Abstract
A mathematical model is developed with an interest to examine the effects of the transverse magnetic field on the thermocapillary convection in a liquid bridge of silicon-oil-based ferrofluid under zero gravity. The mass conservation level set method is used to capture the motion of the free surface. The obvious effects of the transverse magnetic field on the flow and temperature distributions as well as surface deformation are detected. The transverse magnetic field affects not only the velocity level inside the liquid bridge but also the velocity level on the free surface. Moreover, the present results prove that it is necessary to take the surface deformation into account in the study on the thermocapillary convection.