We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Durham University

Department of Engineering

Staff Profile

Publication details for Professor Jun Jie Wu

Field, R & Wu, JJ (2011). Modelling of permeability loss in membrane filtration: Re-examination of fundamental fouling equations and their link to critical flux. Desalination 283: 68-74.

Author(s) from Durham


A re-evaluation of the flux decline relationships in the appendix of the 1995 critical flux paper has failed to establish that one may have a critical flux in the presence of fouling that is represented by the “complete” pore blocking (n = 2) mode. It remains valid to contemplate the possibility of a critical flux for the n = 1 and n = 0 (cake) modes. This re-evaluation was undertaken for the situation where the removal terms can be considered to be linearly dependent upon shear stress (and no other hydrodynamic parameters). The integral method for the evaluation of inter alia the switch from one mode of fouling to another was introduced and is an available tool if the suggested hydrodynamic dependency is valid. An alternative hydrodynamic dependency (proportional to shear stress and inversely proportional to flux) was also explored, especially with regard to steady-state fluxes. For n = 1 and n = 0, a square root dependency of final flux upon shear stress was found. Experimental investigation of the validity of the alternative is desirable. From a theoretical point of view, it is noted that for the alternative a critical flux is again incompatible with the n = 2 mode of fouling.