Effects of temperature-dependent viscosity in channels with porous walls

The influence of temperature-dependent viscosity on the flow along a channel with porous walls at different temperatures was analyzed. Numerical schemes were developed to solve the Navier–Stokes equation and the energy equation, coupled through the dependence of viscosity on temperature. Bifurcation...

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Bibliographic Details
Published inPhysics of fluids (1994) Vol. 14; no. 2; pp. 839 - 849
Main Authors Ferro, Sergio, Gnavi, Graciela
Format Journal Article
LanguageEnglish
Published 01.02.2002
Subjects
Bifurcation (mathematics)
Eigenvalues and eigenfunctions
Navier Stokes equations
Problem solving
Viscosity
Wall flow
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Summary:The influence of temperature-dependent viscosity on the flow along a channel with porous walls at different temperatures was analyzed. Numerical schemes were developed to solve the Navier–Stokes equation and the energy equation, coupled through the dependence of viscosity on temperature. Bifurcation diagrams are presented. Local analysis of the behavior of these bifurcations was also performed. The temporal and spatial stability of stationary solutions was studied by solving eigenvalue problems. The parameter space was explored and the regions where different stationary and periodic solutions appear are described. Periodic solutions obtained by solving the time-dependent problem are also presented.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1070-6631
1089-7666
DOI:10.1063/1.1433969