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

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 and interval of convergence is also found.-curve 

Reproducing kernel Hilbert space method based on reproducing kernel functions for investigating boundary layer flow of a Powell–Eyring non-Newtonian fluid

“…We use integration by parts and obtain: (4) y (0) − Z (∞)D (5) y (∞) + Z (0)D (5) y (0) + Z (∞)D (6) y (∞) − Z (0)D (6) y (0) − Z(∞)D (7) y (∞)…”

“…A valuable and complex non-Newtonian fluid is the Powell-Eyring fluid, which has some advances over other non-Newtonian fluid models such as Powell and Eyring in some aspects [4]. Zaman et al [5] have applied the homotopy analysis method to incompressible Powell-Eyring flow in a pipe with porous walls. Nadeem and Saleem [6] have studied on the series of solutions of an unsteady Powell-Eyring nanofluid flow about a rotating cone.…”

Unsteady magnetohydrodynamic flow of some non-Newtonian fluids with slip through porous channel

“…Zaman et al [12] investigated an unsteady incompressible couette flow of Powell-Eyring non-Newtonian fluid under a uniform suction and injection. For an unsteady MHD NonNewtonian fluid having slip conditions in a porous medium, Gbadeyan and Dada [13] investigated the transfer of heat and radiation in the fluid.…”

Couette Flow Problem for an Unsteady MHD Fourth-Grade Fluid with Hall Currents

“…Das et al [12] studied unsteady Couette flow problem in a rotating system. Recently, Zaman et al [13] presented solution for unsteady Couette flow problem for the Eyring-Powell model. When a strong magnetic field is applied in an ionized gas of low density, the conductivity normal to the magnetic field is decreased by free spiraling of electrons and ions about the magnetic lines of force before suffering collisions.…”