N

The final functional relationship is aP

But, AP = yH, where H is TDH, the total developed head. Because y = Pg, substituting in Equation (4.28) produces ft =

HgI(œ D ) is called the head coefficient, CH, while Q/(œD ) is called the flow coefficient, CQ. Because no one pump was chosen in the derivation, the equation is general. For any number of pumps a, b, c,...,n and using Equations (4.28) and (4.29), the relationships next follow:

Hag

Hibg

œaDa

œnDn

Qa

Qb

Qn

œaD3a

œbDb

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