Bounds on the Phase Speed of Swirling Flows

In this study, we consider stability of inviscid, incompressible hydromagnetic swirling flows with an azimuthal magnetic field to axisymmetric disturbance. For this problem we obtained the range of complex phase speed that intersect with Sasakura semiellipse under certain condition. The result has been illustrated with three standard examples. When minimum Richardson no. equals to zero it reduces to corresponding result for homogeneous problem. Also, we obtained sharper estimate for the growth rate.