A Finite Difference Scheme for Double-Diffusive Unsteady Free Convection from a Curved Surface to a Saturated Porous Medium with a Non-Newtonian Fluid

Handle URI:
http://hdl.handle.net/10754/552553
Title:
A Finite Difference Scheme for Double-Diffusive Unsteady Free Convection from a Curved Surface to a Saturated Porous Medium with a Non-Newtonian Fluid
Authors:
El-Amin, Mohamed ( 0000-0002-1099-2299 ) ; Sun, Shuyu ( 0000-0002-3078-864X )
Abstract:
In this paper, a finite difference scheme is developed to solve the unsteady problem of combined heat and mass transfer from an isothermal curved surface to a porous medium saturated by a non-Newtonian fluid. The curved surface is kept at constant temperature and the power-law model is used to model the non-Newtonian fluid. The explicit finite difference method is used to solve simultaneously the equations of momentum, energy and concentration. The consistency of the explicit scheme is examined and the stability conditions are determined for each equation. Boundary layer and Boussinesq approximations have been incorporated. Numerical calculations are carried out for the various parameters entering into the problem. Velocity, temperature and concentration profiles are shown graphically. It is found that as time approaches infinity, the values of wall shear, heat transfer coefficient and concentration gradient at the wall, which are entered in tables, approach the steady state values.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
A Finite Difference Scheme for Double-Diffusive Unsteady Free Convection from a Curved Surface to a Saturated Porous Medium with a Non-Newtonian Fluid 2011, 4:948 Procedia Computer Science
Publisher:
Elsevier BV
Journal:
Procedia Computer Science
Conference/Event name:
11th International Conference on Computational Science, ICCS 2011
Issue Date:
14-May-2011
DOI:
10.1016/j.procs.2011.04.100
Type:
Conference Paper
ISSN:
18770509
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S187705091100158X
Appears in Collections:
Conference Papers; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorEl-Amin, Mohameden
dc.contributor.authorSun, Shuyuen
dc.date.accessioned2015-05-10T14:34:44Zen
dc.date.available2015-05-10T14:34:44Zen
dc.date.issued2011-05-14en
dc.identifier.citationA Finite Difference Scheme for Double-Diffusive Unsteady Free Convection from a Curved Surface to a Saturated Porous Medium with a Non-Newtonian Fluid 2011, 4:948 Procedia Computer Scienceen
dc.identifier.issn18770509en
dc.identifier.doi10.1016/j.procs.2011.04.100en
dc.identifier.urihttp://hdl.handle.net/10754/552553en
dc.description.abstractIn this paper, a finite difference scheme is developed to solve the unsteady problem of combined heat and mass transfer from an isothermal curved surface to a porous medium saturated by a non-Newtonian fluid. The curved surface is kept at constant temperature and the power-law model is used to model the non-Newtonian fluid. The explicit finite difference method is used to solve simultaneously the equations of momentum, energy and concentration. The consistency of the explicit scheme is examined and the stability conditions are determined for each equation. Boundary layer and Boussinesq approximations have been incorporated. Numerical calculations are carried out for the various parameters entering into the problem. Velocity, temperature and concentration profiles are shown graphically. It is found that as time approaches infinity, the values of wall shear, heat transfer coefficient and concentration gradient at the wall, which are entered in tables, approach the steady state values.en
dc.publisherElsevier BVen
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S187705091100158Xen
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.subjectpower-law fluidsen
dc.subjectporous mediumen
dc.subjectmass transferen
dc.subjectfree convectionen
dc.titleA Finite Difference Scheme for Double-Diffusive Unsteady Free Convection from a Curved Surface to a Saturated Porous Medium with a Non-Newtonian Fluiden
dc.typeConference Paperen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalProcedia Computer Scienceen
dc.conference.date2011-06-01 to 2011-06-03en
dc.conference.name11th International Conference on Computational Science, ICCS 2011en
dc.conference.locationSingapore, SGPen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionAswan Faculty of Science, South Valley University, Aswan 81528, Egypten
kaust.authorEl-Amin, Mohameden
kaust.authorSun, Shuyuen
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