Mathematical Model for Aerodynamic Interaction of High-Speed Passenger and Freight Trains on Adjacent Tracks : Part I: Preliminary Conclusions on Problem Formulation and Solution Approach

Abstract

The article highlights the theoretical formulation of the problem of studying the issues of mutual aerodynamic influence that affects the organization of safe crossing of high-speed passenger and freight trains when they move along adjacent railway tracks. The issue of operating freight trains without unnecessary stops in railroad sections with mixed traffic of different types of trains acquires urgent importance. With the help of the Navier-Stokes equation, which is primary in hydrogasdynamics for the study of aerodynamic effects, the nature of air flows that occur during the movement of trains of different categories has been studied. The problem of modeling the dynamics of changes in aerodynamic pressure impulses with respect to time and coordinate is described in detail. Preliminary conclusions on the determination of aerodynamic pressure showed that all speeds of freight and high-speed passenger trains used on the correct sections of Uzbekistan railways shouldn’t exceed the calculated total pressure, to ensure the safety of train movement.