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Heat Transfer Analysis for Stationary Boundary Layer Slip Flow of a Power-Law Fluid in a Darcy Porous Medium with Plate Suction/Injection
Author(s) -
Asim Aziz,
Yasir Ali,
Taha Aziz,
Javed Siddique
Publication year - 2015
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0138855
Subject(s) - mechanics , heat transfer , partial differential equation , boundary layer , porous medium , power law fluid , slip (aerodynamics) , darcy number , fluid dynamics , ordinary differential equation , boundary value problem , darcy's law , nonlinear system , permeability (electromagnetism) , materials science , differential equation , physics , thermodynamics , flow (mathematics) , porosity , mathematics , natural convection , chemistry , mathematical analysis , quantum mechanics , rayleigh number , composite material , biochemistry , membrane
In this paper, we investigate the slip effects on the boundary layer flow and heat transfer characteristics of a power-law fluid past a porous flat plate embedded in the Darcy type porous medium. The nonlinear coupled system of partial differential equations governing the flow and heat transfer of a power-law fluid is transformed into a system of nonlinear coupled ordinary differential equations by applying a suitable similarity transformation. The resulting system of ordinary differential equations is solved numerically using Matlab bvp4c solver. Numerical results are presented in the form of graphs and the effects of the power-law index, velocity and thermal slip parameters, permeability parameter, suction/injection parameter on the velocity and temperature profiles are examined.

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