Brayton Cycle Efficiency Calculator

Ideal air-standard Brayton efficiency1−rp^−((γ−1)/γ), constantγ>1, rp≥1; no actual component efficiencies or heat capacities invented. Actual independently established compatible SI units/model context; conditional arithmetic, not code compliance, engineering design or safe operation approval.

Description

The ideal air-standard Brayton relation uses pressure ratio and a constant heat-capacity ratio.

The ideal air-standard Brayton relation uses pressure ratio and a constant heat-capacity ratio.1

This tool calculates that conditional efficiency without estimating actual compressor or turbine efficiencies.

When to use Brayton Cycle Efficiency Calculator

Use this tool to calculate that conditional efficiency without estimating actual compressor or turbine efficiencies.

How to use Brayton Cycle Efficiency Calculator and how it works

  1. Prepare pressureRatio, heatCapacityRatio, with the units, conventions and assumptions below.
  2. Enter the required fields and run Brayton Cycle Efficiency Calculator.
  3. Read result.value using the output definitions below.
  4. Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
Input fieldMeaningValue typeRequirement
pressureRatioPressure Ratio. Use the units and matching context stated in the calculation below.numberRequired; strictly positive; finite; other constraints below
heatCapacityRatioHeat Capacity Ratio. Use the units and matching context stated in the calculation below.numberRequired; strictly positive; finite; other constraints below

Supply pressure ratio at least one and specific-heat ratio gamma>1. Return 1-pressureRatio^(-(gamma-1)/gamma) for the ideal constant-specific-heat Brayton cycle. A ratio of one yields zero; component losses and nonideal heat transfer are excluded.

efficiency=1-pressureRatio^(-(gamma-1)/gamma)

Apply the input ordering, units and branch conditions stated above.

Output fieldMeaningValue type
resultObject containing the calculated or selected fields below.object
result.valueDimensionless ideal Brayton-cycle efficiency.number
json
{
  "input": {
    "pressureRatio": 4,
    "heatCapacityRatio": 2
  },
  "output": {
    "result": {
      "value": 0.5
    }
  }
}

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 Turbine Work Calculator for a complementary operation: Steady turbine power can be estimated from mass flow and a signed specific-enthalpy drop under a restricted energy balance.

Use Compressor Power Calculator for a complementary operation: A restricted adiabatic compressor balance uses mass flow, matched heat capacity and observed temperature rise.

References

  1. Brayton Cycle Efficiency Calculator — tool.io

Similar or alternative tools

  • Turbine Work Calculator

    Steady turbine power can be estimated from mass flow and a signed specific-enthalpy drop under a restricted energy balance.

  • Compressor Power Calculator

    A restricted adiabatic compressor balance uses mass flow, matched heat capacity and observed temperature rise.

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