... that 1 dV ??P uc = ? ? = ?? [3] A dt rµl r may depend upon rates of deposition, nature of particles and forces between them, it has the dimensions L?2. The variables V and l are connected in the sense that as a unit of suspension passes through the system a unit of cake is deposited. The relation may be deduced by a material balance for solids transferred from slurry to filter cake. As the cake is permeable it also contains some of the liquid from the slurry. For solids of density ?s, the mass in a filter cake Ms will be Ms = (1? e)lA?s ( = vs?s) [4] and for fluid of density ? the mass of liquid in the cake Ml is Ml = e lA? ( = vl?s) [5] If J is the mass fraction of solids in the feed slurry then (V + eAl) ?J (1 ? e)lA?s = ????? [6] 1 ? J This ...

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