Flow and diffusion near a fractal: Partial saturation phenomena

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Abstract
The distribution of drag forces over a rigid fractal structure such as a colloidal aggregate in a flowing liquid is considered. The force p(α) exceeded on a fraction α<(1/2 of the aggregate is not a constant multiple of the median force p((1/2), but diverges in an unusual way with the size of the aggregate. This behavior is interpreted in terms of the time t(α) required to rinse a coating from a fraction α of the aggregate. Diffusing fields and stress fields near an arbitrary fractal are expected to behave similiarly.