Abstract
AbstractVortex flow filtration experiments with bovine serum albumin (BSA) solutions and Arthrobacter simplex cell suspensions in a rotary membrane device are modeled in the pressure‐dependent flux and mass‐transfer‐controlled regions. An expression for the concentration‐dependent diffusion coefficients accounting for hydrodynamic and long‐range potential interactions between rigid spherical macromolecules is used for BSA. A shear‐induced diffusion coefficient, strongly concentration‐dependent on the cell concentration, is assumed to describe the diffusion behavior of the cell suspensions. The adjusted model parameters for albumin solutions in the pressure‐dependent region of flux predict the permeation flux behavior for A. Simplex cell suspensions. When the mass‐transfer correlation is calculated using cell diffusion coefficients, based on a volumetric cell fraction that is around half of the average value of the calculated membrane surface fractions, the fluxes are estimated within less than 10.5% relative error. In the mass‐transfer‐controlled region of flux, the volume fractions of cells at the membrane surface are between 0.16 and 0.35, depending on bulk concentration and hydrodynamic conditions.
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