Particle Collection Efficiency
I want to determine particle (say dust) collection efficiency in a fibrous filter media. I have previously run particle tracking simulations using the lagrangian approach with oneway coupling between particle and fluid (air) and coefficient of restitution equal to 1. However, based on the theories of particle deposition, I want to include drag force as well as brownian diffusion. I am therefore debating between lagrangian and eulereuler approach. I have not used the eulereuler approach before, so any pointers will be immensely helpful.
Thanks 
To confirm  you want to have a filter which removes particles from the air, the particles have a Brownian motion applied to them and as the particles accumulate in the filter you want to increase the flow resistance of the filter?

Thanks Glenn.
Yes, you have summarized my problem well. I however, want to start with a steady state simulation and then move on to the more complicated problem of increasing flow resistance with increasing particle accumulation. I read your comments in the thread "accumulating dust on a filter cartridge" and I did understand the general idea about running a series of steady state simulation. My first hurdle is to run a steady state simulation. 
Yes, that thread is my recommendations. Be aware that if you put random Brownian motion on the particles it will be difficult to achieve steady state convergence, for exactly the same reasons as turbulence dispersion.
Just a thought  if your particles are so small that Brownian motion is important then won't the particles just follow the streamlines, except for a small amount of dispersion from the Brownian motion? In that case a Eularian approach would make sense and you model the Brownian motion with a diffusivity. Whether this approach is valid will depend on many issues  I won't list them as hopefully you know when a Eularian approach makes sense. 
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