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Pump Curve Operating Point Residual

Compare supplied pump and system head values evaluated at the same explicit flow point, without solving the full operating curve.

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Description

Compare supplied pump and system heads at a claimed flow.

Engineering scalar terms depend on mass versus mole bases, absolute state variables and the process boundary. A vapor/liquid ratio differs from a reaction equilibrium constant, space time differs from a measured residence-time distribution, and fouling-area scaling preserves a specified heat-transfer product. Supplied terms do not validate an actual process.

Compare supplied pump and system heads at a claimed flow.

When to use this tool

Use Pump Curve Operating Point Residual when you already have pumpHeadAtFlow, systemHeadAtFlow and need to compare supplied pump and system heads at a claimed flow.

How to use the tool and how it works

  1. Enter pumpHeadAtFlow, systemHeadAtFlow. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read headResidual, balancedExactly. Inspect balancedExactly before interpreting the associated values.

Return pumpHeadAtFlow-systemHeadAtFlow and exact equality as balancedExactly.1

Input fieldMeaning and unitsAccepted input
pumpHeadAtFlowPump Head At FlowRequired. Finite number.
systemHeadAtFlowSystem Head At FlowRequired. Finite number.
Output fieldInterpretationReturned shape
headResidualHead ResidualRequired. Finite number.
balancedExactlyStrict numeric equality of the two supplied heads, without root finding or tolerance.Required. Boolean.
json
{
  "input": {
    "pumpHeadAtFlow": 25,
    "systemHeadAtFlow": 20
  },
  "output": {
    "headResidual": 5,
    "balancedExactly": false
  }
}

Limitations and assumptions

  • No flow is found, curve evaluated or tolerance added. Head equality alone does not establish stability, efficiency, pump suitability or safe operation.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use complete material, energy, phase and equipment models with verified operating conditions. Check concentration bases, gas reference states and measurement uncertainty before applying local ratios or balances to process design or operation.

References

  1. Calculation and input contract: chemical-engineering/pump-curve-operating-point-residual — tool.io

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