Characteristics of Molten Metal Motion in Rectangular Vessels under Imposition of a Quasi-sinusoidal Magnetic Field

Abstract

A vessel geometry plays an important role in a molten metal motion caused by a quasi-sinusoidal magnetic field. The characteristics of the motion have been studied by comparing the free surface motion of a molten metal in a rectangular vessel with those in a square and a cylindrical ones. The theoretical expressions of Lorentz force and a magnetic pressure, which are induced by imposing a quasi-sinusoidal magnetic field on a molten metal in a rectangular vessel, have been derived. It has been found in all the three vessels with different geometrical shapes, a periodical oscillation motion and an irregular motion predominate the surface motions in a low and a high frequency ranges, respectively.