Analytical Solution of Maxwell Flow on Flat Plate Subjected to Magnetic Field in a Porous Medium Using Homotopy Perturbation Method (MHD)

In many industrial applications, fluids have non-Newtonian behavior and it is essential to access appropriate analytical models to study them. The Maxwell fluid model is one of the various models, proposed for the approximation of the non-Newtonian fluid behavior, which is used to study some of the industrial applications. In this research, the analytical investigation of a Maxwell flow on flat plate subjected to magnetic field in a porous media has been studied. For this purpose, the governing non-linear partial differential equations, are transformed to the ordinary non-linear equations by similarity variable and then analytically solved by the HPM. The results of the proposed method are compared to the numerical solution and validated. According to the results, increasing the magnetic field parameter, causes the velocity distribution decrement and increment of the boundary layer thickness. The most significant effect of the magnetic field parameter is observed for the stress on the plate. By increasing magnetic field parameter, the stress distribution on the plate substantially increases. Also increasing the magnetic field parameter, increases the skin friction coefficient on the surface and the velocity distribution.