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dc.contributor.authorSalama, Amgad
dc.contributor.authorEl-Amin, Mohamed
dc.contributor.authorAbbas, Ibrahim A A
dc.contributor.authorSun, Shuyu
dc.date.accessioned2015-08-03T09:03:04Z
dc.date.available2015-08-03T09:03:04Z
dc.date.issued2011-02-24
dc.identifier.citationSalama, A., El-Amin, M. F., Abbas, I., & Sun, S. (2011). On the viscous dissipation modeling of thermal fluid flow in a porous medium. Archive of Applied Mechanics, 81(12), 1865–1876. doi:10.1007/s00419-011-0523-2
dc.identifier.issn09391533
dc.identifier.doi10.1007/s00419-011-0523-2
dc.identifier.urihttp://hdl.handle.net/10754/561719
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.
dc.publisherSpringer Nature
dc.subjectFinite element method
dc.subjectNatural convection
dc.subjectNon-Darcy
dc.subjectPorous medium
dc.subjectViscous dissipation
dc.titleOn the viscous dissipation modeling of thermal fluid flow in a porous medium
dc.typeArticle
dc.contributor.departmentComputational Transport Phenomena Lab
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentEnvironmental Science and Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalArchive of Applied Mechanics
dc.contributor.institutionMathematics Department, Aswan Faculty of Science, South Valley University, Aswan 81258, Egypt
dc.contributor.institutionMathematics Department, Faculty of Science, Sohag University, Sohag, Egypt
kaust.personSalama, Amgad
kaust.personEl-Amin, Mohamed
kaust.personSun, Shuyu
dc.date.published-online2011-02-24
dc.date.published-print2011-12


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