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Solutions to tutorial problems from the university of western ontario's department of chemical and biochemical engineering air pollution course (cbe 4405 / cbe 9312). The problems involve calculating terminal settling velocities for spherical particles and the efficiency of gravity settlers and cyclones separators using stokes law.
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The University of Western Ontario
Faculty of Engineering
Department of Chemical and Biochemical Engineering
Air Pollution (CBE 4405 / CBE 9312)
Tutorial # 04
Problem – 1
A spherical particle with specific gravity 4 is settling in air, calculate the terminal settling
velocity for those cases: (assume density of air is 1.2 kg/m
3
and the viscosity of air is 1.8x
m
2
/s)
i) Diameter of particles = 1 μm. (0.01μ -100 μ) “acceptable range for stokes law”
ii) Diameter of particles =0.005 μm. (Assume λ = 0.07)
Solution:
i)
− 12
− 5
− 4
m /sec
ii) D=0.
μ , very small.
d
stoke
− 6
2
− 5
− 9
m /sec
d
stoke
m/s
Problem – 2
Two particles A&B are released in air at the same time, what is the ratio of settling velocity of
particle A to that of particle B if the diameter of particle A is 10 μ, and for particle B is 1.00 μ, if
they have the same density.
Solution:
A
B
A
2
B
2
Problem - 4
Compute the efficiency (block and mixed) for a cyclone separator that has:
w i = 0.5 ft v c = 60 ft/s N = 5
o
= 2 ft D = 3 μm ρ p
= 125 lb/ft
3
μ = 1.21 x
Solution:
b
− 6
2
− 5
m
− η b