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Analysis of Cake Filtration

By Kamal Kuriyan1, Ann Christine Catlin1

1. Purdue University

Filtration calculation for different types of filter cake

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Version 1.2 - published on 06 Jun 2014

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Filtration models can be used to analyze and optimize filtration operations. A cake filtration equation, which describes the variation in filtration flow rate as a function of operating parameters and physical properties, can be derived by applying Darcy’s law to the filter cake and medium [Rushton et al., 1996]. Several different modes of operation are possible. These include constant rate filtration, which corresponds to operation with a positive displacement pump, and constant pressure filtration, which reflects the typical mode of operation for vacuum filtration. In the latter case, the filtration rate decreases with time as the filter cake builds up. For compressible cakes, the variation in cake properties with time must also be considered in developing a model of the filtration operation. The filtration simulation tool incorporates models and solution methods described in the literature [Holdich, 1994, Rushton et al., 1996, Holdich, 2006]. constpresscompress


A. Rushton, A. S. Ward and R. G. Holdich, Solid-liquid filtration and separation technology, VCH, Weinheim, Germany, 1996.

R. Holdich, Software for simulation and modeling of separation processes, Department of Chemical Engineering, Loughborough University,, accessed on March 30, 2006.

R. Holdich, Simulation of compressible cake filtration, Filtr Separat 31 (1994), 825-829.


K. Kuriyan, A.C. Catlin, A.J. Hlinak, G. Joglekar, P. Basu, G.V. Reklaitis, Hub-based simulations of unit operations in pharmaceutical manufacturing, submitted to Computer Applications in Engineering Education.

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  • Kamal Kuriyan; Ann Christine Catlin (2014), "Analysis of Cake Filtration,"

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