Calculate the horsepower of an industrial fan that delivers

Calculate the horsepower of an industrial fan that delivers 25.98 m^3/s of air through a 0.915 m x 1.22 m outlet. Static pressure is 127 mm of water. Air temperature is 21 degre celsius and the barometric pressure is 700 mm mercury.

Solution

Assuming 100% fan efficieny

Power (in hp) = volumetric flow rate (m3/s)*(Pressure diff. static in mmWC)/ (102*0.746)

= 25.98*(700-127)/(102*0.746)

= 195.63 hp