Concept explainers
The diameter of cyclone at various air flow rates.

Answer to Problem 5.6P
The diameter of cyclone at different air flow rate is classified into a table below.
Terminal velocity |
Diameter of the Cyclone |
Explanation of Solution
Calculation:
Write the expression for pressure changes in the cyclone.
Here, the change of pressure is
Calculate the tangential velocity at radius
Here, the rotational velocity is
Write the expression for pressure drop in the cyclone.
Substitute
Write the expression for the terminal velocity.
Substitute
Here, the diameter of the cyclone is
Convert
Substitute
Calculate the diameter at an air flow rate of
Substitute
Solve for the value of
Calculate the diameter at an air flow rate of
Substitute
Solve for the value of
Calculate the diameter at an air flow rate of
Substitute
Solve for the value of
Calculate the diameter at an air flow rate of
Substitute
Solve for the value of
Calculate the diameter at an air flow rate of
Substitute
Solve for the value of
Calculate the diameter at an air flow rate of
Substitute
Solve for the value of
Calculate the diameter at an air flow rate of
Substitute
Solve for the value of
Classify the calculated data.
Terminal velocity |
Diameter of the Cyclone |
Conclusion:
Thus, the diameter at different air flow rate is classified into a table below.
Terminal velocity |
Diameter of the Cyclone |
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