On the Squeezing flow of Nanofluid through Porous Medium with Slip Boundary and Magnetic Field: A Comparative Study of Three Approximate Analytical Methods
This paper presents a comparative study of approximate analytical methods is carried out using differential transformation, homotopy perturbation and variation parameter methods for the analysis of a steady two-dimensional axisymmetric flow of nanofluid under the influence of a uniform transverse magnetic field with slip boundary condition. Also, parametric studies are carried out to investigate the effects of fluid properties, magnetic field and slip parameters on the squeezing flow. It is revealed from the results that the velocity of the fluid increases with increase in the magnetic parameter under the influence of slip condition while an opposite trend is recorded during no-slip condition. Also, the velocity of the fluid increases as the slip parameter increases but it decreases with increase in the magnetic field parameter and Reynold number under the no-slip condition. The approximate analytical solutions are verified by comparing the results of the approximate analytical methods with the numerical method using Runge-Kutta coupled with shooting method. Although, very good agreements are established between the results, the results of variation parameter method provide excellent agreement with the results of numerical method.
