Expanding box models for the long-range transport of chemically reacting airborne material

If a power station plume significantly perturbs the levels of chemically active species in the atmosphere, then the rates of chemical reactions become non-uniform across the plume. This results in different effective plume widths for the different chemical species, which in turn influence the reaction rates. Here coupled equations are derived which for a reaction involving a single oxidant accurately model the total amount of a species in a plume and the associated plume width. The conventional box model slightly underestimates the amount of oxidized material produced. It is therefore suggested that the sensitivity of plume models to assumptions regarding lateral mixing should be tested, using the system of coupled equations derived in the paper.