John Barr: Thesis Supplementary Material

A Compression Rheology Model of Batch Centrifugal Filtration
We use a compression rheology model to describe the behavior of networking solids during batch centrifugal drum filtration. Description of the batch filtration process is accomplished through the use of the rheologic functions for compressive yield stress presented by Buscall and White(1987), and the hydrodynamic resistance presented by Landman and White(1992), with a characteristic pressure scaling, time scaling, and membrane resistance. We examine a zero membrane resistance simplification of the problem in addition to the finite membrane resistance model. Comparison of the results of this model to those found in engineering text books indicates that non-compression models over predict cake resistance by thirty to sixty times. Compression of the filter cake by capillary forces is also modeled; sufficient capillary stress will prevent the filter cake from unsaturating.

Centrifugal Filtration Executables (.zip file)

Source Code (FORTRAN)

You will also need the DOPRI5.f files from
Hairer and Wanner

The full set of raw data in fixed width text formatting. (.zip file)
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