Question:
The separation efficiency of cyclone separator is inversely related to its
The separation efficiency of cyclone separator is inversely related to its
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Cyclone Separator Efficiency: Efficiency is INVERSELY RELATED TO CYCLONE DIAMETER ($E \propto 1/D$). Smaller diameter cyclones give higher centrifugal force and higher collection efficiency.
Updated On: Sep 15, 2026
- Diameter
- Square of diameter
- Square root of its diameter
- Length of cyclone separator
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept:
Centrifugal gas-solid particle separation physics in cyclone dust collectors: the cut diameter ($d_{pc}$) is proportional to the square root of cyclone diameter ($d_{pc} \propto \sqrt{D_c}$), meaning collection efficiency increases as cyclone diameter decreases (efficiency is inversely related to Diameter).
Key Formula or Approach:
\[ d_{pc} = \sqrt{\frac{9 \mu W}{2 \pi N_e v_i (\rho_p - \rho_g)}} \propto \sqrt{\mathbf{D_{\text{cyclone}}}} \quad \implies \quad \mathbf{Separation \text{ } Efficiency} \propto \frac{1}{\mathbf{Diameter \text{ } (D_c)}} \]
Step 2: Detailed Explanation:
In dairy powder recovery engineering and cyclone separator fluid dynamics:
- A cyclone separator uses centrifugal force generated by tangential gas entry to separate entrained milk powder particles from drying exhaust air:
1. The centrifugal force acting on a particle is $F_c = \frac{m v^2}{r} = \frac{2 m v^2}{D_c}$.
2. Smaller Cyclone Diameter ($D_c$): Generates a much tighter vortex radius ($r$), resulting in a vastly higher centrifugal acceleration ($G = \frac{v^2}{r \cdot g}$) that separates smaller fine particles.
3. Larger Cyclone Diameter: Reduces centrifugal acceleration and increases the cut size ($d_{pc}$), allowing more powder fines to escape in the exhaust.
4. Therefore, the Separation efficiency of a cyclone separator is inversely related to its Diameter (A) (which is why multiple small-diameter cyclones [multicyclones] are used in parallel rather than one massive single cyclone).
Step 3: Final Answer:
Therefore, separation efficiency is inversely related to its Diameter, corresponding to option (A).
Centrifugal gas-solid particle separation physics in cyclone dust collectors: the cut diameter ($d_{pc}$) is proportional to the square root of cyclone diameter ($d_{pc} \propto \sqrt{D_c}$), meaning collection efficiency increases as cyclone diameter decreases (efficiency is inversely related to Diameter).
Key Formula or Approach:
\[ d_{pc} = \sqrt{\frac{9 \mu W}{2 \pi N_e v_i (\rho_p - \rho_g)}} \propto \sqrt{\mathbf{D_{\text{cyclone}}}} \quad \implies \quad \mathbf{Separation \text{ } Efficiency} \propto \frac{1}{\mathbf{Diameter \text{ } (D_c)}} \]
Step 2: Detailed Explanation:
In dairy powder recovery engineering and cyclone separator fluid dynamics:
- A cyclone separator uses centrifugal force generated by tangential gas entry to separate entrained milk powder particles from drying exhaust air:
1. The centrifugal force acting on a particle is $F_c = \frac{m v^2}{r} = \frac{2 m v^2}{D_c}$.
2. Smaller Cyclone Diameter ($D_c$): Generates a much tighter vortex radius ($r$), resulting in a vastly higher centrifugal acceleration ($G = \frac{v^2}{r \cdot g}$) that separates smaller fine particles.
3. Larger Cyclone Diameter: Reduces centrifugal acceleration and increases the cut size ($d_{pc}$), allowing more powder fines to escape in the exhaust.
4. Therefore, the Separation efficiency of a cyclone separator is inversely related to its Diameter (A) (which is why multiple small-diameter cyclones [multicyclones] are used in parallel rather than one massive single cyclone).
Step 3: Final Answer:
Therefore, separation efficiency is inversely related to its Diameter, corresponding to option (A).
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