On the existence of solutions for the hydromagnetic flow over an infinite rotating disk with suction

The hydromagnetic flow over an infinite rotating disk (with suction) is studied in the presence of a circular magnetic field generated in the disk itself. Von Karman type of similarity solutions reduce the problem to a set of non-linear, coupled, ordinary differential equations with two point boundary conditions. The existence of solution is established using Schauder's Fixed Point Theorem which holds good if the magnetic Prandtl number satisfies the inequality 1<=α<=7.5 and the ratio of the Alfven wave speed to the disk speed β<=2. (author)