Hydraulic Machinery

Machines that convert fluid energy into mechanical energy (turbines) or mechanical energy into fluid energy (pumps).

Pumps

Power Input ($P_{in}$): Power supplied to the pump shaft (Brake Horsepower). Power Output ($P_{out}$): Power delivered to the fluid (Water Horsepower).

$P_{out} = \gamma Q H$

• $H$ = Total dynamic head (Static lift + Friction + Velocity head)

Efficiency ($\eta$): $\eta = \frac{P_{out}}{P_{in}}$

Turbines

Extract energy from fluid. Power Output: $P = \gamma Q H \eta$

Specific Speed ($N_s$)

A dimensionless parameter used to classify pumps and turbines. $N_s = \frac{N \sqrt{Q}}{H^{3/4}}$

Solved Problems