Modeling of compressible cake filtration

Journal Article · Fri Oct 15 04:00:00 EDT 1993 · Journal of Colloid and Interface Science; (United States)

DOI:https://doi.org/10.1006/jcis.1993.1401· OSTI ID:5733917

Abbound, N M ^[1]; Corapcioglu, M Y ^[2]

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1. Univ. of Connecticut, Waterbury, CT (United States). Dept. of Civil Engineering
2. Texas A and M Univ., College Station, TX (United States). Dept. of Civil Engineering

The transport of suspended solid particles in a liquid through porous media has importance from the viewpoint of engineering practice and industrial applications. Deposition of solid particles on a filter cloth or on a pervious porous medium forms the filter cakes. Following a literature survey, a governing equation for the cake thickness is obtained by considering an instantaneous material balance. In addition to the conservation of mass equations for the liquid, and for suspended and captured solid particles, functional relations among porosity, permeability, and pressure are obtained from literature and solved simultaneously. Later, numerical solutions for cake porosity, pore pressure, cake permeability, velocity of solid particles, concentration of suspended solid particles, and net rate of deposition are obtained. At each instant of time, the porosity decreases throughout the cake from the surface to the filter septum where it has the smallest value. As the cake thickness increases, the trends in pressure variation are similar to data obtained by other researchers. This comparison shows the validity of the theory and the associated solution presented. A sensitivity analysis shows higher pressure values at the filter septum for a less pervious membrane. Finally, a reduction in compressibility parameter provides a thicker cake, causes more particles to be captured inside the cake, and reduces the volumetric filtrate rate. The increase of solid velocity with the reduction in compressibility parameter shows that more rigid cakes compress less.

• OSTI ID: 5733917
• Journal Information: Journal of Colloid and Interface Science; (United States), Journal Name: Journal of Colloid and Interface Science; (United States) Vol. 160:2; ISSN 0021-9797; ISSN JCISA5
• Country of Publication: United States
• Language: English

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COMPRESSIBILITY
DIMENSIONS
FABRIC FILTERS
FILTERS
FILTRATION
GRANULAR BED FILTERS
LAYERS
MATERIALS
MATHEMATICAL MODELS
MECHANICAL FILTERS
MECHANICAL PROPERTIES
PARTICLES
PARTICULATES
PERMEABILITY
POROSITY
POROUS MATERIALS
SENSITIVITY ANALYSIS
SEPARATION PROCESSES
THICKNESS