Deep bed filtration has been experimentally and numerically studied for small particles flowing through a random packing of larger spheres under laminar flow conditions and in the absence of Brownian motion. The study of the particle penetration depths as a function of the ratio between the diameter of the small mobile particles and the diameter of the large fixed spheres reveals a transition in particle capture which is proposed to be analyzed as a phase transition phenomenon.
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Ghidaglia et al. (1996) studied this question.
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