A filter bed of glass fibers (D. = 15 m, the bed depth B = 10...

 

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A filter bed of glass fibers (D. = 15 µm, the bed depth B = 10 cm, and packing density a = 0.03) %3D is being used to sterilize air (20°C, 1 atm) with an undisturbed upstream velocity, u. of 10 cm /s. The air stream contains 5,000 bacteria per cubic meter (dp = 1u and p, = 1 g/cm a. Estimate the single fiber collection efficiency by inertial impaction, by interception, and by diffusion. b. Estimate the single fiber collection efficiency based on combined mechanism. c. Estimate the collection efficiency (n .) of the filter bed. d. Show how the superficial velocity u. affects the various single fiber collection efficiencies. The following correlations may be used 2 (Mean free path) = ) Mw = 29 C (Cunningham factor) = 1+ [ 1.257 + 0.04 exp (-1.10 )] DBr (Diffusivity due to Brownian motion) = Nimp 0.075 Nst 12 where Nst %3D A filter bed of glass fibers (D. = 15 µm, the bed depth B = 10 cm, and packing density a = 0.03) %3D is being used to sterilize air (20°C, 1 atm) with an undisturbed upstream velocity, u. of 10 cm /s. The air stream contains 5,000 bacteria per cubic meter (dp = 1u and p, = 1 g/cm a. Estimate the single fiber collection efficiency by inertial impaction, by interception, and by diffusion. b. Estimate the single fiber collection efficiency based on combined mechanism. c. Estimate the collection efficiency (n .) of the filter bed. d. Show how the superficial velocity u. affects the various single fiber collection efficiencies. The following correlations may be used 2 (Mean free path) = ) Mw = 29 C (Cunningham factor) = 1+ [ 1.257 + 0.04 exp (-1.10 )] DBr (Diffusivity due to Brownian motion) = Nimp 0.075 Nst 12 where Nst %3D

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