Abstract
A theoretical development is presented which describes the time- and space-dependent flux during cross-flow filtration of a microbial suspension under laminar flow conditions. The treatment is based on the numerical solution of the set of non-stationary momentum and material balance equations. A time moving boundary condition at the porous wall describes the dynamics of cake build-up and flux decline. In addition, the concept of shear-induced diffusion has been applied for modelling the shear-induced transport of microbial cells.
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