Abstract:
In this article, the treatment of three-dimensional non-Newtonian Williamson fluid has been carried out under
examination. Using the standard transformation, the governing equations are converted into universal similarity
equations which have been solved by the optimal homotopy asymptotic method. We observed that the method
is effective, reliable, consistent and efficient in solving strongly nonlinear differential equations. The influence of
embedded parameters on the fluid flow has discovered graphically and using table. The velocity profile in the
x-direction is increased with magnetic and electric field parameters and decreased with the increased stretching
parameter, coefficient of inertia, velocity slip parameter L1 and porosity parameters. The velocity profile in the
y-direction is increased with magnetic and electric field parameters, the distended stretching parameter, while
reduced with the velocity slip parameter L2, coefficient of inertia, and porosity parameters. The temperature
profile is increased with the radiation, thermophoresis and Brownian motion parameters, and Biot number. The
profile of concentration is rising with the enlarged Biot numbers and thermophoresis parameter, while reduced
with the Brownian motion parameter.
KEYWORDS: OHAM, Porous Material
