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The effect of the volume fraction of the fibers in fibrous air filters on the collection efficiency of a single fiber has been examined both theoretically and experimentally in the inertia predominant region. Numerical solutions have been obtained for the flow around a circular cylinder in a cell determined by the volume fraction of the fibers for a Reynolds number of 10 and the potential flow. Particle trajectories have been calculated in the cell by introducing the above numerical values into the equations of particle motion. As a result, the inertia-interception efficiency was evaluated through four parameters; inertia parameter, interception parameter, Reynolds number and volume fraction. Experimental data on model filters, which are made of a uniform parallel arrangement of wires orientated at right angles to the flow direction have shown good agreement with the calculation results in the intermediate Reynolds numbers region.
Emi et al. (Sat,) studied this question.