Interpretation: The theoretical power required by the fan is to be determined.
Concept introduction: The power required by the fan is the amount of energy required to increase the pressure for a given amount of fluid. The power required is calculated as,
The notations used here are,
P = Power developed by the fan
Q = Flow rate by the duct
H = Total head developed by the fan
The density of the fluid can be given as,
In the equation (2), notations used are,
P is the pressure at which gas enters
M is the molecular weight of gas
R is the Universal Gas constant
T is the temperature at which gas enters
The Reynolds number is given as,
The notations used here are,
D = Diameter of duct
Due to presence of friction, there are some frictional losses in the duct and the head developed due to this friction is frictional head.
The head developed due to this friction is given as,
f = Fanning friction factor
hf = Frictional head developed
L = Length of the duct
The roughness parameter is given as,
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Unit Operations of Chemical Engineering
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