The efficiency of a cyclone separator increases with a/an
- AIncrease in particle diameter.Correct
- BIncrease in cyclone body diameter.
- CDecrease in gas inlet velocity.
- DIncrease in gas temperature.
Solution
Concept
Cyclone separator particulate collection efficiency
Formula
dpc = √(9 × μ × b / (2 × π × Ne × vi × (ρp - ρ)))
Step-by-step solution
1. Cyclone separators collect dust particles using centrifugal force generated by tangential gas flow: Fc = m × v2 / r. 2. Centrifugal force increases with particle mass (proportional to particle diameter cubed). 3. Larger particles experience greater outward force, crossing streamlines faster to strike the outer wall and settle. 4. Therefore, cyclone efficiency increases with an increase in particle diameter. Answer: A
Explanation
The collection efficiency of a cyclone separator is directly related to the centrifugal force exerted on incoming particles, which is directly proportional to particle mass and diameter. Larger particles experience greater outward centrifugal acceleration, causing them to move radially to the outer wall and settle into the hopper more effectively than smaller dust particles.
Why the other options are wrong
B) Increasing cyclone body diameter decreases centrifugal acceleration (v2/r), reducing collection efficiency. C) Decreasing gas inlet velocity lowers tangential speed and centrifugal force, reducing efficiency. D) Higher gas temperature increases gas viscosity, raising aerodynamic drag and lowering efficiency.
Shortcut
Cyclone efficiency increases with: larger particle diameter, higher inlet velocity, smaller cyclone radius, and lower gas viscosity.
Common mistake
Thinking larger cyclone body diameters increase efficiency when they actually decrease centrifugal acceleration.
Correct answer: A) Increase in particle diameter.