Modelling Waste Water Flow in Hollow Fibre Filters

I. Borsi[1] and A. Fasano[1]
[1]Dipartimento di Matematica U. Dini, Università di Firenze, Firenze, Italy
Published in 2009

In this paper we present a model to describe the process of waste water filtration based on hollow-fibre membrane filters. In particular, we deal with membranes whose pores diameter is in the range 0.01-0.1 µm. The main problem in these filtering systems is the membrane fouling. The mathematical model consists in two equations for the Darcy's flow through the filter, coupled with an advection-diffusion-reaction equation and an evolution equation. The preliminary result of simulations shows that the qualitative behavior of the solution is coherent with the experimental evidence.

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