A Deep Bed Filtration Model of Two-Component Suspension in Dual-Zone Porous Medium

The porous medium equation in a two-component domain

We consider a system of two porous medium equations defined on two different components of the real line, which are connected by the nonlinear contact condition ux = vx , v = ψ(u) on the contact line S. First we prove existence and uniqueness of a solution (u, v) on a bounded domain. Furthermore, we are interested in the behaviour of the interface of the porous medium equation when it crosses t...

Effect of Filter Inhomogeneity on Deep-Bed Filtration Process – A CFD Investigation

Aerosol filtration in fibrous filters is one of the principal methods of removal of solid particles from the gas stream. The classical theory of depth filtration is based on the assumption of existing single fiber efficiency, which may be used to the recalculation of the overall efficiency of the entire filter. There are several reasons for inappropriate estimation of the single fi...

A Two-fluid Hyperbolic Model in a Porous Medium

The paper is devoted to the computation of two-phase flows in a porous medium when applying the two-fluid approach. The basic formulation is presented first, together with the main properties of the model. A few basic analytic solutions are then provided, some of them corresponding to solutions of the one-dimensional Riemann problem. Three distinct Finite-Volume schemes are then introduced. The...

Deep Bed Filtration: Modelling Theory and Practice

Investigation of a Cold Model of Internally Circulating Fluidized Bed with Draft Tube to be used as a two-Zone Fluidized Bed Reactor

In this research, a cold model of internally circulating fluidized bed is investigated. The aim is to find the effects of some of the operating parameters on the performance of the reactor. Experiments were carried out in a glass column (30 mm i.d. and 25 cm height) with a centrally located draft tube (11 mm i.d. and 5 or 7 cm height). The bed was loaded with white silica particles (dp = 0.15 -...