The equation for calculating pump horsepower (Hp) is derived as follows: Hp = Q(gpm) * Δp(psi) / 1714, where Q represents the volumetric flow rate in gallons per minute and Δp denotes the pressure in psi. The derivation involves converting horsepower to foot-pounds per minute and accounting for the weight of water, where 1 gallon of water equals 8.33 pounds. The relationship between pump head (H) and pressure is established using the formula Δp = H * 144 in²/ft² / 62.4 lbs/ft, leading to the final equation for horsepower.
PREREQUISITESEngineers, mechanical designers, and anyone involved in the design or analysis of pumping systems will benefit from this discussion, particularly those focused on optimizing pump performance and efficiency calculations.
mhzq007 said:hi everyone can anyone please give me a clue of how to derive this equation
Hp= Q(gpm)* Δp(psi)/1714
Q is volumetric flow rate
Δp is pressure