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Journal of Porous Media

Impact factor: 0.707

ISSN Print: 1091-028X
ISSN Online: 1934-0508

Journal of Porous Media

DOI: 10.1615/JPorMedia.v9.i8.10
pages 709-722

Steady Flow of an Oldroyd 8-Constant Fluid between Coaxial Cylinders in a Porous Medium

Masood Khan
Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan
Muhammad Sajid
Theoretical Plasma Physics Division, PINSTECH, P.O. Nilore, Islamabad 44000, Pakistan
M. Ayub
Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, Pakistan

ABSTRACT

This communication investigates the flow of an Oldroyd 8-constant fluid between two infinite coaxial cylinders through a porous medium. The fluid is conducting under the action of transverse magnetic field. Both analytical and numerical solutions of the governing nonlinear problem are presented. The analysis for the analytical solution is carried out using the homotopy analysis method. The numerical solution of the governing nonlinear problem has been given by the finite difference method in combination with iterative scheme. Moreover, a comparison between analytical and numerical solutions is presented in the form of tables. Several limiting situations with their implications can be examined from the presented analysis.