Optimising Dead-End Cake Filtration Using Poroelasticity Theory

Understanding the operation of filters used to remove particulates from fluids is important in many practical industries. Typically particles are larger than pores filter so a cake layer forms on surface. Here we extend existing models for blocking account deformation material and due applied pressure that drives fluid. These deformations change permeability hence flow. We develop new theory compressible-cake filtration based simple poroelastic model which assume depends linearly local deformation. This assumption allows us derive an explicit law. The predicts possible shutdown when imposed difference sufficiently large reduce at some point zero. industrially relevant operating conditions, namely constant flux, maximising flux drop. Under these further analytical results obtained, yield predictions optimal design with respect given properties materials particles.