Analytical approximation of the first grade MHD squeezing fluid flow with slip boundary condition using a new iterative method

Abstract

AbstractIn this article, the steady two‐dimensional axisymmetric flow of an incompressible viscous fluid in a porous medium under the influence of a uniform transverse magnetic field with slip boundary condition is analyzed and solved by using a new iterative method (NIM). This NIM depends mainly on the coefficients of a power series resulting from integrating the nth order differential equation with nonlinear operator derivatives. NIM has been used to obtain the approximate analytical solution by varying the pertinent flow parameters. The influence of different parameters on the present solution of the flow is shown through graphs with a discussion. These graphs refer to fact that increasing numbers of Reynolds () and Hartmann () give the attribute of decreasing velocity, with the addition that with an increase in Hartmann number and decrease in Reynolds number the streamlines are stretched towards the x‐axis. Finally, the NIM is effective and highly able to obtain an excellent result.