Aerosol Dynamics in Porous Media
نویسنده
چکیده
In this chapter we present a new method for simulating the motion of a disperse particle phase in a carrier gas through porous media. We assume a sufficiently dilute particle-laden flow and compute, independently of the disperse phase, the steady laminar fluid velocity using the Immersed Boundary (IB) method. Given the velocity of the carrier gas, the equations of motion for the particles experiencing the Stokes drag force are solved to determine their trajectories. The ‘no-slip consistent’ particle tracking algorithm avoids possible numerical filtration of very small particles due to the non-zero velocity field at the solid-fluid interface introduced by the IB method. This physically consistent tracking allows a reliable estimation of the filtration efficiency of porous filters due to inertial impaction. We illustrate and test our new approach for model porous media consisting of a structured array of aligned rectangular fibers, arranged in-line and staggered. In the staggered geometry the effect of the residual velocity at the solid-fluid interface is significant for particles with low inertia. Without adopting the developed ‘no-slip consistent’ numerical method, an artificial numerical filtration is observed, which becomes dominant for small enough particles. For both This chapter was published as: Ghazaryan, L., Lopez Penha, D.J., Stolz, S., Kuczaj, A.K., Geurts, B.J.: 2013. No-slip consistent immersed boundary particle tracking to simulate impaction filtration in porous media, International Journal for Numerical Methods in Fluids, 73 (7), 615-636
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