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| Conference Presentation (After Call) | FZJ-2015-01345 |
; ;
2014
Abstract: Membrane filtration is a pressure driven process useful for the separation of macrosolutes, colloids or nanoparticles from a solvent or smaller solutes. This process is of high importance for the concentration of protein or microgel suspensions. In these systems, concentration po- larization determines the permeate flux (Fig. 1). Concentration polarization is the build-up of solute at the membrane surface due to convective-diffusive transport of solute in the boundary layer. The efficiency of the separation process is thus strongly dependent on the hydrodynam- ic conditions, membrane porosity and colloidal interactions.We present a macroscopic model for cross-flow filtration, where the suspension is flowing tangentially over the membrane surface. We study filtration of suspensions of impermeable hard spheres, and of neutral and charged permeable particles. The influence of the nature of the particles is reflected through the transport properties of the suspension, such as the con- centration-dependent diffusion coefficient and the viscosity. These two transport properties are calculated using a variant of mode-coupling theory where hydrodynamic interactions be- tween the particles are accounted for [1]. These results are compared with approximate spher- ical cell model calculations, where multi-particle interactions are modelled by imposing spe- cial boundary conditions on the outer cell boundary [2]. We analyze the efficiency of the fil- tration process by studying the concentration polarization layer and the permeate flux at dif- ferent operating conditions (applied pressure and shear rate).References1. G. Nägele, M. Heinen, A.J. Banchio, C. Contreras-Aburto, EPJ ST 2013, 222, 28552. E.K. Zholkovskiy, V.N. Shilov, J.H. Masliyah, M.P. Bondarenko, CJChE 2007, 85, 701
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