Question

Find the smallest diameter particulate (ρ_p = 1700 kg/m³) to be collected with 50% efficiency in a 16 cm radius cyclone that has dimensions of L₁=2 m, L₂ = 1m, and H = 35 cm. The air enters at 20^oC, 1 atm, and the gas velocity in the cyclone is 2 m/s.

Answer 1

Given

L₁= 2m

L₂= 1m

H= 0.35

air dynamic viscosity at 20 ^oC = 1.825×10-5 kg·m⁻¹·s⁻¹

air density at 20 ^oC = 1.204 kg/m³

Number of turns inside the device

  N=7.142

smallest diameter is given at 50% efficiency as

  

  

D_p=13.13 μm

So the smallest particle diameter will be 13.13 micrometer.