Model of Lifting a Piston in a Metering Device Based on Magnetic Fluid in a Magnetic Field of an Arbitrary Strength

A theoretical model of a metering pump based on magnetic fluid containing a body of magnetizable material controlled by an applied variable uniform magnetic field is proposed. The model takes into account the nonlinear dependence of the magnetization of the magnetic fluid on the magnetic field. This makes it possible to consider the case of any (including strong) magnetic fields. Within the framework of this model, calculations of lifting a piston separating the magnetic and pumped fluids in various uniform magnetic fields are performed. The calculations based on the proposed model are compared with previous and new experiments. A good agreement between theory and experiment is obtained.