Lattice-Boltzmann approach for description of the structure of deposited particulate matter in fibrous filters

A numerical study of the effects of loading from diffusive deposition on the efficiency of fibrous filters

“…In the paper of Kostoglou and Konstandopoulos (2000) the deposit evolution on a cylinder was considered for inertial impaction in the limit of high Stokes number. Other studies which attempt to take into account the change in the flow field due to the particle deposit are restricted due to their considerable use of computing time and resources, see Jung and Tien (1993), Biggs et al (2003), Karadimos and Ocone (2003) and Przekop et al (2003).…”

A numerical model of fibrous filters containing deposit

“…The conditions given above on AB are used to reduce the unknowns there to ψ p , ψ' f and ω f by using equation (19) to express ψ f in terms of ψ p , equation (22) to express ω' f in terms of ψ' p and equation (26) to express ψ' p in terms of ψ' f , ω f and ψ p Considering equation (16), this can be written as:…”

“…The dendritic structures which form on the fibre surface were modelled by Payatakes and colleagues, Payatakes et al 21 , Payatakes and Gradon 22 however these models are limited due to the neglect of the effects of the dendrite upon the flow field. Other studies which attempt to take into account the change in the flow field due to the particle deposit are restricted due to their considerable use of computing time and resources, see Jung and Tien 23 , Biggs et al 24 , Karadimos and Ocone 25 and Przekop et al 26 .…”

Numerical investigation into the loading behaviour of filters operating in the diffusional and interception deposition regimes

“…This approach although primarily considering a single fibre, takes into account the effects of the neighbouring fibres and is described in more detail in the following section. Many different numerical approaches have been adopted to solve the flow equations including the Boundary Element Method (BEM), see for example Hildyard et al (1985) and Konstandopoulos (2000), the control volume method, see for example Li and Marshall (2007) and Qian et al (2009) and the lattice-Boltzmann approach, Filippova and Hanel (1997) and Przekop et al (2003). Once the flow field is determined the movement of particles within the filter and their possible removal by the fibres can be investigated.…”

“…As particles collect on the fibre surface, due to their finite size they also become part of the filter structure and hence affect its efficiency. Numerical simulations of such deposit are limited due to their considerable use of computing time and resources, see Jung and Tien (1993) , Biggs et al (2003) , Karadimos and Ocone (2003) and Przekop et al (2003).…”