Unsteady Magnetohydrodynamic Flow in a Circular Pipe under a Transverse Magnetic Field

An exact solution for unsteady magnetohydrodynamic flow in a circular pipe (with a uniform magnetic field parallel to a diameter of the cross section) with insulating walls has been obtained. For comparison, graphs have been plotted for the magnetic field in the magnetohydrodynamic case and for velocity in the hydrodynamic and magnetohydrodynamic cases at different times.