A Conditionally Stable Scheme for a Transient Flow of a Non-Newtonian Fluid Saturating a Porous Medium

Handle URI:
http://hdl.handle.net/10754/552454
Title:
A Conditionally Stable Scheme for a Transient Flow of a Non-Newtonian Fluid Saturating a Porous Medium
Authors:
El-Amin, Mohamed ( 0000-0002-1099-2299 ) ; Salama, Amgad ( 0000-0002-4463-1010 ) ; Sun, Shuyu ( 0000-0002-3078-864X )
Abstract:
The problem of thermal dispersion effects on unsteady free convection from an isothermal horizontal circular cylinder to a non-Newtonian fluid saturating a porous medium is examined numerically. The Darcy-Brinkman-Forchheimer model is employed to describe the flow field. The thermal diffusivity coefficient has been assumed to be the sum of the molecular diffusivity and the dynamic diffusivity due to mechanical dispersion. The simultaneous development of the momentum and thermal boundary layers are obtained by using finite difference method. The stability conditions are determined for each difference equation. Using an explicit finite difference scheme, solutions at each time-step have been found and then stepped forward in time until reaching steady state solution. Velocity and temperature profiles are shown graphically. It is found that as time approaches infinity, the values of friction factor and heat transfer coefficient approach the steady state values.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
A Conditionally Stable Scheme for a Transient Flow of a Non-Newtonian Fluid Saturating a Porous Medium 2012, 9:651 Procedia Computer Science
Publisher:
Elsevier BV
Journal:
Procedia Computer Science
Conference/Event name:
12th Annual International Conference on Computational Science, ICCS 2012
Issue Date:
2-Jun-2012
DOI:
10.1016/j.procs.2012.04.070
Type:
Conference Paper
ISSN:
18770509
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S1877050912001913
Appears in Collections:
Conference Papers; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorEl-Amin, Mohameden
dc.contributor.authorSalama, Amgaden
dc.contributor.authorSun, Shuyuen
dc.date.accessioned2015-05-07T13:52:59Zen
dc.date.available2015-05-07T13:52:59Zen
dc.date.issued2012-06-02en
dc.identifier.citationA Conditionally Stable Scheme for a Transient Flow of a Non-Newtonian Fluid Saturating a Porous Medium 2012, 9:651 Procedia Computer Scienceen
dc.identifier.issn18770509en
dc.identifier.doi10.1016/j.procs.2012.04.070en
dc.identifier.urihttp://hdl.handle.net/10754/552454en
dc.description.abstractThe problem of thermal dispersion effects on unsteady free convection from an isothermal horizontal circular cylinder to a non-Newtonian fluid saturating a porous medium is examined numerically. The Darcy-Brinkman-Forchheimer model is employed to describe the flow field. The thermal diffusivity coefficient has been assumed to be the sum of the molecular diffusivity and the dynamic diffusivity due to mechanical dispersion. The simultaneous development of the momentum and thermal boundary layers are obtained by using finite difference method. The stability conditions are determined for each difference equation. Using an explicit finite difference scheme, solutions at each time-step have been found and then stepped forward in time until reaching steady state solution. Velocity and temperature profiles are shown graphically. It is found that as time approaches infinity, the values of friction factor and heat transfer coefficient approach the steady state values.en
dc.publisherElsevier BVen
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S1877050912001913en
dc.rightsArchived with thanks to Procedia Computer Science. http://creativecommons.org/licenses/by-nc-nd/3.0/en
dc.subjectFinite difference methoden
dc.subjectstabilityen
dc.subjectnon-Newtonian fluidsen
dc.subjectporous mediaen
dc.subjectfree convectionen
dc.titleA Conditionally Stable Scheme for a Transient Flow of a Non-Newtonian Fluid Saturating a Porous Mediumen
dc.typeConference Paperen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalProcedia Computer Scienceen
dc.conference.date2012-06-04 to 2012-06-06en
dc.conference.name12th Annual International Conference on Computational Science, ICCS 2012en
dc.conference.locationOmaha, NB, USAen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionAswan Faculty of Science, South Valley University, Aswan 81528, Egypten
dc.contributor.institutionNuclear Research Center, AEA, Cairo, Egypten
kaust.authorEl-Amin, Mohameden
kaust.authorSalama, Amgaden
kaust.authorSun, Shuyuen
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