On the viscous dissipation modeling of thermal fluid flow in a porous medium

Handle URI:
http://hdl.handle.net/10754/561719
Title:
On the viscous dissipation modeling of thermal fluid flow in a porous medium
Authors:
Salama, Amgad ( 0000-0002-4463-1010 ) ; El-Amin, Mohamed ( 0000-0002-1099-2299 ) ; Abbas, Ibrahim A A; Sun, Shuyu ( 0000-0002-3078-864X )
Abstract:
The problem of viscous dissipation and thermal dispersion in saturated porous medium is numerically investigated for the case of non-Darcy flow regime. The fluid is induced to flow upward by natural convection as a result of a semi-infinite vertical wall that is immersed in the porous medium and is kept at constant higher temperature. The boundary layer approximations were used to simplify the set of the governing, nonlinear partial differential equations, which were then non-dimensionalized and solved using the finite elements 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) resulted in insignificant generation of heat for the range of parameters considered in this study. On the other hand, thermal dispersion has shown to disperse heat energy normal to the wall more effectively compared with the normal diffusion mechanism. © 2011 Springer-Verlag.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program; Computational Transport Phenomena Lab; Earth Science and Engineering Program
Publisher:
Springer Verlag
Journal:
Archive of Applied Mechanics
Issue Date:
24-Feb-2011
DOI:
10.1007/s00419-011-0523-2
Type:
Article
ISSN:
09391533
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.authorEl-Amin, Mohameden
dc.contributor.authorAbbas, Ibrahim A Aen
dc.contributor.authorSun, Shuyuen
dc.date.accessioned2015-08-03T09:03:04Zen
dc.date.available2015-08-03T09:03:04Zen
dc.date.issued2011-02-24en
dc.identifier.issn09391533en
dc.identifier.doi10.1007/s00419-011-0523-2en
dc.identifier.urihttp://hdl.handle.net/10754/561719en
dc.description.abstractThe problem of viscous dissipation and thermal dispersion in saturated porous medium is numerically investigated for the case of non-Darcy flow regime. The fluid is induced to flow upward by natural convection as a result of a semi-infinite vertical wall that is immersed in the porous medium and is kept at constant higher temperature. The boundary layer approximations were used to simplify the set of the governing, nonlinear partial differential equations, which were then non-dimensionalized and solved using the finite elements 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) resulted in insignificant generation of heat for the range of parameters considered in this study. On the other hand, thermal dispersion has shown to disperse heat energy normal to the wall more effectively compared with the normal diffusion mechanism. © 2011 Springer-Verlag.en
dc.publisherSpringer Verlagen
dc.subjectFinite element methoden
dc.subjectNatural convectionen
dc.subjectNon-Darcyen
dc.subjectPorous mediumen
dc.subjectViscous dissipationen
dc.titleOn the viscous dissipation modeling of thermal fluid flow in a porous mediumen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.contributor.departmentComputational Transport Phenomena Laben
dc.contributor.departmentEarth Science and Engineering Programen
dc.identifier.journalArchive of Applied Mechanicsen
dc.contributor.institutionMathematics Department, Aswan Faculty of Science, South Valley University, Aswan 81258, Egypten
dc.contributor.institutionMathematics Department, Faculty of Science, Sohag University, Sohag, Egypten
kaust.authorSalama, Amgaden
kaust.authorEl-Amin, Mohameden
kaust.authorSun, Shuyuen
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