A mathematical model of steady-state cross-flow microfiltration in a woven hose support

Abstract Cross-flow microfiltration is a technique in which the continuous build-up of filter cake is a avoided by pumping a slurry through a porous hose or tube. The filtrate permeats through the walls of the hose and the cake which develops on the inside of the walls is a continously scoured away by the slurry Presented in this paper is a four parameter mathematical model of cross-flow microfiltration which enables the effects of slurry concentration, pressure, slurry flow-rate and hose diameter on the steady-state flux of the filter to be quantified. The model has been verified for cross- flow microfiltration of calcium carbonate in a 25 mm diameter fabric hose.