Abstract
Abstract The steady-state number balance for a reinforced coagulating aerosol, with particle removal at some selected size, was solved as a continuous function of particle volume. Using a variety of log-normal feed distributions, it was demonstrated that a power law relationship will result between particle concentration n(v) and volume v, regardless of feed distribution shape. The standard deviation σ of the feed distribution was varied from 1.21 to 20.09. The slopes of the calculated distributions varied with σ. For values of σ 8.0 the slope approached −1.0. Calculated distribution slopes for σ < 2 were similar to those of atmospheric distributions reported for stable meteorological conditions. The time to reach steady state was estimated and found not to be unreasonable compared to meteorological time scales. The results suggest that the Junge power law relationship observed in many atmospheric size distributions may be explained principa...
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