Problem 1: Pump Input Power

A pump delivers $50\text{ L/s}$ of water against a $30\text{ m}$ static head and $10\text{ m}$ of system loss. Pump efficiency is $75\%$. Determine water power and shaft input power.

Problem 2: Pump Efficiency from Test Data

A pump delivers $0.080\text{ m}^3/\text{s}$ against $25\text{ m}$ head while drawing $30\text{ kW}$ shaft power. Determine pump efficiency.

Problem 3: Two Identical Pumps in Series

Each pump has characteristic $H=40-0.010Q^2$, where $H$ is in meters and $Q$ in $\text{L/s}$. The system curve is $H_s=20+0.015Q^2$. Determine the operating point when two pumps operate in series.

Problem 4: Two Identical Pumps in Parallel

Each pump has characteristic $H=50-0.020q^2$, where $q$ is one-pump discharge in $\text{L/s}$. The system curve is $H_s=10+0.010Q^2$, where $Q$ is total discharge. Determine the parallel operating point.

Problem 5: Turbine Output Power

A turbine receives $3.0\text{ m}^3/\text{s}$ of water under a net head of $40\text{ m}$. Overall efficiency is $90\%$. Determine output power.

Problem 6: Pump Specific Speed

A pump operates at $1450\text{ rpm}$, discharge $0.10\text{ m}^3/\text{s}$, and head $30\text{ m}$ at its best-efficiency point. Calculate metric pump specific speed

Problem 7: Net Positive Suction Head Available

A pump draws water from an open reservoir. Atmospheric pressure head is $10.3\text{ m}$ of water, vapor-pressure head is $0.24\text{ m}$, the pump centerline is $3.0\text{ m}$ above the reservoir surface, and suction-line loss is $1.2\text{ m}$. Determine $NPSH_A$ and compare it with $NPSH_R=4.2\text{ m}$.

Problem 8: Pump Affinity Laws

At $1200\text{ rpm}$, a geometrically unchanged pump delivers $0.050\text{ m}^3/\text{s}$ at $20\text{ m}$ head and requires $15\text{ kW}$. Estimate performance at $1500\text{ rpm}$.