Plumbing Freeze Time Calculator

Explicit lumped-water constant measured heat-removal scenario separating sensible cooling and fusion latent heat; no wall/ice-front transient, pipe-burst prediction or frost protection guarantee.

Description

A constant heat-removal model separates sensible cooling to the freeze point from latent freezing.

A constant heat-removal model separates sensible cooling to the freeze point from latent freezing. It treats the water as a lumped mass.1

The returned values include Modeled seconds to first freeze, Modeled additional latent freeze seconds, Modeled seconds to complete freeze. The How section below explains the calculation, input rules and interpretation.

When to use Plumbing Freeze Time Calculator

Use Plumbing Freeze Time Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No wall or ice-front transient, pipe-burst prediction or frost-protection guarantee 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 Freeze Time 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 observedContainedWaterMassKg, observedInitialWaterC, callerWaterHeatCapacityJkgK, callerLatentFusionJkg, callerMeasuredConstantHeatRemovalWatts, callerFreezePointC using the field table and calculation rules, then run the tool.
  3. Read modeledSecondsToFirstFreeze, modeledAdditionalLatentFreezeSeconds, modeledSecondsToCompleteFreeze. 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
observedContainedWaterMassKgObserved contained water mass kgnumberRequired
observedInitialWaterCObserved initial water cnumberRequired
callerWaterHeatCapacityJkgKCaller water heat capacity jkg knumberRequired
callerLatentFusionJkgCaller latent fusion jkgnumberRequired
callerMeasuredConstantHeatRemovalWattsCaller measured constant heat removal wattsnumberRequired
callerFreezePointCCaller freeze point cnumberRequired

Enter nonnegative water mass, finite initial and freeze temperatures with initial at least freeze point, positive heat capacity, fusion heat and measured removal watts. Return time to first freeze, additional latent-freeze time and their sum.

coolingSeconds=mass×heatCapacity×(initial−freezePoint)/removalWatts; latentSeconds=mass×fusionHeat/removalWatts

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

Output fieldMeaningValue type
modeledSecondsToFirstFreezeModeled seconds to first freezenumber
modeledAdditionalLatentFreezeSecondsModeled additional latent freeze secondsnumber
modeledSecondsToCompleteFreezeModeled seconds to complete freezenumber
json
{
  "input": {
    "observedContainedWaterMassKg": 1,
    "observedInitialWaterC": 5,
    "callerWaterHeatCapacityJkgK": 4000,
    "callerLatentFusionJkg": 300000,
    "callerMeasuredConstantHeatRemovalWatts": 100,
    "callerFreezePointC": 0
  },
  "output": {
    "modeledSecondsToFirstFreeze": 200,
    "modeledAdditionalLatentFreezeSeconds": 3000,
    "modeledSecondsToCompleteFreeze": 3200
  }
}

Limitations and assumptions

No wall or ice-front transient, pipe-burst prediction or frost-protection guarantee 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 Tracing Heat Requirement Calculator: Heat tracing offsets pipe and fitting losses plus an explicit design allowance. The allowance is an added fraction, not a heater efficiency. For a complementary task, use Plumbing Water Heater Energy Calculator: Sensible water-heating energy depends on volume, temperature rise and volumetric heat capacity. Input energy includes an explicit efficiency.

References

  1. Plumbing Freeze Time Calculator — tool.io

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