Viscous force — An important parameter for the modeling of deep bed filtration in liquid media

• Particle/collector interactions in a liquid media are affected by the viscous force.
• The viscous force reduces the impact efficiency of suspended particles significantly.
• The proposed approach allows the prediction of the filtration efficiency.
• The viscous force should be considered in future numerical simulation codes.

Deep bed filtration of liquid media is a unit process step with a wide range of applications. For the description of both the impact and the adhesion probability of particles many publications and theories are available. This paper investigates in detail the influence of the viscous force theory in combination with the roughness of participating solids on the filtration process. The proposed model illustrates the necessity of including the energy dissipation by the disjoining liquid film in the modeling of deep bed filtration processes. Furthermore, the model can be used in order to estimate the influence of roughness, particle size and viscosity on the probability of particle impact and adhesion.

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