Comparison study between the effects of different terms contributing to viscous dissipation in saturated porous media

Handle URI:
http://hdl.handle.net/10754/562620
Title:
Comparison study between the effects of different terms contributing to viscous dissipation in saturated porous media
Authors:
Salama, Amgad ( 0000-0002-4463-1010 ) ; Abbas, Ibrahim A A; El-Amin, Mohamed ( 0000-0002-1099-2299 ) ; Sun, Shuyu ( 0000-0002-3078-864X )
Abstract:
Some sort of controversy is associated with the problem of viscous dissipation in saturated porous media for which we try to present a comparison study between the influences of the different terms contributing to this phenomenon. We consider viscous dissipation by studying the case of semi-infinite flat plate embedded in saturated porous medium and is kept at constant, higher temperature compared with the surrounding fluid. The fluid is induced to move upwards by natural convection during which viscous dissipation is considered. The boundary layer assumptions are considered to simplify the treatment and to highlight the influencing parameters. The behavior of temperature, and velocity fields in the neighborhood of the vertical flat plate were used to highlight the effects of these parameters. Three terms were considered to contribute to viscous dissipation, namely Darcy's term, the Forchheimer term and Al-Hadharami's term. Although there are no unanimous agreements between researchers to include the Forchhemier term in the dissipation function, some researchers argued it might have an indirect effect and hence for this sake and for completion purposes, we include it in this comparison study. Dimensional considerations reveal that Darcy's term is influenced by Gebhart number, the Forchheimer term is controlled by the non-Darcy parameter and Al-Hadharami's term is influenced by Darcy's number. The governing, non-dimensional set of equations together with the imposed boundary conditions is numerically investigated by finite element method. The results for the details of the governing parameters are presented and investigated. It is found that the irreversible process of transforming the kinetic energy of the moving fluid to heat energy via the viscosity of the moving fluid (i.e., viscous dissipation) is very much influenced by the relative magnitude of these dimensionless parameters. © 2012 Elsevier Masson SAS. All rights reserved.
KAUST Department:
Computational Transport Phenomena Lab; Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program; Earth Science and Engineering Program
Publisher:
Elsevier
Journal:
International Journal of Thermal Sciences
Issue Date:
Feb-2013
DOI:
10.1016/j.ijthermalsci.2012.08.021
Type:
Article
ISSN:
12900729
Appears in Collections:
Articles; Environmental Science and Engineering Program; Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program; Computational Transport Phenomena Lab

Full metadata record

DC FieldValue Language
dc.contributor.authorSalama, Amgaden
dc.contributor.authorAbbas, Ibrahim A Aen
dc.contributor.authorEl-Amin, Mohameden
dc.contributor.authorSun, Shuyuen
dc.date.accessioned2015-08-03T10:58:40Zen
dc.date.available2015-08-03T10:58:40Zen
dc.date.issued2013-02en
dc.identifier.issn12900729en
dc.identifier.doi10.1016/j.ijthermalsci.2012.08.021en
dc.identifier.urihttp://hdl.handle.net/10754/562620en
dc.description.abstractSome sort of controversy is associated with the problem of viscous dissipation in saturated porous media for which we try to present a comparison study between the influences of the different terms contributing to this phenomenon. We consider viscous dissipation by studying the case of semi-infinite flat plate embedded in saturated porous medium and is kept at constant, higher temperature compared with the surrounding fluid. The fluid is induced to move upwards by natural convection during which viscous dissipation is considered. The boundary layer assumptions are considered to simplify the treatment and to highlight the influencing parameters. The behavior of temperature, and velocity fields in the neighborhood of the vertical flat plate were used to highlight the effects of these parameters. Three terms were considered to contribute to viscous dissipation, namely Darcy's term, the Forchheimer term and Al-Hadharami's term. Although there are no unanimous agreements between researchers to include the Forchhemier term in the dissipation function, some researchers argued it might have an indirect effect and hence for this sake and for completion purposes, we include it in this comparison study. Dimensional considerations reveal that Darcy's term is influenced by Gebhart number, the Forchheimer term is controlled by the non-Darcy parameter and Al-Hadharami's term is influenced by Darcy's number. The governing, non-dimensional set of equations together with the imposed boundary conditions is numerically investigated by finite element method. The results for the details of the governing parameters are presented and investigated. It is found that the irreversible process of transforming the kinetic energy of the moving fluid to heat energy via the viscosity of the moving fluid (i.e., viscous dissipation) is very much influenced by the relative magnitude of these dimensionless parameters. © 2012 Elsevier Masson SAS. All rights reserved.en
dc.publisherElsevieren
dc.subjectFinite element methoden
dc.subjectNatural convectionen
dc.subjectNon-Darcyen
dc.subjectPorous mediumen
dc.subjectViscous dissipationen
dc.titleComparison study between the effects of different terms contributing to viscous dissipation in saturated porous mediaen
dc.typeArticleen
dc.contributor.departmentComputational Transport Phenomena Laben
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.contributor.departmentEarth Science and Engineering Programen
dc.identifier.journalInternational Journal of Thermal Sciencesen
dc.contributor.institutionNuclear Research Center, AEA, 13759, Cairo, Egypten
dc.contributor.institutionDepartment of Mathematics, Faculty of Science and Arts - Khulais, King Abdulaziz University, Jeddah, Saudi Arabiaen
dc.contributor.institutionMathematics Department, Faculty of Science, Sohag University, Sohag, Egypten
dc.contributor.institutionMathematics Department, Faculty of Science, Aswan University, Aswan, Egypten
kaust.authorSalama, Amgaden
kaust.authorEl-Amin, Mohameden
kaust.authorSun, Shuyuen
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