The free surface of magneto-rheological fluids (MRFs) can be disturbed by an external magnetic field to form peaks along the field direction. The protruding volume is largely related to the magnitude of the applied B-field. This paper presents a theoretical analysis of the effects of this type of magnetic field on the protruding height (volume) of MRFs. A theoretical model of the protruded volume of MRFs is used according to the Euler equation and the boundary conditions for equilibrium and based on an ideal ellipsoidal shape. The surface profile due to the presence of a magnetic field is also experimentally analysed.
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