Characteristics of molten metal motion in rectangular vessels under imposition of a quasi-sinusoidal magnetic field

A vessel geometry plays an important role in a molten metal motion caused b y 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 r ectangular vessel with those in a square and a cylindrical ones. The theore tical expressions of Lorentz force and a magnetic pressure, which are induc ed by imposing a quasi-sinusoidal magnetic:field on a molten metal in a rec tangular vessel, have been derived. It has been found in all the three vess els with different geometrical shapes, a periodical oscillation motion and an irregular motion predominate the surface motions in a low and a high fre quency ranges, respectively.