Unsteady MHD squeezing flow between two parallel rotating discs (Q1267590)

We consider the motion of an electrically conducting viscous fluid film between two parallel discs, in which the lower one is rotating with an arbitrary time-dependent angular velocity. The effect of a uniform axial magnetic field is also included. We obtain numerical solutions of the governing nonlinear parabolic partial differential equations by using a fourth-order Hermitian finite difference scheme. The normal forces and torques which the fluid exerts on the discs are obtained for various values of Reynolds number and magnetic field parameter at various non-dimensional times.