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Anonymous
Mar 24

Derivation of centrifugal pump formula?

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Mar 24
The formula for the head developed by a centrifugal pump can be derived from the basic principles of fluid mechanics and the energy equation.

The head developed by a centrifugal pump is given by the equation:

H = (P2 - P1) / (ρg) + (V2^2 - V1^2) / (2g) + Z2 - Z1

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.
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