The effect of coagulation on the diffusive spread of aerosol particles with a fractal structure

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Abstract
The treatment of Simons concerning the effect of Brownian coagulation on particle diffusive spread is extended to cover the case of particles with a fractal structure. A novel result is that in the regime Kn>>1, the particulate matter in most cases cannot diffuse outside a certain finite region. For 1-D diffusion when Kn<n with n approximately=0.3, to be contrasted with the cases of coagulating compact particles and noncoagulating particles where n=0.4 and 0.5, respectively. In a typical situation the diffusion time for fractal particles is predicted to be greater than that for compact particles by a factor of about five, and this suggests that experimental measurements on diffusive spread could provide useful evidence about the fractal structure of particles.

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