ESP for fine particle penetration

AI Thread Summary
The discussion focuses on calculating individual percent penetrations for three particle sizes (10 micron, 7 micron, and 3 micron) in a gas stream passing through an Electrostatic Precipitator (ESP). The particles have the same density and weight concentration, with an overall penetration rate of 0.05. The Dutch-Anderson equation is used to determine penetration based on collection area, volumetric flow, and drift velocity. The calculated drift velocities for the particles are 0.33 m/s for 10 microns, 0.23 m/s for 7 microns, and 0.1 m/s for 3 microns. The user expresses confusion about the next steps in calculating the individual percent penetrations.
pippazzo
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a gas stream has particles of three sizes, 10 micron, 7 micron and 3 micron. The particle density is the same for all three sizes as well as the weight concentration (0.33333). This gas passes through an ESP that obeys Dutch-Anderson equation arranged for the penetration:

p=exp^(-Aw/Q) where p is the penetration, A the collection area, Q the volumetric flow and w the drift velocity.

If the overall penetration is 0.05 What are the individual percent penetrations for each of the three sizes?

I'm really lost in the approach...
 
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i just found the 3 velocities so far: 10 micron → 0.33m/s 7micron→ 0.23m/s 3micron→ 0.1m/s
 

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