Where: H = Total head developed by the pump (m) P2 = Pressure at the outlet of the pump (Pa) P1 = Pressure at the inlet of the pump (Pa) ρ = Density of the fluid being pumped (kg/m^3) g = Acceleration due to gravity (m/s^2) V2 = Velocity at the outlet of the pump (m/s) V1 = Velocity at the inlet of the pump (m/s) Z2 = Elevation of the outlet of the pump (m) Z1 = Elevation of the inlet of the pump (m)
By simplifying the equation and assuming that the pump is operating at a constant speed and the fluid is incompressible, the formula for the head developed by a centrifugal pump can be expressed as:
H = (P2 - P1) / (ρg) + V2^2 / (2g) + Z2 - Z1
This formula is commonly used to calculate the head developed by a centrifugal pump and is essential for determining the performance of the pump in various applications.