An investigation of the slipstreams and wakes of trains and the associated effects on trackside people and objects

Abstract

A mathematical model is developed which predicts if a person or a pushchair is destabilised by a train's slipstream. The model simulates the mean slipstream velocity time history using the theories of potential flow, boundary layer growth and wake decay. The turbulence-induced fluctuations are reproduced with an autoregressive model. A randomised person is generated and subjected to the simulated slipstream, and their response is modelled by a simple solid object and a mass-spring-damper system. If the slipstream forces cause the person to be displaced by a critical distance the person is destabilised. A randomised pushchair is also generated and positioned so as to be capable of being destabilised by either toppling over or moving along the ground on its wheels. A toppling pushchair is modelled as a simple solid object in a similar manner to that of a person, and a pushchair will move along the ground on its wheels if the slipstream force is greater than the frictional force. Greater numbers of destabilised people and pushchairs are associated with the slipstream of a freightliner than that of a passenger train, increasing train speed and decreasing distance from the train side