Optimizing the performance of a conical ceramic membrane

Abstract

Smart Separations Limited (SSL) is a UK-based start-up who have developed a ceramic membrane with micron-sized conical pores distinct to the cylindrical pores typically used for filtration. This new technology has the potential to be highly beneficial to many applications. However to realize its potential, a comprehensive analysis of the performance and efficiency of the membrane is vital. We use mathematical modelling to explore and quantify the behaviour and performance of the membrane and its link to the underlying pore structure. We derive a reduced model based on the slenderness of the membrane pores that allows us to predict the flux through the membrane, the optimal pore shape that maximizes the amount of contaminant that is trapped. A full 2D numerical framework allows us to study the flow structure within the pores and the effect of changing the angle of the flow of contaminants as it reaches the membrane. Finally, a probabilistic model based on expectation values provides an analytic prediction for the flux decline with time due to membrane blocking. The outcomes of this work provide a first step to providing the key modelling insight that will allow SSL to take this new technology to market.