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Fan Law or fan affinity law are used to driving the dependent parameter based on the change of the corresponding parameter of the fan.
It includes parameter Like Fan diameter, Fan RPM, Fan air flow, Fan Pressure, Air Density, And Temperature.

Following is the formula of interdependency –

Change in fans airflow : (Qf / Qi) = (pf / pi)1/2= (kWf / kWi)1/3 = (Nf / Ni) = (df / di)3 = (ρf / ρi)1/2 = (Ti / Tf)

Change in static pressure : (pf / pi) = (Qf / Qi)2 = (kWf / kWi)2/3 = (Nf / Ni)2 = (df / di)2 = (ρf / ρi) = (Ti/Tf)

calculate required fan RPM: (Nf / Ni) = (Qf / Qi) = (pf / pi)1/2 = (kWf / kWi)1/3

Online calculation of the same is provided on this page.