On the analytic solution of nonlinear flow problem involving Oldroyd 8-constant fluid

The problem dealing with the steady flow of an Oldroyd 8-constant fluid over a suddenly moved plate is considered. The fluid is electrically conducting and a uniform magnetic field is applied in the transverse direction. An analytical solution of the nonlinear boundary value problem is obtained using homotopy analysis method (HAM). The behavior of the material constants and the magnetic field is seen on the velocity distribution. It is noted that the boundary layer thickness decreases by increasing the magnetic parameter.