Abonnement à la biblothèque: Guest
Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections
Journal of Porous Media
Facteur d'impact: 1.49 Facteur d'impact sur 5 ans: 1.159 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

Volumes:
Volume 22, 2019 Volume 21, 2018 Volume 20, 2017 Volume 19, 2016 Volume 18, 2015 Volume 17, 2014 Volume 16, 2013 Volume 15, 2012 Volume 14, 2011 Volume 13, 2010 Volume 12, 2009 Volume 11, 2008 Volume 10, 2007 Volume 9, 2006 Volume 8, 2005 Volume 7, 2004 Volume 6, 2003 Volume 5, 2002 Volume 4, 2001 Volume 3, 2000 Volume 2, 1999 Volume 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.v16.i7.60
pages 647-661

POWER-LAW FLUID FLOWS IN CHANNELS WITH A PERMEABLE WALL

Maria Laura Martins-Costa
Universidade Federal Fluminense
Jesus Alfonso Puente Angulo
Laboratory of Theoretical and Applied Mechanics, Graduate Program in Mechanical Engineering, Universidade Federal Fluminense, 24210-240, Niterói, RJ, Brazil; Department of Mechanical Engineering, Federal Center of Technological Education of Rio de Janeiro, Angra dos Reis, RJ, Brazil
Heraldo da Costa Mattos
UNIVERSIDADE FEDERAL FLUMINENSE

RÉSUMÉ

The flow of an incompressible non-Newtonian fluid limited by two impermeable flat plates is studied by considering two distinct flow regions: one with the fluid only (without a porous matrix) and the second one with this fluid flowing through a porous medium. A mixture theory model is employed to describe these two adjacent flow regions in which the fluid has a power-law behavior. Adequate compatibility conditions at the interface between the two regions are considered. Numerical simulations have been performed employing a Runge-Kutta methodology coupled with a shooting strategy. Such problem is interesting in order to verify the coupled influence of material parameters and compatibility conditions. Employing this numerical strategy, the solution of the problem is essentially reduced to finding the root of a real function. The flow behavior for distinct values of the power-law index, characterizing what is usually referred as shear-thinning and shear-thickening fluids, was investigated. Comparison with some limit cases has validated the numerical procedure.


Articles with similar content:

A NUMERICAL STUDY OF TWO-DIMENSIONAL SOLUTE TRANSPORT IN A GROUNDWATER PATHWAY VIA THE INTEGRAL TRANSFORM METHOD
Hybrid Methods in Engineering, Vol.2, 2000, issue 1
Marco A. Leal, Nerbe J. Ruperti, Jr.
THE FALKNER–SKAN FLOW WITH VARIABLE VISCOSITY AND NONLINEAR ROSSELAND THERMAL RADIATION
Heat Transfer Research, Vol.49, 2018, issue 6
Asterios Pantokratoras, Tiegang Fang
Unsteady Boundary Layer Flow Due to a Stretching Sheet in a Porous Medium with Partial Slip
Journal of Porous Media, Vol.12, 2009, issue 9
Muhammad Sajid, I. Ahmad
INTEGRAL TRANSFORM SOLUTIONS FOR ONE-DIMENSIONAL TRANSIENT FLOW AND CONTAMINANT TRANSPORT IN DUAL-POROSITY SYSTEMS
Hybrid Methods in Engineering, Vol.3, 2001, issue 2&3
Rodrigo P. A. Rocha, Manuel Ernani C. Cruz
Chemical Reaction and Variable Viscosity Effects on MHD Mixed Convection Heat and Mass Transfer for Hiemenz Flow Over a Porous Wedge in the Presence of Suction or Injection
International Journal of Fluid Mechanics Research, Vol.35, 2008, issue 1
Ramasamy Kandasamy, Muhaimin, I Hashim