The effect of air flow generated by the movement of a high-speed train on the boundary layer

In this paper, we investigate the flow around a high-speed train, both below and above it. Our aim is to ensure the safety of people and objects near high-speed trains by studying the air flow around them. Specifically, we aim to solve the problem of determining the velocity and pressure distributions in air around a moving train in a horizontal plane. We assume that the flow is two-dimensional, potential, and stationary, and use the Zhukovsky's conformal mapping method, the Christopher -- Schwartz integral, and Chaplygin's source and sink methods to obtain the velocity field. Based on this velocity field, we calculate pressures and the distance of the air flow from the train's surface. We also determine the force of the air flow on solid particles on a horizontal surface to assess the possibility of their separation from the surface.