TITLE:
Unsteady Incompressible Couette Flow Problem for the Eyring-Powell Model with Porous Walls
AUTHORS:
Haider Zaman, Murad Ali Shah, Muhammad Ibrahim
KEYWORDS:
Unsteady; Couette Flow; Eyring-Powell Model; Pade Approximants; Porous Plates
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.3 No.4,
November
21,
2013
ABSTRACT:
This work is concerned with the influence of uniform suction or injection on unsteady incompressible Couette flow for the Eyring-Powell model. The resulting unsteady problem for horizontal velocity field is solved by means of homotopy analysis method (HAM). The characteristics of the horizontal velocity field and wall shear stress are analyzed and discussed. Pade approximants and Taylor polynomials are also found for velocity profile and are used to make the maximum error as small as possible. The graphs of the error for the Pade approximation and Taylor approximation are drawn and discussed. Convergence of the series solution is also discussed with the help of h-curve and interval of convergence is also found.