Approximate analytical solutions for flow of a third-grade fluid through a parallel-plate channel filled with a porous medium

Simple item page
dc.contributor.authorAksoy Y.
dc.contributor.authorPakdemirli M.
dc.date.accessioned2024-07-22T08:21:10Z
dc.date.available2024-07-22T08:21:10Z
dc.date.issued2010
dc.description.abstractThe flow of a non-Newtonian fluid through a porous media in between two parallel plates at different temperatures is considered. The governing momentum equation of third-grade fluid with modified Darcy's law and energy equation have been derived. Approximate analytical solutions of momentum and energy equations are obtained by using perturbation techniques. Constant viscosity, Reynold's model viscosity, and Vogel's model viscosity cases are treated separately. The criteria for validity of approximate solutions are derived. A numerical residual error analysis is performed for the solutions. Within the validity range, analytical and numerical solutions are in good agreement. © 2009 Springer Science+Business Media B.V.
dc.identifier.DOI-ID10.1007/s11242-009-9447-5
dc.identifier.issn01693913
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/18473
dc.language.isoEnglish
dc.subjectError analysis
dc.subjectFluids
dc.subjectNon Newtonian flow
dc.subjectParallel flow
dc.subjectPorous materials
dc.subjectPorous plates
dc.subjectViscosity
dc.subjectAnalytical and numerical solutions
dc.subjectApproximate analytical solutions
dc.subjectApproximate solution
dc.subjectDarcy's law
dc.subjectEnergy equation
dc.subjectIn-between
dc.subjectMomentum equation
dc.subjectNon-Newtonian fluids
dc.subjectParallel plates
dc.subjectParallel-plate channels
dc.subjectParallel-plate flow
dc.subjectPorous Media
dc.subjectPorous medium
dc.subjectPorous space
dc.subjectResidual error
dc.subjectThird grade fluids
dc.subjectDarcy law
dc.subjectfluid flow
dc.subjectnon-Newtonian fluid
dc.subjectnumerical model
dc.subjectporous medium
dc.subjectReynolds number
dc.subjectviscosity
dc.subjectPerturbation techniques
dc.titleApproximate analytical solutions for flow of a third-grade fluid through a parallel-plate channel filled with a porous medium
dc.typeArticle

Files

Collections

Scopus Koleksiyonu