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newSchoolWorks.com › VoTechWorks › Agriculture, Environment & Public Service › Water / Wastewater Operator › Pumps & Distribution Systems › Lesson 3
AGR-WATE71-04 · Lesson 3 · 10.5 clock hours · demo

Reading and Applying Pump Curves

Objective. Students overlay a pump curve and a system curve to determine the operating point and predict the effect of impeller trimming or parallel pump operation.

⚠ Pending professional review

This lesson, its worked examples and its practice questions has not yet been verified by a licensed professional in the field or by a certification or approval body. It is a study draft and may contain errors. Do not use it as instructions for work on a job site or on live equipment. Always follow your instructor, your supervising professional, and current official references and regulations.

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Why Pump Curves Matter

Every pump installed in a water or wastewater system has a unique performance signature described by its pump curve — a graph published by the manufacturer. Without understanding that curve, an operator cannot predict whether the pump will deliver the right flow, run efficiently, or avoid damage. State licensing exams for Class I and Class II Water and Wastewater Operators regularly test this knowledge because choosing or operating the wrong pump wastes energy, shortens equipment life, and can leave customers without adequate pressure or flow.

Anatomy of a Pump Performance Curve

A standard manufacturer's pump curve plots several pieces of information on one chart:

Always check the pump speed (rpm) printed on the curve. Curves shift with speed changes.

Building and Understanding the System Curve

The system curve represents how much head the piping network demands at each possible flow rate. It is not a property of the pump — it belongs to the pipes, fittings, valves, tanks, and elevation changes between suction and discharge.

System head has two components:

1. Static head: The fixed elevation difference between suction surface and discharge point, plus any constant pressure requirement (such as a storage tank kept at a set level). Static head does not change with flow.

2. Friction head: Head lost to pipe wall friction and fittings. Friction loss increases roughly with the square of flow velocity, so doubling flow approximately quadruples friction loss. Calculate friction using the Hazen-Williams equation or from pipe friction tables.

To build a system curve, choose four or more flow rates, calculate friction head at each using your pipe data, add static head, and plot the resulting TDH values. Connect the points — you will see a curve that rises steeply as flow increases.

Finding the Operating Point

When you draw both curves on the same graph, the operating point is where the pump curve and system curve intersect. At that single point, the head the pump produces equals the head the system demands, so flow and head are stable. Read across to the Y-axis for operating TDH and down to the X-axis for operating flow, then transfer those values to the efficiency and NPSHr curves to confirm the pump is running close to BEP and that NPSHa > NPSHr.

If the operating point sits far to the left of BEP, the pump is over-performing in head and under-performing in flow — it may surge or overheat. Far to the right of BEP, the pump is running in an overloaded region and may draw excessive power.

Effect of System Changes: New Subdivision Scenario

When a new subdivision connects to the distribution main, static head may rise (higher service elevation) and friction losses increase (more pipe length, more demand). The system curve shifts upward and to the left. Replot the new system curve and find the new intersection with the pump curve. If it falls below the minimum required flow or if the required TDH exceeds the pump's shut-off head, the pump cannot meet demand.

Parallel Pump Operation

Adding a second identical pump in parallel means both pumps share the same suction and discharge headers. To draw the combined curve, add the flow rates at each common head value — at any given TDH, flow doubles. The head values do not add; head stays the same while flow capacity increases. Plot this combined curve against the (new, higher) system curve to find the new operating point. Because the system curve is steep, adding a parallel pump rarely doubles flow — the gain is real but less than 100%. Confirm NPSHr remains satisfied for each pump under the new shared flow.

Impeller Trimming

Trimming (machining down) the impeller diameter lowers the pump curve. The affinity laws state that at constant speed, flow varies directly with impeller diameter, head varies with the square of diameter, and power varies with the cube of diameter. Trimming is a permanent, cost-effective way to shift the operating point toward BEP when a pump is oversized for the system.

Safety Considerations

Key terms8

Total Dynamic Head (TDH)The total head a pump must produce, equal to the sum of static head, friction losses, and minor losses in the piping system; expressed in feet of water.
Best Efficiency Point (BEP)The flow rate and head at which a pump operates at its highest hydraulic efficiency; the manufacturer designs the impeller around this point.
System CurveA plot of the total head required by the piping network at various flow rates; it combines fixed static head and flow-dependent friction losses.
Operating PointThe intersection of the pump curve and the system curve; the single flow rate and head at which supply and demand are balanced under steady conditions.
Net Positive Suction Head Required (NPSHr)The minimum pressure energy (in feet) that must exist at the pump inlet to prevent cavitation; published by the manufacturer on the pump curve.
CavitationThe formation and violent collapse of vapor bubbles inside a pump caused by insufficient suction pressure; it erodes impellers and causes noise and vibration.
Parallel Pump OperationConnecting two or more pumps so they share the same suction and discharge; the combined curve is constructed by adding flows at each common head value.
Impeller TrimmingMachining the outer diameter of an impeller to reduce its pump curve, lowering head and flow at any given speed; used to match the pump to a system without excessive energy use.

Worked examples4

1. A pump curve shows TDH = 120 ft at Q = 400 gpm and TDH = 90 ft at Q = 600 gpm. A system curve passes through TDH = 70 ft at Q = 400 gpm and TDH = 90 ft at Q = 600 gpm. What is the operating point?
  1. Step 1 — Plot both curves on the same axes (flow on x-axis, TDH on y-axis).
  2. Step 2 — At Q = 400 gpm: pump TDH = 120 ft, system TDH = 70 ft. Pump exceeds system demand — flow will increase.
  3. Step 3 — At Q = 600 gpm: pump TDH = 90 ft, system TDH = 90 ft. The two curves are equal — this is the intersection.
  4. Step 4 — Confirm: at 600 gpm the pump provides exactly the head the system requires, so the operating point is Q = 600 gpm, TDH = 90 ft.
Answer: Operating point: Q = 600 gpm, TDH = 90 ft.
2. A system has a static head of 50 ft. Friction loss at 200 gpm = 10 ft; at 400 gpm = 40 ft; at 600 gpm = 90 ft. Calculate the system TDH at each flow rate.
  1. Step 1 — System TDH = Static head + Friction head at each flow.
  2. Step 2 — At 200 gpm: TDH = 50 + 10 = 60 ft.
  3. Step 3 — At 400 gpm: TDH = 50 + 40 = 90 ft.
  4. Step 4 — At 600 gpm: TDH = 50 + 90 = 140 ft.
  5. Step 5 — Plot these three points (plus the zero-flow point at 50 ft static head) and connect them to form the system curve.
Answer: System TDH: 60 ft at 200 gpm; 90 ft at 400 gpm; 140 ft at 600 gpm.
3. Two identical pumps, each producing Q = 500 gpm at TDH = 80 ft (their operating point on the original system curve), are now run in parallel against the same system curve. The system curve gives TDH = 80 ft at 500 gpm and TDH = 95 ft at 900 gpm. A combined pump curve point at TDH = 80 ft is 1000 gpm (double the single-pump flow). The new combined curve intersects the system curve at approximately TDH = 95 ft and Q = 900 gpm. What is the new operating point, and what is each pump's individual flow contribution?
  1. Step 1 — Build the combined curve by doubling flow at each TDH: at TDH = 80 ft, combined Q = 2 × 500 = 1000 gpm.
  2. Step 2 — Find where the combined curve meets the system curve. The system curve reaches TDH = 95 ft at Q = 900 gpm; the combined pump curve also produces TDH = 95 ft at approximately Q = 900 gpm (given in the problem data).
  3. Step 3 — The new operating point is Q = 900 gpm total, TDH = 95 ft.
  4. Step 4 — Because the pumps are identical and in parallel, each carries half the total flow: 900 ÷ 2 = 450 gpm per pump.
  5. Step 5 — Note that total flow increased from 500 gpm (single pump) to 900 gpm — an 80% gain, not 100%, because the steeper system head at higher flow limits the benefit.
Answer: New operating point: 900 gpm total at 95 ft TDH; each pump delivers 450 gpm.
4. An impeller is trimmed so its diameter decreases by 10%. Using the affinity laws, estimate the new TDH if the original TDH at BEP was 100 ft.
  1. Step 1 — Affinity law for head with impeller diameter at constant speed: H2/H1 = (D2/D1)².
  2. Step 2 — D2 = 0.90 × D1, so D2/D1 = 0.90.
  3. Step 3 — H2 = H1 × (0.90)² = 100 × 0.81 = 81 ft.
  4. Step 4 — The trimmed impeller produces approximately 81 ft of TDH at the original BEP flow region — a 19% reduction in head.
Answer: New TDH ≈ 81 ft after a 10% impeller diameter reduction.

The math in this lesson2

Learners read head versus flow from pump and system curve tables and graphs.
F-IF.4A-REI.11
Brush up in the math halls at newSchoolWorks.com:
In class: Instructor demonstrates how to read a manufacturer's pump performance curve: flow on the x-axis, total dynamic head on the y-axis, efficiency curve, and NPSH required; students reproduce the curve on graph paper from raw data provided. · Guided practice: students construct a system curve for a hypothetical distribution branch by summing static head and friction losses at four flow rates, then plot it against the pump curve to find the operating point and read off efficiency and power draw. · Scenario exercise: the system head increases due to a new subdivision; students graphically determine whether the existing pump can still meet demand, and then evaluate the effect of adding a second identical pump in parallel—recalculate combined curve and new operating point.
Materials: Manufacturer pump performance data sheets, graph paper or spreadsheet software, scientific calculators, sample system design drawings, AWWA Water Distribution Operator Training Handbook
Check: Students submit their completed pump/system curve graph with operating point identified and labeled; instructor checks that the plotted operating point is within ±5% of the correct answer and that efficiency and NPSH adequacy are noted; pass mark is 75%.

Practice check8

Answer each question, then check it. Nothing is recorded; this is your own practice.

Pumps and Hydraulics
1. On a manufacturer's pump performance curve, the x-axis represents:
Pumps and Hydraulics
2. The operating point of a pump in a distribution system is defined as:
Hydraulics and System Design
3. A system curve rises steeply because:
Pumps and Hydraulics
4. When a second identical pump is added in parallel, the combined pump curve is constructed by:
Pump Operation and Maintenance
5. An operator hears a rattling, crackling noise from a centrifugal pump and notices suction gauge readings have dropped. The most likely cause is:
Pumps and Hydraulics
6. An impeller is trimmed so that its diameter decreases from 10 inches to 9 inches. Using the affinity laws, the new TDH as a fraction of the original TDH is approximately:
Safety and Regulatory Compliance
7. Before physically inspecting inside a pump casing, an operator must FIRST:
Distribution System Operation
8. A new subdivision causes the system head to increase. When the system curve is replotted, the new operating point compared with the original will generally show:
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