THE EFFECTS OF HIGHER EULERIAN VELOCITY MOMENTS ON THE MEAN CONCENTRATION DISTRIBUTION

In this paper, we present a well-mixed Lagrangian stochasticmodel for vertical dispersion, that can accommodate a Eulerianprobability density function of vertical velocity derived from themaximum missing information (or maximum entropy) principle. Withthis model, we study the effects of skewness (S) and kurtosis (K) ofvertical velocity on the spacial distribution of the mean concentrationdue to sources in the convective boundary layer. Model calculationsshow that the maximum ground-level concentration increases withincreasing S and decreasing K, but the downstream distance to thelocation of the maximum ground-level concentration is ratherinsensitive to S and K. Some earlier predictions of vertical dispersionfor short travel time are examined.