A manufacturer curve sheet is four families of information stacked on one chart — head, efficiency, power and NPSHr — and every one of them must be read at the same flow. Most field failures traced back to “the pump” are really failures to read that sheet properly.

1 · What the curve sheet actually is

The performance curve in a pump datasheet is not a drawing — it is test data. The manufacturer ran the pump (or a homologous model of it) on a test rig, measured flow, head, power and suction performance, and plotted the results per the acceptance-test standards ISO 9906 or ANSI/HI 14.6. Three consequences follow immediately, and each one changes how you read the sheet:

The single discipline that prevents most errors Draw one vertical line at your duty flow and read everything on it: head from the H–Q curve of your trim, efficiency from the η curve, absorbed power from the P2 curve, and NPSHr from the suction curve. Mixing values read at different flows — BEP efficiency with duty-point head, for instance — is the most common and most expensive curve-reading mistake in the industry.

2 · The four families on one chart

A complete curve sheet stacks four relationships against the same flow axis. Each answers a different design question:

The four curve families and what each one decides.
CurveAxisDecidesTypical misreading
H–Q (one per trim)Head, mWhether the pump meets the duty; where it intersects the system curveReading the envelope or the wrong trim line
Efficiency η%Energy cost; how far the duty sits from BEPQuoting BEP efficiency at a non-BEP duty
Power P2kWMotor size — including at end of curve, not just at dutyForgetting it is plotted for water, SG = 1.0
NPSHr (NPSH3)mSuction safety, with margin — see the NPSH design guideTreating NPSHr as “safe” instead of “already cavitating 3%”

Two of these need a precise definition, because the names mislead:

P2 is shaft power — the mechanical power absorbed at the pump coupling, not the electrical power drawn from the wall (that is P1, larger by the motor and drive losses). It relates to the hydraulic power through the pump efficiency:

\[ P_2=\frac{\rho\, g\, Q\, H}{3.6\times 10^{6}\,\eta} \;\text{kW} \qquad (Q\ \text{in m}^3/\text{h},\ H\ \text{in m},\ \rho\ \text{in kg/m}^3) \]

NPSHr on the sheet is NPSH3 — by definition, the suction head at which the pump has already lost 3% of its head to cavitation. It is a test criterion, not a safety boundary. A pump operating with NPSH available exactly equal to NPSHr is cavitating by definition; HI 9.6.1 margins exist precisely because of this[4].

3 · Interactive: the curve-sheet explorer

The model below is a realistic medium-size water pump at 1,480 rpm with four impeller trims (430 / 410 / 390 / 370 mm). Move the duty flow and switch trims — the vertical line is the “read everything here” discipline made visible.

One flow, four readings — H, η, P2 and NPSHr on a single sheet
Solid blue = selected trim; faded blue = the rest of the family. Green = efficiency (right axis), amber = absorbed power P2 (far right axis), red dotted = NPSHr (left axis, metres). The shaded band is the POR (70–120% of BEP) for the selected trim.
430 / 410 / 390 / 370 mm. Watch BEP migrate left and NPSHr stay put.
The vertical line — read all four values at this one flow.
Head
50.3 m
Efficiency
85.1 %
Power P2
177 kW
NPSHr
4.4 m
% of BEP

Try this: hold the duty at 1,100 m³/h and trim down to 370 mm. Head and power fall — but NPSHr does not move, because trimming the outer diameter does nothing to the impeller eye. Then push the flow to 1,800 m³/h and watch NPSHr climb the steep right-hand wall while efficiency collapses.

4 · Worked example — reading one duty completely

Required duty: 1,000 m³/h at 45 m. On the family above, the full 430 mm impeller gives 52.0 m at 1,000 m³/h — too much. The 390 mm trim gives 41.4 m — too little. The 410 mm trim gives 46.5 m, slightly above the requirement: the correct selection (the surplus is absorbed as the duty point slides marginally up the system curve — never select a trim that falls short).

Now the vertical line at 1,000 m³/h on the 410 mm trim, reading all four families:

Complete reading at Q = 1,000 m³/h, 410 mm trim, 1,480 rpm.
QuantityValueDesign consequence
Head H46.5 mMeets the 45 m duty with a small surplus ✓
Efficiency η84.4%Duty sits at 94% of this trim's BEP (≈ 1,060 m³/h) — inside POR ✓
Power P2150 kWAt end of allowable region (120% BEP ≈ 1,272 m³/h): 175 kW
NPSHr (NPSH3)4.0 mWith HI margin ratio 1.3 → require NPSHa ≥ 5.2 m

The motor decision shows why the power family must be read across the whole operating region, not at one point: duty power is 150 kW, and the habitual “duty + 10%” rule suggests 165 kW. But if operation can ever reach the right-hand end of the allowable region, absorbed power reaches 175 kW. The next standard IEC rating, 200 kW, covers both — and the selection is documented as non-overloading across the AOR, not as a margin guess.

Why “end of curve” matters so much For low- and medium-specific-speed pumps, P2 rises continuously toward runout. Any future that lowers system resistance — a second main commissioned, a PRV failing open, a pipe break, even a generous head tolerance — slides the duty right and the power up. Motors tripping on overload during commissioning are very often a power curve read at the duty point only.

5 · The curve is a band, not a line — ISO 9906 grades

Acceptance standards define how far the delivered pump may deviate from the quoted curve. Under ISO 9906:2012 (harmonised with ANSI/HI 14.6), the common grades are[1,2]:

ISO 9906:2012 acceptance grades — tolerance on the guarantee point.
GradeFlow ΔQHead ΔHEfficiency ΔηTypical use
1B±4.5%±3%−3%Large / high-energy pumps, contractual efficiency
2B±8%±5%−5%Standard water & wastewater duty (the usual default)
3B±9%±7%−7%Small, mass-produced pumps

Grade 1U and 1E variants tighten this further (1U allows only positive tolerance; 1E adds a non-negative efficiency tolerance). The design consequence is rarely appreciated: on a flat pump curve, a −5% head tolerance at the duty head can shift the achieved flow by far more than 5% — exactly the geometry problem described in the system head curve article. If the process genuinely needs a minimum flow, specify the guarantee point and grade accordingly, and say so in the datasheet — “Grade 2B” silently accepted from the quotation is a decision, whether you made it or not.

6 · Speed & trim — using the affinity laws on the whole curve

Catalogue curves are printed for one speed. Run the pump on a VFD, or order a different trim, and the affinity laws scale the entire curve, point by point:

\[ \frac{Q_2}{Q_1}=\frac{N_2}{N_1} \qquad \frac{H_2}{H_1}=\left(\frac{N_2}{N_1}\right)^{\!2} \qquad \frac{P_2}{P_1}=\left(\frac{N_2}{N_1}\right)^{\!3} \]

Three corrections to the way these laws are commonly used:

7 · Interactive: speed correction against a real system

VFD speed scaling — why % speed is not % flow
The full-speed curve (dashed) scales down with speed; the duty point is the intersection with the system curve (red). The dotted green parabola through the origin is the BEP migration path — duty points on it keep the full-speed efficiency.
100% = 1,480 rpm. The whole curve scales, not one point.
At 0 m the system is pure friction — only then does % speed = % flow.
Duty flow
1500 m³/h
% of full-speed flow
100 %
Power P2
216 kW
% of full-speed power
100 %
No-flow speed
58 %

With 20 m static, 90% speed delivers only ≈ 85% flow — and below ≈ 58% speed the pump dead-heads against the static column and delivers nothing. Set static to 0 m and the cube-law story comes back: 90% speed → 90% flow → 73% power.

8 · Viscosity — the silent curve killer

Everything so far assumed water. Pump a viscous fluid — sludge, glycerine solutions, oils, some polymers — and the water curve must be derated. The Hydraulic Institute method (ANSI/HI 9.6.7) condenses the physics into a single parameter B computed at the water BEP, from which three correction factors follow[5]:

\[ B=16.5\;\frac{\nu^{0.50}\;H_{BEP}^{0.0625}}{Q_{BEP}^{0.375}\;N^{0.25}} \qquad\Longrightarrow\qquad C_Q,\;C_H,\;C_\eta \]

with ν in cSt, Q in m³/h, H in m and N in rpm. The corrected performance is \(Q_{vis}=C_Q\,Q_w\), \(H_{vis}=C_H\,H_w\), \(\eta_{vis}=C_\eta\,\eta_w\) — and the pattern of the factors is the important lesson: flow and head survive moderate viscosity almost intact, but efficiency does not. At 120 cSt on the pump above, B ≈ 2.7: flow and head keep ~99% of their water values, while efficiency keeps only ~90% — and absorbed power rises accordingly (times the fluid SG, on top).

9 · Interactive: HI viscosity correction

Water curve vs viscous curve — efficiency dies first
Dashed = water test curve; solid = corrected viscous performance per the HI 9.6.7 generalized method (CH applied uniformly for clarity). Green pair (right axis) = efficiency. Amber pair (far right axis) = shaft power P2 — the only curve that responds to specific gravity.
1 → 500 cSt (log scale). Method valid for 1 < B < 40.
Power scales with SG directly — the curve-sheet P2 is for SG = 1.0.
Parameter B
CQ = CH
1.00
Cη (efficiency)
1.00
η at BEP
85.1 %
P2 at BEP vs water
1.00 ×

Slide to 500 cSt: flow and head still keep ~94% — but efficiency keeps only 74% of its water value (85% → ~63% absolute) and shaft power is up ~19% before the SG multiplier. Then slide the specific gravity up and watch only the amber power curve rise: head in metres and efficiency are blind to density — the kilowatts are not. Size the motor for the viscous condition, never from the water sheet.

Boundaries of the method The HI correction applies to conventional rotodynamic pumps with Newtonian fluids and roughly 1 < B < 40. Above that — thick sludges, non-Newtonian slurries — the rotodynamic pump itself becomes the wrong machine, and positive-displacement selection should be on the table. The correction is a derating tool, not a licence.

10 · The misreadings that cause field failures

Every one of these is a real failure pattern, and every one originates on paper, not in the machine:

11 · Curve-reading checklist

The one-line summary The curve sheet answers four questions at every flow — how much head, at what efficiency, for how much power, needing how much suction. Read all four, at one flow, on your trim, with the tolerance and the fluid corrections applied — and the pump will do in the field exactly what it did on paper.

References & standards

  1. ISO 9906:2012. Rotodynamic pumps — Hydraulic performance acceptance tests — Grades 1, 2 and 3.
  2. Hydraulic Institute. ANSI/HI 14.6 — Rotodynamic Pumps for Hydraulic Performance Acceptance Tests.
  3. Hydraulic Institute. ANSI/HI 9.6.3 — Rotodynamic Pumps: Guideline for Operating Regions (POR / AOR).
  4. Hydraulic Institute. ANSI/HI 9.6.1 — Rotodynamic Pumps: Guideline for NPSH Margin.
  5. Hydraulic Institute. ANSI/HI 9.6.7 — Rotodynamic Pumps: Guideline for Effects of Liquid Viscosity on Performance.
  6. Gülich, J.F. Centrifugal Pumps, 4th ed. Springer, 2020 (trim deviations, curve shapes, suction behaviour).
  7. Karassik, I.J., Messina, J.P., Cooper, P., Heald, C.C. Pump Handbook, 4th ed. McGraw-Hill, 2008.
  8. Jones, G.M. (ed.). Pumping Station Design, 3rd ed. Butterworth-Heinemann, 2008.
  9. Flowserve / Cameron. Cameron Hydraulic Data Book, 19th ed. (curve reading and corrections).
  10. U.S. DOE & Hydraulic Institute. Improving Pumping System Performance: A Sourcebook for Industry, 2nd ed.
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