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.