Abstract
The theory of Brownian coagulation was examined to obtain the rate of coagulation. For this purpose an exact analytical solution of the Fokker-Planck equation was obtained for the boundary conditions of the given problem. It is shown that Grad's moment method, if carried out to infinite order, does not yield the complete solution. An exact expression for the coagulation coefficient was derived which agrees with Brock's limiting value when Knudsen number tends to infinity and with Smoulchowski's continuum limit when Knudsen number approaches zero. The results are in agreement with Fuch's semiempirical formula and the experimental results of Chatterjee, Kerker, and Cooke and Wagner and Kerker.
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