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Please use this identifier to cite or link to this item: http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/11271
Title: Hydrodynamic permeability of aggregates of porous particles with an impermeable core
Authors: Tiwari, Ashish
Keywords: Mathematics
Hydrodynamic permeability
Navier boundary condition
Stress jump boundary condition
Issue Date: May-2011
Publisher: Elsevier
Abstract: A hydrodynamic permeability of membranes built up by porous cylindrical or spherical particles with impermeable core is investigated. Different versions of a cell method are used to calculate the hydrodynamic permeability of the membranes. Four known boundary conditions, namely, Happel's, Kuwabara's, Kvashnin's and Cunningham/Mehta-Morse's, are considered on the outer surface of the cell. Comparison of the resulting hydrodynamic permeability is undertaken. A possible jump of a shear stress at the fluid-membrane interface, its impact on the hydrodynamic permeability is also investigated. New results related to the calculated hydrodynamic permeability and the theoretical values of Kozeny constant are reported. Both transversal and normal flows of liquid with respect to the cylindrical fibers that compose the membrane are studied. The deduced theoretical results can be applied for the investigation of the hydrodynamic permeability of colloidal cake layers on the membrane surface, the hydrodynamic permeability of woven materials.
URI: https://www.sciencedirect.com/science/article/pii/S0001868610001466
http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11271
Appears in Collections:Department of Mathematics

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