Abstract
Numerical analysis has been carried out for a single bubble flow in an electric conducting fluid under the influence of a vertical uniform magnetic field. It is assumed that the both two phases are the incompressible Newtonian fluid and viscous dissipation and Joule heat are neglected. The dimensionless governing equations for an axisymmetric cylindrical coordinate system have been numerically solved using the HSMAC algorithm combining with the level set method. The numerical results reveal that the electromagnetic force acts to suppress the separation vortices behind the bubble and to elongate the bubble shape along the vertical direction.
