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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.
Effects of Hall
current on heat transfer and magnetohydrodynamic (MHD) boundary layer flow
induced by a continuous surface in a parallel free stream of a second-order
viscoelastic fluid are studied for uniform suction/injection by taking viscous
dissipation into account. Complex nonsimilar solutions to the stream function
and temperature are developed by means of an elegant technique, known as
homotopy analysis method (HAM). Convergence of the solutions is ensured with
the help of -curves. Graphical
and tabular results for the effects of Hall current reveal that it has a
significant influence on: complex velocity, complex temperature, magnitude of
the shear stress at the surface, magnitude of the rate of heat transfer at the
surface and on boundary layer thickness.