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Conflict of Interest: In relation to this article, we declare that there is no conflict of interest.

Publication history: Received January 27, 2002
Accepted August 27, 2002

This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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The Role of Pi, Po, and Pf in Constitutive Equations and New Boundary Conditions in Cake Filtration

Sung Sam Yim^† Yun Min Song Young-Du Kwon¹

Department of Environmental Engineering, Inha University, Incheon 402-751, Korea ¹Department of Environmental Engineering, Donghae University, Gangwon 240-713, Korea

Korean Journal of Chemical Engineering, March 2003, 20(2), 334-342(9), 10.1007/BF02697249

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Abstract

The constitutive equations proposed by Tiller and Shirato were analyzed and a new constitutive equation originating from the sediment thickness was proposed. A new boundary condition of the filter cake based on the solid compressive pressure of the first solid layer, pf, was also proposed. Accurate average specific cake resistances at various pressures and the thickness of cake were calculated with the new constitutive equation and boundary conditions. The influence of pf on the cake thickness and average porosity was studied theoretically. Using three constitutive equations,_x000D_ it was proved that the compressibility n obtained from filtration results instead of CPC (compression-permeability cell) of very compressible cake could not have an exact value.

Keywords

Filtration Cake Filtration Compression-Permeability Cell Porosity Specific Resistance Average Specific Cake Resistance Compressibility Solid Compressive Pressure

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