Plumbing Air Chamber Size Calculator

Evaluate actual air-chamber polytropic compression volume with caller exponent/absolute pressures; differs from inverse ideal expansion tank sizing, no gas dissolution/transient or surge safety guarantee.

Description

A polytropic gas model estimates air-chamber compression as absolute pressure increases.

A polytropic gas model estimates air-chamber compression as absolute pressure increases. The displaced gas volume is ideal water acceptance.1

The returned values include Modeled compressed gas liters, Modeled water acceptance liters. The How section below explains the calculation, input rules and interpretation.

When to use Plumbing Air Chamber Size Calculator

Use Plumbing Air Chamber Size Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No gas dissolution, transient surge or safety 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 Air Chamber Size 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 observedAirChamberInitialGasLiters, observedInitialAbsoluteKpa, callerMaximumAbsoluteKpa, callerPolytropicExponent using the field table and calculation rules, then run the tool.
  3. Read modeledCompressedGasLiters, modeledWaterAcceptanceLiters. 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
observedAirChamberInitialGasLitersObserved air chamber initial gas litersnumberRequired
observedInitialAbsoluteKpaObserved initial absolute kpanumberRequired
callerMaximumAbsoluteKpaCaller maximum absolute kpanumberRequired
callerPolytropicExponentCaller polytropic exponentnumberRequired

Enter positive initial gas volume and absolute pressures with maximum at least initial, plus exponent in (0,2]. Return compressed gas and acceptance liters; equal pressures give zero acceptance.

compressed=initialLiters×(initialAbsolute/maxAbsolute)^(1/exponent); acceptance=initial−compressed

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

Output fieldMeaningValue type
modeledCompressedGasLitersModeled compressed gas litersnumber
modeledWaterAcceptanceLitersModeled water acceptance litersnumber
json
{
  "input": {
    "observedAirChamberInitialGasLiters": 10,
    "observedInitialAbsoluteKpa": 100,
    "callerMaximumAbsoluteKpa": 200,
    "callerPolytropicExponent": 1
  },
  "output": {
    "modeledCompressedGasLiters": 5,
    "modeledWaterAcceptanceLiters": 5
  }
}

Limitations and assumptions

No gas dissolution, transient surge or safety 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 Water Hammer Arrestor Size Calculator: An arrestor candidate needs both stored-energy capacity and a sufficient rated pressure. Both ratings must describe the supplied operating conditions. For a complementary task, 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.

References

  1. Plumbing Air Chamber Size Calculator — tool.io

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