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Unsteady Incompressible Couette Flow Problem for the Eyring-Powell Model with Porous Walls

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DOI: 10.4236/ajcm.2013.34041    5,050 Downloads   8,354 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

H. Zaman, M. Shah and M. Ibrahim, "Unsteady Incompressible Couette Flow Problem for the Eyring-Powell Model with Porous Walls," American Journal of Computational Mathematics, Vol. 3 No. 4, 2013, pp. 313-325. doi: 10.4236/ajcm.2013.34041.

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