to analyse these energy budgets. In particular, we focus on the energy exchanges when droplets merge, and describe flow features relevant to this phenomenon. By comparing our numerical simulations to analytical predictions and experimental results available in the literature, we conclude that modelling droplet dynamics within the framework of NSCH equations is a sensible approach worthy of further research. © 2016 Cambridge University Press.en
dc.publisherCambridge University Press (CUP)en
dc.subjectdropsen
dc.subjectmathematical foundationsen
dc.subjectmultiphase flowen
dc.titleEnergy exchange analysis in droplet dynamics via the Navier–Stokes–Cahn–Hilliard modelen
dc.typeArticleen
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)en
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentMaterials Science and Engineering Programen
dc.contributor.departmentExtreme Computing Research Centeren
dc.identifier.journalJournal of Fluid Mechanicsen
dc.contributor.institutionNational Scientific and Technical Research Council (CONICET), Santa Fe, Argentinaen
dc.contributor.institutionApplied Geology Department, Western Australian School of Mines, Curtin University, Perth, WA, Australiaen
kaust.authorEspath, L. F. R.en
kaust.authorSarmiento, Adelen
kaust.authorVignal, Philippeen
kaust.authorVarga, B. O. N.en
kaust.authorCortes, Adriano Mauricioen
kaust.authorDalcin, Lisandroen
kaust.authorCalo, Victor M.en
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