Pressure filtration of milk fat slurries

Development, validation and predictions of a mathematical model

Master thesis (2018)

Authors

D.P. Hazelhoff Heeres Applied Sciences

Contributors

W. Kloek (mentor)
Faculty
Applied Sciences, Applied Sciences
Copyright: © 2018 Doedo Hazelhoff Heeres
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Published Date

19-06-2018

Language

English

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Faculty

Applied Sciences

Abstract


In this study, a pressure filtration model for a slurry of milk fat crystal aggregates is developed, validated and used to investigate the effect of pressure-time profiles. The model focuses on the expression step and describes oil flow locally. The filter cake is modelled as a double porous non-linear elastic medium with permeabilities described by the relation of Meyer & Smith. Conservation equations lead to a coupled system of differential equations, which are numerically solved exploiting a finite-difference scheme.
Simulations with the model give insight through graphs of volume fractions versus filter chamber location at any given time step. Diagrams of oil outflow velocities and solid fat content of produced filter cakes show qualitatively good behaviour when compared to experiments.
Studying the effect of pressure-time profiles, the model predicts that a low rate of pressure increase gives the driest filter cakes. Simulations also indicate that putting steps in pressure-time profiles is hardly effective.