The nonaxisymmetric motion (produced by a buoyancy-induced cross flow) of afluid in contact with a rotating disk and in the presence of a magnetic field normal to the disk is studied. Using modern quasi-Newtonian techniques, B-splines, and a Galerkin approximation to the fluid motion equations, numerical solutions are obtained for a wide range of magnetic field strengths and Prandtl numbers (ratio of kinematic viscosity to thermal diffusivity). Results are presented in both tabular and graphical form in terms of two nondimensional parameters. There is excellent agreement with previous work.