The problem of the removal of solid particles from the Earth's surface formed by the movement of a high-speed train

Abstract

The problem of the removal of solid particles from the Earth's surface by an airflow generated by the
movement of a high-speed train is considered. The flow region is bounded by solida AB, DE boundaries
along the main section , where the pressure is constant, and by a free surface. Using Bernoulli’s integral
and the Euler equation for air, it is shown that the velocity magnitude along the free surface can be
determined. The solution is carried out using the Zhukovsky method. Subsequently, the velocity
distribution in the flow region is obtained. By averaging the velocity across the boundary layer thickness,
the average velocity of air particles acting on the solid particles is determined.