Combined effect of thermal dispersion and variable viscosity of non-darcy convection heat transfer in a fluidsaturated porous medium

Handle URI:
http://hdl.handle.net/10754/562497
Title:
Combined effect of thermal dispersion and variable viscosity of non-darcy convection heat transfer in a fluidsaturated porous medium
Authors:
El-Amin, Mohamed ( 0000-0002-1099-2299 ) ; Salama, Amgad ( 0000-0002-4463-1010 ) ; El-Amin, Ammaarah A.; Gorla, Rama Subba Reddy
Abstract:
In this paper, the effects of thermal dispersion and variable viscosity on the non-Darcy free, mixed, and forced convection heat transfer along a vertical flat plate embedded in a fluid-saturated porous medium are investigated. Forchheimer extension is employed in the flow equation to express the non-Darcy model. The fluid viscosity varies as an inverse linear function of temperature. The coefficient of thermal diffusivity has been assumed to be the sum of the molecular diffusivity and the dynamic diffusivity due to mechanical dispersion. Similarity solutions of the governing equations, for an isothermally heated plate, are obtained. Effects of the physical parameters, which govern the problem, on the rate of heat transfer in terms of Nusselt number, the slip velocity, and the boundary layer thickness, for the two cases Darcy and non-Darcy, are shown on graphs or entered in tables. © 2013 by Begell House, Inc.
KAUST Department:
Earth Science and Engineering Program
Publisher:
Begell House
Journal:
Journal of Porous Media
Issue Date:
2013
DOI:
10.1615/JPorMedia.v16.i5.70
Type:
Article
ISSN:
1091028X
Appears in Collections:
Articles; Earth Science and Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorEl-Amin, Mohameden
dc.contributor.authorSalama, Amgaden
dc.contributor.authorEl-Amin, Ammaarah A.en
dc.contributor.authorGorla, Rama Subba Reddyen
dc.date.accessioned2015-08-03T10:40:17Zen
dc.date.available2015-08-03T10:40:17Zen
dc.date.issued2013en
dc.identifier.issn1091028Xen
dc.identifier.doi10.1615/JPorMedia.v16.i5.70en
dc.identifier.urihttp://hdl.handle.net/10754/562497en
dc.description.abstractIn this paper, the effects of thermal dispersion and variable viscosity on the non-Darcy free, mixed, and forced convection heat transfer along a vertical flat plate embedded in a fluid-saturated porous medium are investigated. Forchheimer extension is employed in the flow equation to express the non-Darcy model. The fluid viscosity varies as an inverse linear function of temperature. The coefficient of thermal diffusivity has been assumed to be the sum of the molecular diffusivity and the dynamic diffusivity due to mechanical dispersion. Similarity solutions of the governing equations, for an isothermally heated plate, are obtained. Effects of the physical parameters, which govern the problem, on the rate of heat transfer in terms of Nusselt number, the slip velocity, and the boundary layer thickness, for the two cases Darcy and non-Darcy, are shown on graphs or entered in tables. © 2013 by Begell House, Inc.en
dc.publisherBegell Houseen
dc.subjectConvection heat transferen
dc.subjectNon-Darcyen
dc.subjectPorous mediumen
dc.subjectThermal dispersionen
dc.subjectVariable viscosityen
dc.titleCombined effect of thermal dispersion and variable viscosity of non-darcy convection heat transfer in a fluidsaturated porous mediumen
dc.typeArticleen
dc.contributor.departmentEarth Science and Engineering Programen
dc.identifier.journalJournal of Porous Mediaen
dc.contributor.institutionDepartment of Mathematics, Faculty of Science, Aswan University, Aswan 81528, Egypten
dc.contributor.institutionDepartment of Physics, Faculty of Science, Aswan University, Aswan 81528, Egypten
dc.contributor.institutionDepartment of Mechanical Engineering, Cleveland State University, Cleveland, OH 44115, United Statesen
kaust.authorEl-Amin, Mohameden
kaust.authorSalama, Amgaden
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