Plumbing Expansion Tank Precharge Pressure Calculator

Audit actual cold-fill pressure translated to tank elevation against independent observed precharge; signed elevation below reference, no setting procedure, automatic pressure adjustment or vessel safety assurance.

Description

A tank’s elevation changes its reference cold-fill gauge pressure.

A tank’s elevation changes its reference cold-fill gauge pressure. Comparing observed precharge retains the signed mismatch.1

The returned values include Caller reference matched precharge gauge kpa, Signed actual minus reference matched precharge kpa. The How section below explains the calculation, input rules and interpretation.

When to use Plumbing Expansion Tank Precharge Pressure Calculator

Use Plumbing Expansion Tank Precharge Pressure Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No setting procedure, automatic adjustment or vessel safety assurance is supplied.

Prepare measured flows, pressures, temperatures or inventories with consistent units. For catalog tools, use independently verified capacities at the stated operating conditions and supply the explicit design demand.

How to use Plumbing Expansion Tank Precharge Pressure Calculator and understand its results

  1. Prepare measured flows, pressures, temperatures or inventories with consistent units. For catalog tools, use independently verified capacities at the stated operating conditions and supply the explicit design demand.
  2. Enter observedColdFillGaugeKpa, observedTankBelowFillReferenceMeters, callerFluidDensityKgM3, callerGravityMetersSecondSquared, observedActualPrechargeGaugeKpa using the field table and calculation rules, then run the tool.
  3. Read callerReferenceMatchedPrechargeGaugeKpa, signedActualMinusReferenceMatchedPrechargeKpa. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
observedColdFillGaugeKpaObserved cold fill gauge kpanumberRequired
observedTankBelowFillReferenceMetersObserved tank below fill reference metersnumberRequired
callerFluidDensityKgM3Caller fluid density kg m3numberRequired
callerGravityMetersSecondSquaredCaller gravity meters second squarednumberRequired
observedActualPrechargeGaugeKpaObserved actual precharge gauge kpanumberRequired

Enter nonnegative fill and actual gauge kPa, finite signed tank depth below the reference, positive density and gravity. Require nonnegative computed reference pressure. Return reference pressure and signed actual-minus-reference difference.

reference=fillGaugeKPa+belowReferenceMeters×density×gravity/1000; difference=actual−reference

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
callerReferenceMatchedPrechargeGaugeKpaCaller reference matched precharge gauge kpanumber
signedActualMinusReferenceMatchedPrechargeKpaSigned actual minus reference matched precharge kpanumber
json
{
  "input": {
    "observedColdFillGaugeKpa": 150,
    "observedTankBelowFillReferenceMeters": 2,
    "callerFluidDensityKgM3": 1000,
    "callerGravityMetersSecondSquared": 10,
    "observedActualPrechargeGaugeKpa": 160
  },
  "output": {
    "callerReferenceMatchedPrechargeGaugeKpa": 170,
    "signedActualMinusReferenceMatchedPrechargeKpa": -10
  }
}

Limitations and assumptions

No setting procedure, automatic adjustment or vessel safety assurance is supplied.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Plumbing Expansion Tank Size Calculator: Ideal expansion-tank acceptance follows isothermal gas compression using absolute pressures. Greater maximum pressure provides a positive acceptance fraction. For a complementary task, use Plumbing Hydronic Expansion Tank Acceptance Volume Calculator: Density change estimates hydronic thermal expansion at fixed mass. Installed tank acceptance provides a separate measurable volume budget.

References

  1. Plumbing Expansion Tank Precharge Pressure Calculator — tool.io

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