Double porosity models for the liquid filtration in a naturally fractured reservoir is derived from the homogenization theory. The governing equations on the microscopic level consist of the stationary Stokes system for an incompressible viscous fluid, occupying a crack-pore space (liquid domain), and stationary Lame equations for an incompressible elastic solid skeleton, coupled with correspon...

In this paper we study the filtration laws for the polymeric flow in a porous medium. We use the quasi-Newtonian models with share dependent viscosity obeying the power-law and the Carreau’s law. Using the method of homogenization in [5] the coupled micro-macro homogenized law, governing the quasi-newtonian flow in a periodic model of a porous medium, was found. We decouple that law separating ...

Filtration media are required to have suitable pore size, pore size distribution, pore volume, pore surface area and permeability for performing satisfactorily in applications. It is difficult to encounter all the desired properties in a filtration medium. In this investigation, we have characterized filtration media by flow porometry, used these pre-characterized filtration media to design com...

The Sanitation Districts of Los Angeles County (Districts) operate 11 wastewater treatment facilities. Ten of these facilities are classified as water reclamation plants (WRPs) producing approximately 200 million gallons per day (MGD) of reclaimed water suitable for reuse. The Districts' Palmdale WRP treats approximately 10 MGD using primary treatment followed by stabilization ponds. This facil...

We report on the development of a method to simulate from first principles the particle filtration efficiency of filters that are composed of structured porous media. We assume that the ratio of particle density to the fluid density is high. We concentrate on the motion of the particles in a laminar flow and quantify the role of inertial effects on the filtration of an ensemble of particles. We...

The filtration of aerosol particles using composites of nano- and microsized fibrous structures is a promising method for the effective separation of nanoparticles from gases. A multi-scale physical system describing the flow pattern and particle deposition at a non-steady-state condition requires an advanced method of modelling. The combination of lattice Boltzmann and Brownian dynamics was us...

NOVEMBER 2005 P ositioned at various stages during bioprocessing, depth filters are used as prefilters that clarify fluid streams to protect, prolong the life, and increase the efficiency of final (sterilizing) filters, chromatography columns, and other separation technologies. Depth filters are particularly well-suited for use in prefiltration during bioprocessing, removing large contaminants ...