{ "status": "THEORETICAL_COMPONENT_PROTOTYPE_NOT_EXPERIMENTAL_PROOF", "original_plan_source_sha256": "1744cb14a86fc6de58e267f3e09ec2864267d37694af3d3cb3102ea613ac7a51", "controlled_comparisons": [ { "case": "original-pressure-load", "cold_K": 273.15, "hot_K": 313.15, "period_s": 40, "wall_JK": 2.0, "load_method": "fixed", "timed_valves": false, "head_fraction": 0, "pair_inlet_gs": 0.0036558126115697675, "pair_shaft_W": 0.0009080777133592302, "pair_cold_duty_W": 4.946492003320486, "pair_hot_duty_W": 4.947518938918006, "pair_minimum_cold_reset_W": 0.36218136579317745, "shaft_minus_minimum_cold_reset_W": -0.36127328807981823, "pair_hot_exergy_W": 0.3159839654426335, "first_law_residual_J": -1.6484591469634324e-12, "entropy_generation_JK": 0.35320981063586665, "last_cycle_gas_mass_change_kg": 0.0, "last_cycle_gas_wall_energy_change_J": 0.0 }, { "case": "head-recovery-only", "cold_K": 273.15, "hot_K": 313.15, "period_s": 40, "wall_JK": 2.0, "load_method": "fractional_head", "timed_valves": false, "head_fraction": 0.75, "pair_inlet_gs": 0.003792858372868524, "pair_shaft_W": 0.0008486294486473381, "pair_cold_duty_W": 4.953868134682966, "pair_hot_duty_W": 4.955178367722567, "pair_minimum_cold_reset_W": 0.36272144497037784, "shaft_minus_minimum_cold_reset_W": -0.3618728155217305, "pair_hot_exergy_W": 0.31647315137937254, "first_law_residual_J": 4.853006885241484e-12, "entropy_generation_JK": 0.35372733805125817, "last_cycle_gas_mass_change_kg": 0.0, "last_cycle_gas_wall_energy_change_J": 0.0 }, { "case": "timing-only", "cold_K": 273.15, "hot_K": 313.15, "period_s": 40, "wall_JK": 2.0, "load_method": "fixed", "timed_valves": true, "head_fraction": 0, "pair_inlet_gs": 0.0035818434153836918, "pair_shaft_W": 0.0008897434029630578, "pair_cold_duty_W": 4.872436706759521, "pair_hot_duty_W": 4.911782795352963, "pair_minimum_cold_reset_W": 0.35675904863697455, "shaft_minus_minimum_cold_reset_W": -0.3558693052340115, "pair_hot_exergy_W": 0.3137015995754787, "first_law_residual_J": -6.203038083185675e-12, "entropy_generation_JK": 0.3494223716217166, "last_cycle_gas_mass_change_kg": 0.0, "last_cycle_gas_wall_energy_change_J": 0.0 }, { "case": "timed-head-recovery", "cold_K": 273.15, "hot_K": 313.15, "period_s": 40, "wall_JK": 2.0, "load_method": "fractional_head", "timed_valves": true, "head_fraction": 0.75, "pair_inlet_gs": 0.003702521980677764, "pair_shaft_W": 0.011739713214619895, "pair_cold_duty_W": 4.859291438700223, "pair_hot_duty_W": 4.908697632170487, "pair_minimum_cold_reset_W": 0.3557965541790448, "shaft_minus_minimum_cold_reset_W": -0.3440568409644249, "pair_hot_exergy_W": 0.31350455897623775, "first_law_residual_J": 3.552713678800501e-13, "entropy_generation_JK": 0.34320261486906234, "last_cycle_gas_mass_change_kg": 0.0, "last_cycle_gas_wall_energy_change_J": 0.0 }, { "case": "ambient-cold-reference", "cold_K": 293.15, "hot_K": 313.15, "period_s": 40, "wall_JK": 2.0, "load_method": "fractional_head", "timed_valves": true, "head_fraction": 0.75, "pair_inlet_gs": 0.0017474183654366635, "pair_shaft_W": 0.002647196310957728, "pair_cold_duty_W": 2.3152602390692096, "pair_hot_duty_W": 2.5395068347935252, "pair_minimum_cold_reset_W": 0.0, "shaft_minus_minimum_cold_reset_W": 0.002647196310957728, "pair_hot_exergy_W": 0.16219107998042048, "first_law_residual_J": -6.693312570860144e-12, "entropy_generation_JK": 0.08195462910031456, "last_cycle_gas_mass_change_kg": 0.0, "last_cycle_gas_wall_energy_change_J": 0.0 } ], "model_checks_passed": [ "Isothermal, equal-pressure null produces no mass flow or work.", "Sealed cooling reproduces p/T=constant for fixed gas mass and volume.", "Uncycled cooling fills to the analytic mass limit and its intake flow decays to zero.", "Halving timestep changes periodic flow/work/reset metrics by less than 0.5%.", "Control runs close mass, energy and exergy balances and have nonnegative entropy generation." ], "timestep_relative_differences": { "mean_inlet_gs": 1.1106671138350066e-12, "mean_shaft_W": 5.725064866624052e-11, "minimum_cold_reset_power_W": 1.9872992140790302e-13 }, "best_gross_shaft_case_in_sweep": { "case": "joint-2", "cold_K": 273.15, "hot_K": 313.15, "period_s": 20, "wall_JK": 0.5, "load_method": "fractional_head", "timed_valves": true, "head_fraction": 0.8, "pair_inlet_gs": 0.006749020591690388, "pair_shaft_W": 0.024578669830651222, "pair_cold_duty_W": 3.8895564561743896, "pair_hot_duty_W": 3.98716984868629, "pair_minimum_cold_reset_W": 0.2847927114167682, "shaft_minus_minimum_cold_reset_W": -0.260214041586117, "pair_hot_exergy_W": 0.25464919997997415, "first_law_residual_J": -7.86926079854311e-13, "entropy_generation_JK": 0.1346900142797703, "last_cycle_gas_mass_change_kg": -2.168404344971009e-19, "last_cycle_gas_wall_energy_change_J": 5.684341886080802e-14 }, "best_shaft_minus_ideal_cold_reset_case": { "case": "joint-26", "cold_K": 293.15, "hot_K": 313.15, "period_s": 20, "wall_JK": 0.5, "load_method": "fractional_head", "timed_valves": true, "head_fraction": 0.8, "pair_inlet_gs": 0.0032873355768326578, "pair_shaft_W": 0.005714923760450919, "pair_cold_duty_W": 1.8375652312711908, "pair_hot_duty_W": 2.088335896880301, "pair_minimum_cold_reset_W": 0.0, "shaft_minus_minimum_cold_reset_W": 0.005714923760450919, "pair_hot_exergy_W": 0.13337607516399927, "first_law_residual_J": 1.0835776720341528e-13, "entropy_generation_JK": 0.03273742107644678, "last_cycle_gas_mass_change_kg": -1.0842021724855044e-19, "last_cycle_gas_wall_energy_change_J": 0.0 }, "finite_cold_case": { "m": 0.0005670267451577245, "U": 126.66086986798607, "Tw": 311.59093859972097, "Tc": 274.5848989368806, "Min": 0.0005467269589178777, "Mout": 0.0005817593719474673, "Hin": 161.02228431920747, "Hexhaust": 177.49711315006672, "Qhot": 772.5996587273542, "Qcold": 717.4494684402304, "Qambient": -0.05833363121446715, "Wshaft": 1.730530757633396, "Bhot": 49.34374317275139, "Bcold": 50.516177760908874, "Bexhaust": 0.11293729762449646, "Sexhaust": 0.020617869908145636, "Qhot_over_Th": 2.467187158637584, "Qcold_over_Tc": 2.6197020167188825, "Qambient_over_Ta": -0.0001989890200048818, "mode": "finite", "duration_s": 320, "final_T_K": 311.2729363274721, "final_p_Pa": 101328.69589438883, "mass_residual_kg": 6.288372600415926e-18, "energy_residual_J": 1.1375789199519204e-11, "entropy_generation_JK": 0.32951191655923945, "exergy_residual_J": 5.169420447259654e-12, "minimum_refrigeration_reset_work_J": 50.516177760908874, "last_cycle": { "Min": 7.112175623031784e-05, "Mout": 7.113661745029908e-05, "Hin": 20.946813516689787, "Hexhaust": 21.71627031238583, "Qhot": 94.79541798468938, "Qcold": 93.54404167308951, "Qambient": -0.25208295833274835, "Wshaft": 0.21720176013523362, "Bhot": 6.054313778361205, "Bcold": 6.358692562501666, "Bexhaust": 0.014211539219104355, "Sexhaust": 0.0025613792355128374, "Qhot_over_Th": 0.302715688918064, "Qcold_over_Tc": 0.34079049713659204, "Qambient_over_Ta": -0.0008599111660676788, "mean_inlet_gs": 0.001778043905757946, "mean_shaft_W": 0.005430044003380841, "minimum_cold_reset_power_W": 0.15896731406254166, "gas_and_wall_endpoint_change_J": 0.012634797435225664, "gas_mass_endpoint_change_kg": -1.4861219981400844e-08 } }, "condensation_screen": [ { "initial_relative_humidity": 0.5, "cold_K": 273.16, "initial_water_partial_pressure_Pa": 1169.6590917028377, "sealed_final_pressure_Pa": 93937.36830513258, "additional_pressure_drop_from_condensation_Pa": 478.2448621879204, "scope": "Sealed equilibrium screen only. No latent heat, freeze front, frost blockage or replenishment flow is simulated." }, { "initial_relative_humidity": 0.5, "cold_K": 283.15, "initial_water_partial_pressure_Pa": 1169.6590917028377, "sealed_final_pressure_Pa": 97868.57837284666, "additional_pressure_drop_from_condensation_Pa": 0, "scope": "Sealed equilibrium screen only. No latent heat, freeze front, frost blockage or replenishment flow is simulated." }, { "initial_relative_humidity": 1.0, "cold_K": 273.16, "initial_water_partial_pressure_Pa": 2339.3181834056754, "sealed_final_pressure_Pa": 92847.4686718747, "additional_pressure_drop_from_condensation_Pa": 1568.1444954457993, "scope": "Sealed equilibrium screen only. No latent heat, freeze front, frost blockage or replenishment flow is simulated." }, { "initial_relative_humidity": 1.0, "cold_K": 283.15, "initial_water_partial_pressure_Pa": 2339.3181834056754, "sealed_final_pressure_Pa": 96837.25847831917, "additional_pressure_drop_from_condensation_Pa": 1031.3198945275094, "scope": "Sealed equilibrium screen only. No latent heat, freeze front, frost blockage or replenishment flow is simulated." } ], "nitrogen_budget": { "fluid": "Nitrogen N2", "boiling_temperature_K": 77.3549939095929, "cooling_to_ambient_Jkg": 426078.5601413978, "liquid_physical_exergy_Jkg": 741686.2090306964, "meaning": "Ideal property budget for a separate N2 source; transfer losses, boil-off and production work unmeasured. No shaft/thrust is credited here.", "per_pair_cycle_minimum_N2_mass_for_cooling_kg": 0.00045618736949238893 }, "states": { "original-pressure-load": { "m": 0.0005691282267463048, "U": 127.28204232974984, "Tw": 311.88281890408723, "Tc": 273.15, "Min": 0.0005533448972936657, "Mout": 0.0005862758287346645, "Hin": 162.9714026814383, "Hexhaust": 172.6685765944907, "Qhot": 792.8296333264396, "Qcold": 745.8353098115359, "Qambient": 0.93988647029831, "Wshaft": 0.1456059342235899, "Bhot": 50.63577412271701, "Bcold": 54.60994397302052, "Bexhaust": 0.102357802707124, "Sexhaust": -0.00035482688389544044, "Qhot_over_Th": 2.5317887061358677, "Qcold_over_Tc": 2.7304971986510256, "Qambient_over_Ta": 0.003206162272891968, "mode": "cycle", "duration_s": 320, "final_T_K": 311.6444878270623, "final_p_Pa": 101825.63386379986, "mass_residual_kg": -4.228388472693467e-18, "energy_residual_J": -1.6484591469634324e-12, "entropy_generation_JK": 0.35320981063586665, "exergy_residual_J": -1.5805801112378504e-11, "minimum_refrigeration_reset_work_J": 54.60994397302052, "last_cycle": { "Min": 7.311625223139535e-05, "Mout": 7.311625223139486e-05, "Hin": 21.534233428806033, "Hexhaust": 21.53702136073025, "Qhot": 98.95037877836012, "Qcold": 98.92984006640972, "Qambient": 0.00041077423908841837, "Wshaft": 0.018161554267184604, "Bhot": 6.31967930885267, "Bcold": 7.243627315863549, "Bexhaust": 0.012708762815761415, "Sexhaust": -3.3842165755514314e-05, "Qhot_over_Th": 0.31598396544264507, "Qcold_over_Tc": 0.3621813657931785, "Qambient_over_Ta": 1.4012425006895007e-06, "mean_inlet_gs": 0.0018279063057848838, "mean_shaft_W": 0.0004540388566796151, "minimum_cold_reset_power_W": 0.18109068289658872, "gas_and_wall_endpoint_change_J": 0.0, "gas_mass_endpoint_change_kg": 0.0 } }, "head-recovery-only": { "m": 0.0005663548416134011, "U": 126.6594525858225, "Tw": 311.8778426303702, "Tc": 273.15, "Min": 0.0005725182393505919, "Mout": 0.0006082225559245009, "Hin": 168.61834451534568, "Hexhaust": 179.1882331071066, "Qhot": 794.0733682274271, "Qcold": 746.8590462143452, "Qambient": 0.9442864402617627, "Wshaft": 0.12983201502468555, "Bhot": 50.715207934052614, "Bcold": 54.68490179127533, "Bexhaust": 0.10896418508878032, "Sexhaust": -0.00018668911771454466, "Qhot_over_Th": 2.5357603967026283, "Qcold_over_Tc": 2.7342450895637858, "Qambient_over_Ta": 0.003221171551293605, "mode": "cycle", "duration_s": 320, "final_T_K": 311.6387324889368, "final_p_Pa": 101327.56206865798, "mass_residual_kg": 2.2768245622195593e-18, "energy_residual_J": 4.853006885241484e-12, "entropy_generation_JK": 0.35372733805125817, "exergy_residual_J": 4.773292872073398e-12, "minimum_refrigeration_reset_work_J": 54.68490179127533, "last_cycle": { "Min": 7.585716745737048e-05, "Mout": 7.585716745737037e-05, "Hin": 22.341489086519715, "Hexhaust": 22.35124525155598, "Qhot": 99.10356735445134, "Qcold": 99.07736269365932, "Qambient": 0.0005240932158602218, "Wshaft": 0.01697258897294676, "Bhot": 6.329463027587451, "Bcold": 7.254428899407557, "Bexhaust": 0.013533534820369786, "Sexhaust": -1.2885450401305901e-05, "Qhot_over_Th": 0.31647315137937637, "Qcold_over_Tc": 0.36272144497037884, "Qambient_over_Ta": 1.7877987919310938e-06, "mean_inlet_gs": 0.001896429186434262, "mean_shaft_W": 0.00042431472432366904, "minimum_cold_reset_power_W": 0.18136072248518892, "gas_and_wall_endpoint_change_J": 0.0, "gas_mass_endpoint_change_kg": 0.0 } }, "timing-only": { "m": 0.0005697683102949759, "U": 127.28237484594062, "Tw": 311.60872166883587, "Tc": 273.15, "Min": 0.000542459626372008, "Mout": 0.0005747504742643439, "Hin": 159.76546750548113, "Hexhaust": 175.5617744561705, "Qhot": 787.412347413339, "Qcold": 734.9784064332791, "Qambient": 1.0486788196012626, "Wshaft": 0.14274466535316827, "Bhot": 50.289787476502866, "Bcold": 53.81500321678774, "Bexhaust": 0.11842185678719329, "Sexhaust": 0.021038953416801624, "Qhot_over_Th": 2.514489373825116, "Qcold_over_Tc": 2.6907501608393773, "Qambient_over_Ta": 0.003577277228726633, "mode": "cycle", "duration_s": 320, "final_T_K": 311.29519645788537, "final_p_Pa": 101825.89987675248, "mass_residual_kg": 4.0115480381963664e-18, "energy_residual_J": -6.203038083185675e-12, "entropy_generation_JK": 0.3494223716217166, "exergy_residual_J": -6.9684258363622575e-12, "minimum_refrigeration_reset_work_J": 53.81500321678774, "last_cycle": { "Min": 7.163686830767384e-05, "Mout": 7.163686830767395e-05, "Hin": 21.09852457103483, "Hexhaust": 21.88338991027939, "Qhot": 98.23565590705925, "Qcold": 97.44873413519042, "Qambient": 0.015738435437410825, "Wshaft": 0.017794868059261157, "Bhot": 6.274031991509574, "Bcold": 7.135180972739491, "Bexhaust": 0.014807029468065558, "Sexhaust": 0.0026268405586776303, "Qhot_over_Th": 0.31370159957545996, "Qcold_over_Tc": 0.3567590486369667, "Qambient_over_Ta": 5.368731174278194e-05, "mean_inlet_gs": 0.0017909217076918459, "mean_shaft_W": 0.0004448717014815289, "minimum_cold_reset_power_W": 0.17837952431848728, "gas_and_wall_endpoint_change_J": 0.0, "gas_mass_endpoint_change_kg": 0.0 } }, "timed-head-recovery": { "m": 0.000567139692113481, "U": 126.66112744114606, "Tw": 311.54281503650606, "Tc": 273.15, "Min": 0.000559280246873801, "Mout": 0.0005941997129476272, "Hin": 164.71948466648874, "Hexhaust": 181.1940929117307, "Qhot": 787.0377326007402, "Qcold": 733.0472989531798, "Qambient": 1.0798086729510037, "Wshaft": 1.8051265611116043, "Bhot": 50.26586189370843, "Bcold": 53.67360783109526, "Bexhaust": 0.1121281205858585, "Sexhaust": 0.020733352707472116, "Qhot_over_Th": 2.513293094685427, "Qcold_over_Tc": 2.68368039155478, "Qambient_over_Ta": 0.0036834680980761783, "mode": "cycle", "duration_s": 320, "final_T_K": 311.21157859392025, "final_p_Pa": 101328.90195291681, "mass_residual_kg": -6.505213034913027e-19, "energy_residual_J": 3.552713678800501e-13, "entropy_generation_JK": 0.34320261486906234, "exergy_residual_J": 6.430633803233832e-12, "minimum_refrigeration_reset_work_J": 53.67360783109526, "last_cycle": { "Min": 7.405043961355529e-05, "Mout": 7.405043961355518e-05, "Hin": 21.809370741505802, "Hexhaust": 22.582462824004608, "Qhot": 98.17395264340973, "Qcold": 97.18582877400445, "Qambient": 0.019762477388030497, "Wshaft": 0.23479426429239791, "Bhot": 6.270091179524755, "Bcold": 7.115931083580897, "Bexhaust": 0.014027159349419227, "Sexhaust": 0.002589339666207169, "Qhot_over_Th": 0.31350455897624574, "Qcold_over_Tc": 0.3557965541790491, "Qambient_over_Ta": 6.741421588957403e-05, "mean_inlet_gs": 0.001851260990338882, "mean_shaft_W": 0.005869856607309948, "minimum_cold_reset_power_W": 0.1778982770895224, "gas_and_wall_endpoint_change_J": 0.0, "gas_mass_endpoint_change_kg": 0.0 } }, "ambient-cold-reference": { "m": 0.0005656369910374837, "U": 126.65815340311579, "Tw": 312.18617811751795, "Tc": 293.15, "Min": 0.00024459164539253277, "Mout": 0.0002810138125423627, "Hin": 72.03724788778, "Hexhaust": 86.95321316341169, "Qhot": 407.79949942720646, "Qcold": 324.0832637520043, "Qambient": -30.325675286495915, "Wshaft": 0.40033547491609606, "Bhot": 26.044994375040826, "Bcold": 0.0, "Bexhaust": 0.10321391922181611, "Sexhaust": 0.013937156204620132, "Qhot_over_Th": 1.302249718752059, "Qcold_over_Tc": 1.1055202584069703, "Qambient_over_Ta": -0.10344763870542859, "mode": "cycle", "duration_s": 320, "final_T_K": 312.03103294825166, "final_p_Pa": 101326.5227224926, "mass_residual_kg": 5.854691731421724e-18, "energy_residual_J": -6.693312570860144e-12, "entropy_generation_JK": 0.08195462910031456, "exergy_residual_J": -9.833689418314862e-12, "minimum_refrigeration_reset_work_J": 0.0, "last_cycle": { "Min": 3.4948367308733266e-05, "Mout": 3.494836730873516e-05, "Hin": 10.293009783927985, "Hexhaust": 10.814696410484785, "Qhot": 50.7901366958705, "Qcold": 46.30520478138419, "Qambient": -3.9103013617102533, "Wshaft": 0.05294392621915456, "Bhot": 3.2438215996084097, "Bcold": 0.0, "Bexhaust": 0.012870771410335435, "Sexhaust": 0.0017356843088711313, "Qhot_over_Th": 0.16219107998042803, "Qcold_over_Tc": 0.15795737602382254, "Qambient_over_Ta": -0.013338909642539365, "mean_inlet_gs": 0.0008737091827183317, "mean_shaft_W": 0.001323598155478864, "minimum_cold_reset_power_W": 0.0, "gas_and_wall_endpoint_change_J": 0.0, "gas_mass_endpoint_change_kg": 0.0 } }, "sealed": { "m": 0.0006020591581873078, "U": 118.0151959321228, "Tw": 273.1500000000127, "Tc": 273.15, "Min": 0.0, "Mout": 0.0, "Hin": 0.0, "Hexhaust": 0.0, "Qhot": 0.0, "Qcold": 48.641054069000155, "Qambient": 0.0, "Wshaft": 0.0, "Bhot": 0.0, "Bcold": 3.5614903217237184, "Bexhaust": 0.0, "Sexhaust": 0.0, "Qhot_over_Th": 0.0, "Qcold_over_Tc": 0.1780745160861857, "Qambient_over_Ta": 0.0, "mode": "sealed", "duration_s": 320, "final_T_K": 273.15000000001413, "final_p_Pa": 94412.15674569822, "mass_residual_kg": 0.0, "energy_residual_J": 1.1483862749628315e-09, "entropy_generation_JK": 0.006217576810456843, "exergy_residual_J": 1.0898488778110504e-09, "minimum_refrigeration_reset_work_J": 3.5614903217237184, "last_cycle": { "Min": 0.0, "Mout": 0.0, "Hin": 0.0, "Hexhaust": 0.0, "Qhot": 0.0, "Qcold": 2.5579538487363607e-10, "Qambient": 0.0, "Wshaft": 0.0, "Bhot": 0.0, "Bcold": 1.7763568394002505e-11, "Bexhaust": 0.0, "Sexhaust": 0.0, "Qhot_over_Th": 0.0, "Qcold_over_Tc": 8.881784197001252e-13, "Qambient_over_Ta": 0.0, "mean_inlet_gs": 0.0, "mean_shaft_W": 0.0, "minimum_cold_reset_power_W": 4.440892098500626e-13, "gas_and_wall_endpoint_change_J": 0.0, "gas_mass_endpoint_change_kg": 0.0 } }, "hold": { "m": 0.000646141834971987, "U": 126.65625, "Tw": 273.1500000000142, "Tc": 273.15, "Min": 4.408267678521147e-05, "Mout": 0.0, "Hin": 12.983250961137944, "Hexhaust": 0.0, "Qhot": 0.0, "Qcold": 52.981852286073675, "Qambient": 0.0, "Wshaft": 0.0013986760183743608, "Bhot": 0.0, "Bcold": 3.8793228838440914, "Bexhaust": 0.0, "Sexhaust": 0.0, "Qhot_over_Th": 0.0, "Qcold_over_Tc": 0.19396614419194375, "Qambient_over_Ta": 0.0, "mode": "hold", "duration_s": 320, "final_T_K": 273.15000000001703, "final_p_Pa": 101324.99999999997, "mass_residual_kg": -5.323093853724925e-16, "energy_residual_J": 9.82531389581709e-10, "entropy_generation_JK": 0.006767500627839235, "exergy_residual_J": 1.072478772456975e-09, "minimum_refrigeration_reset_work_J": 3.8793228838440914, "last_cycle": { "Min": 1.3552527156068805e-16, "Mout": 0.0, "Hin": 3.552713678800501e-11, "Hexhaust": 0.0, "Qhot": 0.0, "Qcold": 2.842170943040401e-10, "Qambient": 0.0, "Wshaft": 0.0, "Bhot": 0.0, "Bcold": 2.1316282072803006e-11, "Bexhaust": 0.0, "Sexhaust": 0.0, "Qhot_over_Th": 0.0, "Qcold_over_Tc": 9.992007221626409e-13, "Qambient_over_Ta": 0.0, "mean_inlet_gs": 3.3881317890172014e-15, "mean_shaft_W": 0.0, "minimum_cold_reset_power_W": 5.329070518200751e-13, "gas_and_wall_endpoint_change_J": 0.0, "gas_mass_endpoint_change_kg": 0.0 } }, "finite": { "m": 0.0005670267451577245, "U": 126.66086986798607, "Tw": 311.59093859972097, "Tc": 274.5848989368806, "Min": 0.0005467269589178777, "Mout": 0.0005817593719474673, "Hin": 161.02228431920747, "Hexhaust": 177.49711315006672, "Qhot": 772.5996587273542, "Qcold": 717.4494684402304, "Qambient": -0.05833363121446715, "Wshaft": 1.730530757633396, "Bhot": 49.34374317275139, "Bcold": 50.516177760908874, "Bexhaust": 0.11293729762449646, "Sexhaust": 0.020617869908145636, "Qhot_over_Th": 2.467187158637584, "Qcold_over_Tc": 2.6197020167188825, "Qambient_over_Ta": -0.0001989890200048818, "mode": "finite", "duration_s": 320, "final_T_K": 311.2729363274721, "final_p_Pa": 101328.69589438883, "mass_residual_kg": 6.288372600415926e-18, "energy_residual_J": 1.1375789199519204e-11, "entropy_generation_JK": 0.32951191655923945, "exergy_residual_J": 5.169420447259654e-12, "minimum_refrigeration_reset_work_J": 50.516177760908874, "last_cycle": { "Min": 7.112175623031784e-05, "Mout": 7.113661745029908e-05, "Hin": 20.946813516689787, "Hexhaust": 21.71627031238583, "Qhot": 94.79541798468938, "Qcold": 93.54404167308951, "Qambient": -0.25208295833274835, "Wshaft": 0.21720176013523362, "Bhot": 6.054313778361205, "Bcold": 6.358692562501666, "Bexhaust": 0.014211539219104355, "Sexhaust": 0.0025613792355128374, "Qhot_over_Th": 0.302715688918064, "Qcold_over_Tc": 0.34079049713659204, "Qambient_over_Ta": -0.0008599111660676788, "mean_inlet_gs": 0.001778043905757946, "mean_shaft_W": 0.005430044003380841, "minimum_cold_reset_power_W": 0.15896731406254166, "gas_and_wall_endpoint_change_J": 0.012634797435225664, "gas_mass_endpoint_change_kg": -1.4861219981400844e-08 } } }, "physical_measurements": 0, "scientific_gates": { "cooling_can_create_pressure_deficit_in_model": true, "timed_thermal_cycle_has_flow_in_model": true, "new_energy_from_void_established": false, "hardware_flow_or_work_validated": false, "net_vehicle_energy_benefit_established": false, "true_cryogenic_airflow_test_performed": false }, "limits": [ "Uniform dry ideal gas, calibrated coefficients absent; not 3-D conjugate heat-transfer CFD.", "Expander efficiency and head-sharing are specified inputs; no low-flow generator design is validated.", "Valve timing, pumps, switching electricity, refrigeration inefficiency and leakage need measurement.", "Minimum refrigeration cost is a lower bound, not actual input. Available waste cold may change marginal task cost.", "Thermal mass and valves change dynamics; heat exchanger/regen performance cannot be assumed.", "No physical cryogenic, freezing-water, wheel-fan, grip or magnetic-collision result is added." ] }