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Writer's pictureRaghav Prasad Dubey

FAN LAWS

Updated: Jul 31, 2021

FAN LAWS

The fan laws are a set of proportionalities relating each of the following parameters of airflow with fan speed (n), air density (ρ) and impeller diameter (d).

o Air pressure (p)
o Airflow quantity (Q)
o Power developed (Ppow)

Through extensive experimentation and derivation the following direct proportionalities have been arrived.

For varying speed but with constant air density and impeller diameter :

- Quantity varies directly as the speed

- Pressure varies as the square of the speed

- Power varies as the cube of the speed

- Efficiency is constant

For varying density but with constant speed and impeller diameter :

- Quantity remains constant

- Pressure varies directly as the density

- Power varies directly as the density

- Efficiency is constant

For varying impeller diameter but with constant speed and airdensity :

- Quantity varies as the cube of the impeller diameter

- Pressure varies as the square of the impeller diameter

- Power varies as the fifth power of the impeller diameter

- Efficiency is constant.

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