{
  "regenerative_reference": [
    {
      "cold_K": 273.15,
      "hot_K": 313.15,
      "regenerator_effectiveness_assumed": 0,
      "volume_ratio": 1.5,
      "pair_gross_shaft_W": 0.1401458368721124,
      "pair_hot_heat_W": 1.9612721272008837,
      "pair_cold_heat_W": 1.8211262903287715,
      "pair_minimum_cold_reset_W": 0.1333425802913251,
      "pair_shaft_minus_minimum_reset_W": 0.006803256580787331,
      "entropy_generation_JK_per_chamber_cycle": 0.008081706767398222,
      "scope": "Ideal Stirling reference with isothermal strokes, no friction, no pressure loss, no auxiliaries and assumed regeneration. Not a prediction of the chamber hardware."
    },
    {
      "cold_K": 273.15,
      "hot_K": 313.15,
      "regenerator_effectiveness_assumed": 0.5,
      "volume_ratio": 1.5,
      "pair_gross_shaft_W": 0.1401458368721124,
      "pair_hot_heat_W": 1.5292194238067167,
      "pair_cold_heat_W": 1.3890735869346045,
      "pair_minimum_cold_reset_W": 0.10170774936369065,
      "pair_shaft_minus_minimum_reset_W": 0.03843808750842177,
      "entropy_generation_JK_per_chamber_cycle": 0.004040853383699125,
      "scope": "Ideal Stirling reference with isothermal strokes, no friction, no pressure loss, no auxiliaries and assumed regeneration. Not a prediction of the chamber hardware."
    },
    {
      "cold_K": 273.15,
      "hot_K": 313.15,
      "regenerator_effectiveness_assumed": 0.9,
      "volume_ratio": 1.5,
      "pair_gross_shaft_W": 0.1401458368721124,
      "pair_hot_heat_W": 1.1835772610913833,
      "pair_cold_heat_W": 1.0434314242192708,
      "pair_minimum_cold_reset_W": 0.07639988462158312,
      "pair_shaft_minus_minimum_reset_W": 0.0637459522505293,
      "entropy_generation_JK_per_chamber_cycle": 0.0008081706767398417,
      "scope": "Ideal Stirling reference with isothermal strokes, no friction, no pressure loss, no auxiliaries and assumed regeneration. Not a prediction of the chamber hardware."
    },
    {
      "cold_K": 273.15,
      "hot_K": 313.15,
      "regenerator_effectiveness_assumed": 1.0,
      "volume_ratio": 1.5,
      "pair_gross_shaft_W": 0.1401458368721124,
      "pair_hot_heat_W": 1.09716672041255,
      "pair_cold_heat_W": 0.9570208835404376,
      "pair_minimum_cold_reset_W": 0.07007291843605623,
      "pair_shaft_minus_minimum_reset_W": 0.07007291843605619,
      "entropy_generation_JK_per_chamber_cycle": 0.0,
      "scope": "Ideal Stirling reference with isothermal strokes, no friction, no pressure loss, no auxiliaries and assumed regeneration. Not a prediction of the chamber hardware."
    },
    {
      "cold_K": 283.15,
      "hot_K": 313.15,
      "regenerator_effectiveness_assumed": 0,
      "volume_ratio": 1.5,
      "pair_gross_shaft_W": 0.1051093776540843,
      "pair_hot_heat_W": 1.7452457755038004,
      "pair_cold_heat_W": 1.6401363978497159,
      "pair_minimum_cold_reset_W": 0.057924647637284644,
      "pair_shaft_minus_minimum_reset_W": 0.04718473001679966,
      "entropy_generation_JK_per_chamber_cycle": 0.004385410522610225,
      "scope": "Ideal Stirling reference with isothermal strokes, no friction, no pressure loss, no auxiliaries and assumed regeneration. Not a prediction of the chamber hardware."
    },
    {
      "cold_K": 283.15,
      "hot_K": 313.15,
      "regenerator_effectiveness_assumed": 0.5,
      "volume_ratio": 1.5,
      "pair_gross_shaft_W": 0.1051093776540843,
      "pair_hot_heat_W": 1.421206247958175,
      "pair_cold_heat_W": 1.3160968703040907,
      "pair_minimum_cold_reset_W": 0.04648055342765636,
      "pair_shaft_minus_minimum_reset_W": 0.05862882422642794,
      "entropy_generation_JK_per_chamber_cycle": 0.0021927052613051196,
      "scope": "Ideal Stirling reference with isothermal strokes, no friction, no pressure loss, no auxiliaries and assumed regeneration. Not a prediction of the chamber hardware."
    },
    {
      "cold_K": 283.15,
      "hot_K": 313.15,
      "regenerator_effectiveness_assumed": 0.9,
      "volume_ratio": 1.5,
      "pair_gross_shaft_W": 0.1051093776540843,
      "pair_hot_heat_W": 1.1619746259216748,
      "pair_cold_heat_W": 1.0568652482675907,
      "pair_minimum_cold_reset_W": 0.03732527805995373,
      "pair_shaft_minus_minimum_reset_W": 0.06778409959413056,
      "entropy_generation_JK_per_chamber_cycle": 0.00043854105226102946,
      "scope": "Ideal Stirling reference with isothermal strokes, no friction, no pressure loss, no auxiliaries and assumed regeneration. Not a prediction of the chamber hardware."
    },
    {
      "cold_K": 283.15,
      "hot_K": 313.15,
      "regenerator_effectiveness_assumed": 1.0,
      "volume_ratio": 1.5,
      "pair_gross_shaft_W": 0.1051093776540843,
      "pair_hot_heat_W": 1.09716672041255,
      "pair_cold_heat_W": 0.9920573427584657,
      "pair_minimum_cold_reset_W": 0.035036459218028074,
      "pair_shaft_minus_minimum_reset_W": 0.07007291843605623,
      "entropy_generation_JK_per_chamber_cycle": 0.0,
      "scope": "Ideal Stirling reference with isothermal strokes, no friction, no pressure loss, no auxiliaries and assumed regeneration. Not a prediction of the chamber hardware."
    },
    {
      "cold_K": 293.15,
      "hot_K": 313.15,
      "regenerator_effectiveness_assumed": 0,
      "volume_ratio": 1.5,
      "pair_gross_shaft_W": 0.0700729184360562,
      "pair_hot_heat_W": 1.5292194238067167,
      "pair_cold_heat_W": 1.4591465053706607,
      "pair_minimum_cold_reset_W": 0.0,
      "pair_shaft_minus_minimum_reset_W": 0.0700729184360562,
      "entropy_generation_JK_per_chamber_cycle": 0.0018825841749231104,
      "scope": "Ideal Stirling reference with isothermal strokes, no friction, no pressure loss, no auxiliaries and assumed regeneration. Not a prediction of the chamber hardware."
    },
    {
      "cold_K": 293.15,
      "hot_K": 313.15,
      "regenerator_effectiveness_assumed": 0.5,
      "volume_ratio": 1.5,
      "pair_gross_shaft_W": 0.0700729184360562,
      "pair_hot_heat_W": 1.3131930721096334,
      "pair_cold_heat_W": 1.2431201536735772,
      "pair_minimum_cold_reset_W": 0.0,
      "pair_shaft_minus_minimum_reset_W": 0.0700729184360562,
      "entropy_generation_JK_per_chamber_cycle": 0.0009412920874615482,
      "scope": "Ideal Stirling reference with isothermal strokes, no friction, no pressure loss, no auxiliaries and assumed regeneration. Not a prediction of the chamber hardware."
    },
    {
      "cold_K": 293.15,
      "hot_K": 313.15,
      "regenerator_effectiveness_assumed": 0.9,
      "volume_ratio": 1.5,
      "pair_gross_shaft_W": 0.0700729184360562,
      "pair_hot_heat_W": 1.1403719907519665,
      "pair_cold_heat_W": 1.0702990723159105,
      "pair_minimum_cold_reset_W": 0.0,
      "pair_shaft_minus_minimum_reset_W": 0.0700729184360562,
      "entropy_generation_JK_per_chamber_cycle": 0.00018825841749230132,
      "scope": "Ideal Stirling reference with isothermal strokes, no friction, no pressure loss, no auxiliaries and assumed regeneration. Not a prediction of the chamber hardware."
    },
    {
      "cold_K": 293.15,
      "hot_K": 313.15,
      "regenerator_effectiveness_assumed": 1.0,
      "volume_ratio": 1.5,
      "pair_gross_shaft_W": 0.0700729184360562,
      "pair_hot_heat_W": 1.09716672041255,
      "pair_cold_heat_W": 1.0270938019764937,
      "pair_minimum_cold_reset_W": 0.0,
      "pair_shaft_minus_minimum_reset_W": 0.0700729184360562,
      "entropy_generation_JK_per_chamber_cycle": 0.0,
      "scope": "Ideal Stirling reference with isothermal strokes, no friction, no pressure loss, no auxiliaries and assumed regeneration. Not a prediction of the chamber hardware."
    }
  ],
  "ideal_cancellation_check": "With perfect regeneration and reversible refrigeration to ambient, the cold-dependent gross work increase is exactly cancelled by minimum cold-reset work at the same hot temperature and gas/volume cycle. Real losses can worsen it.",
  "nitrogen_cascade": {
    "fluid": "N2 only; not N2O or NO2",
    "high_pressure_Pa": 2000000.0,
    "pump_efficiency_assumed": 0.65,
    "expander_efficiency_assumed": 0.65,
    "initial_liquid_temperature_K": 77.3549939095929,
    "heater_exit_K": 313.15,
    "post_expander_K": 194.4043695650065,
    "after_cold_reuse_K": 268.15,
    "pump_work_Jkg": 3617.9128617037068,
    "hot_heat_required_Jkg": 439561.110409561,
    "expander_shaft_Jkg": 120003.92158192585,
    "net_shaft_before_other_losses_Jkg": 116386.00872022215,
    "remaining_cold_used_Jkg": 76868.98835342613,
    "cooling_only_alternative_Jkg": 400044.090042765,
    "initial_liquid_exergy_Jkg": 741686.2090306964,
    "remaining_final_exergy_Jkg": 1177.5904264588426,
    "first_law_residual_Jkg": 0.0,
    "exergy_residual_Jkg": -1.1641532182693481e-10,
    "entropy_generation_JkgK": 2205.5868763641874,
    "critical_comparison": "Cooling-only and pump/heat/expand/reuse are alternative paths for the same kilogram, not additive full-capacity claims.",
    "scope": "CoolProp equilibrium state-path calculation. No expander, pump, exchanger or N2 hardware has been tested; finite transfer, production, storage and replenishment losses remain."
  }
}