Two-dimensional Stokes Flow of an Electrically Conducting Fluid in a Uniform Magnetic Field

This paper deals with the two-dimensional flow of a viscous, incompressible and electrically conducting fluid past a cylinder in a uniform magnetic field, using Stokes approximation. Detailed calculation is carried out for the flow past a circular cylinder in two cases: one in a parallel magnetic field and the other in a transverse magnetic field. The expansion formulae for the drag per unit span of the cylinder are obtained in terms of the Hartmann number in each case.