8. A depth filter has been converted to an idealized model and can be described
ID: 702478 • Letter: 8
Question
8. A depth filter has been converted to an idealized model and can be described mathematically. The target efficiency of one individual fiber is 30% Each row of fibers has collection fibers spaced 6 fiber diameters apart as measured center to center. (Hint: calculate the percentage of open and closed area). In other words, each fiber has a diameter de and the fibers are spaced 6 dp apart, center to center. Now, the overall filter can be described as 30 such sets of these individual screens in series, each perpendicular to the flow. Determine the overall collection efficiencyExplanation / Answer
Overall efficiency = 1-?(1-each fibre efficiency)
Each fibre efficiency=30%=.3
Number of fibre = 30
=> Overall efficiency= 1-(1-.3)^30=99.99%
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