The traditional rotary electrical connector has the problems of serious wear and short life. The new rotary electrical connector uses liquid metal as the conductive medium, which greatly alleviates the above problems because of its solid-liquid contact mode. However, there are few studies on the flow field motion characteristics of liquid metal. Therefore, this paper constructs a two-dimensional flow field simulation model, and uses the volume of fluid (VOF) method to analyze the flow conditions of gas-liquid two-phase flow, including air and liquid metal. By changing the rotational speed of the rotating body, the initial height of Galinstan’s liquid level and the length of the rotating body, the change of morphology and height of Galinstan’s liquid level is obtained. The simulation results show that Galinstan will not have serious surface distortion, overflow, and broken contact with the rotating body. This result shows that Galinstan has very stable motion characteristics under rotating agitation. The research content of this paper is of great significance to explain the flow field motion law and flow evolution mechanism of Galinstan, and lays a theoretical foundation for the research and development of liquid metal rotary electrical connectors with Galinstan as the conductive medium.