Phase field simulation of single bubble behavior under magnetic field

By combining the continuum equation with the momentum equation, phase field and magnetic field, a three-dimensional multi-field coupled model of the single bubble rising dynamics in the gas-liquid two-phase flow is established. The phase field method is used to capture the twophase interface and simulate the movement of the gas-liquid interface. Compare the model with the numerical simulation under the Level Set method, it turns out that the simulation effect of the model established by the phase field method is better. The effects of different magnetic field intensity on the rise velocity of bubble and bubble deformation under vertical and horizontal magnetic field are analyzed. The results show that the bubble stretches along the magnetic field line under the action of the magnetic field, and the degree of bubble deformation is proportional to the intensity of the magnetic field. The rising speed of the bubble is affected by the magnetic field, which speeds up the overall rising speed of the bubble in the vertical direction and slows down the rising speed of the bubble in the horizontal direction.