Application of homotopy perturbation and numerical methods-to the unsteady squeezing MHD flow of a second grade fluid between circular plates

The unsteady two-dimensional flow of an electrically conducting, incompressible second grade fluid between two circular plates approaching or receding from each other symmetrically is studied. A similarity transformation is used to reduce the system of partial differential equations to a single fifth-order non-linear differential equation. The resulting non-linear boundary value problem is solved using homotopy perturbation method and numerical method, and the obtained results are compared graphically for different values of relevant parameters. The total resistance to the upper plate is also calculated.