Pump System Curve Calculator
Declared independently calibrated pump system head Hstatic+kQ², signed static head and compatiblek/Qunits; not pump curve intersection or pressure safety. Actual independently established compatible SI units/model context; conditional arithmetic, not code compliance, engineering design or safe operation approval.
Description
A quadratic pump-system curve separates static head from flow-dependent resistance.
A quadratic pump-system curve separates static head from flow-dependent resistance.1
This tool evaluates supplied static head and calibrated resistance without finding an operating-point intersection.
When to use Pump System Curve Calculator
Use this tool to evaluate supplied static head and calibrated resistance without finding an operating-point intersection.
How to use Pump System Curve Calculator and how it works
- Prepare actualStaticHeadMeters, callerCalibratedResistanceCoefficient, actualFlow, with the units, conventions and assumptions below.
- Enter the required fields and run Pump System Curve Calculator.
- Read result.value using the output definitions below.
- Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualStaticHeadMeters | Actual Static Head Meters. Use the units and matching context stated in the calculation below. | number | Required; finite; other constraints below |
| callerCalibratedResistanceCoefficient | Caller Calibrated Resistance Coefficient. Use the units and matching context stated in the calculation below. | number | Required; nonnegative; finite; other constraints below |
| actualFlow | Actual Flow. Use the units and matching context stated in the calculation below. | number | Required; nonnegative; finite; other constraints below |
Supply finite static head, a nonnegative system coefficient and nonnegative flow using the coefficient's matching unit convention. Return staticHead+coefficient*flow^2. Signed static head is accepted; this evaluates one system-curve point without finding a pump operating intersection.
systemHead=staticHead+coefficient*flow^2 Apply the input ordering, units and branch conditions stated above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the calculated or selected fields below. | object |
| result.value | System head in meters at the supplied flow. | number |
{
"input": {
"actualStaticHeadMeters": 2,
"callerCalibratedResistanceCoefficient": 1,
"actualFlow": 2
},
"output": {
"result": {
"value": 6
}
}
}Limitations and assumptions
The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.
All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.
Alternative or Complementary methods
Use Fan System Curve Calculator for a complementary operation: A quadratic fan-system model relates static pressure to flow using an independently calibrated resistance.
Use Equal-Friction Duct Sizing Calculator for a complementary operation: Equal-friction duct sizing depends on flow, roughness, section shape and a chosen pressure gradient.
References
-
Pump System Curve Calculator — tool.io
Similar or alternative tools
- Fan System Curve Calculator
A quadratic fan-system model relates static pressure to flow using an independently calibrated resistance.
- Equal-Friction Duct Sizing Calculator
Equal-friction duct sizing depends on flow, roughness, section shape and a chosen pressure gradient.