Soliton wave in a magnetically levitated diamagnetic liquid column

In the flow regulation of a magnetically levitated pipeless flow system, solitary waves may occur, which will lead to pressure fluctuations and surface changes of the levitated diamagnetic liquid column. The present study analyses a soliton in a magnetic pipe both theoretically and experimentally. A two-fluid model is employed here. The theoretical analysis is carried out by a one-dimensional nonviscous and nonlinear method. The experimental study was also carried out by setting two magnetic like poles to produce the magnetic field, using water as the levitated diamagnetic liquid and a diluted kerosene-base magnetic fluid as the surrounding fluid, coupled with a cam system to produce the disturbance. It is found that the magnetic pressure acting on the interface can stabilize the interface. The effects of the magnetic bond number, density ratio of the two fluids and amplitude of the soliton on the soliton wave velocity are clarified.