Unsteady Tall Stack Dispersion of Chimney Emissions and its Application to Varying Wind Directions

A procedure for calculating the concentration at any point and time under varying emissions and mean wind conditions is developed based on exact integration of the governing conservation equation. The procedure is simple, easy to use and has no numerical instability difficulties. Application of the procedure shows the fast achievement of steady state concentration under steady chimney emissions and mean wind conditions. It is also suggested that the procedure be used to calculate the correction factor to the time-averaged concentrations determined by conventional computer or physical modelling for constant wind condition to account for the actual fluctuating mean wind direction condition. If the wind databank does not contain detailed minute-to-minute data for exact calculation of the correction factor, the sinusoidal wind assumption should give good approximation without adversely affecting the margin of safety for environmental protection. It is also suggested that the meteorological data bank should contain information on hourly amplitude and standard deviations of wind directions if storage is insufficient to store minute-to-minute wind data.