Files
CoolProp/dev/fluids/Helium.json
Ian Bell fc1484f828 Update critical splines
Signed-off-by: Ian Bell <ian.h.bell@gmail.com>
2014-09-27 11:22:37 +02:00

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{
"ALIASES": [
"helium",
"HELIUM",
"He"
],
"ANCILLARIES": {
"hL": {
"A": [
-431.38320408055574,
638.5830895390288,
-489.7782289369555,
215.11564551032293,
-56.455544148624895,
8.839500777665124,
-0.7643756414392752,
0.02809650240174938
],
"B": [
1,
-0.18438981201451518
],
"_note": "coefficients are in increasing order; input in K, output in J/mol; value is enthalpy minus hs_anchor enthalpy",
"max_abs_error": 0.022150387883478118,
"max_abs_error_units": "J/mol",
"type": "rational_polynomial"
},
"hLV": {
"A": [
371.5289910589138,
-571.9456578146065,
451.6088530510513,
-197.92198583824626,
51.0815547508716,
-7.8258724969299225,
0.6593021950668424,
-0.023424947592386735
],
"B": [
1,
-0.186370437531018
],
"_note": "coefficients are in increasing order; input in K, output in J/mol; value is enthalpy minus hs_anchor enthalpy",
"max_abs_error": 0.03436822003364881,
"max_abs_error_units": "J/mol",
"type": "rational_polynomial"
},
"melting_line": {
"BibTeX": "Datchi-PRB-2000",
"T_m": 1.15,
"parts": [
{
"T_0": 1,
"T_max": 700,
"T_min": 2.1768,
"a": 1606700.0,
"c": 1.565,
"p_0": -1606700.0
}
],
"type": "Simon"
},
"pL": {
"T_r": 5.1953,
"Tmax": 5.195299999999987,
"Tmin": 2.1768000000000103,
"description": "p' = pc*exp(Tc/T*sum(n_i*theta^t_i))",
"max_abserror_percentage": 0.009046990251626585,
"n": [
-2.5589967099484343,
-2.1208869241528903,
2.0304814035943877,
0.9702906562630098,
-0.006217789170073319,
-4.338734244510393
],
"reducing_value": 227600.0,
"t": [
0.981,
1.13,
1.536,
3.109,
0.338,
14.431
],
"type": "pL",
"using_tau_r": true
},
"pV": {
"T_r": 5.1953,
"Tmax": 5.195299999999987,
"Tmin": 2.1768000000000103,
"description": "p'' = pc*exp(Tc/T*sum(n_i*theta^t_i))",
"max_abserror_percentage": 0.009844391348079462,
"n": [
2.1680719893011937,
-5.75952731195631,
1.295833335273841,
0.42681936101289836,
0.49626229940990035,
-11.083693322102567
],
"reducing_value": 227600.0,
"t": [
0.896,
0.945,
2.116,
2.72,
6.555,
14.771
],
"type": "pV",
"using_tau_r": true
},
"rhoL": {
"T_r": 5.1953,
"Tmax": 5.195299999999987,
"Tmin": 2.1768000000000103,
"description": "rho' = rhoc*(1+sum(n_i*theta^t_i))",
"max_abserror_percentage": 0.01468301830127583,
"n": [
1.8225767219916278,
-0.5212838519553242,
0.2130685389843537,
-0.44861224586106435,
5.329845315529739,
-10.020970811883176
],
"reducing_value": 18130.0,
"t": [
0.402,
0.491,
0.941,
1.784,
8.213,
9.042
],
"type": "rhoLnoexp",
"using_tau_r": false
},
"rhoV": {
"T_r": 5.1953,
"Tmax": 5.195299999999987,
"Tmin": 2.1768000000000103,
"description": "rho'' = rhoc*exp(Tc/T*sum(n_i*theta^t_i))",
"max_abserror_percentage": 0.0694378509351723,
"n": [
-0.8412289332631507,
-3.590072534944493,
2.2788760536554777,
-1.4459129841887175,
2.0638632716793297,
-14.547720153618606
],
"reducing_value": 18130.0,
"t": [
0.211,
0.693,
0.749,
1.118,
1.846,
19.915
],
"type": "rhoV",
"using_tau_r": true
},
"sL": {
"A": [
-205.83355711479925,
349.2990053067296,
-275.68259549746017,
122.56872955362479,
-32.63350575596284,
5.1905810489487925,
-0.456408277860071,
0.01710499562467409
],
"B": [
1,
-0.17644509500055094
],
"_note": "coefficients are in increasing order; input in K, output in J/mol/K; value is entropy minus hs_anchor entropy",
"max_abs_error": 0.009621826373439113,
"max_abs_error_units": "J/mol/K",
"type": "rational_polynomial"
},
"sLV": {
"A": [
339.49787735366624,
-514.5161442734804,
380.77980301777467,
-163.118964862231,
42.360852162655526,
-6.612392146177472,
0.572543686217766,
-0.021164101060777908
],
"B": [
1,
-0.18207432736961326
],
"_note": "coefficients are in increasing order; input in K, output in J/mol/K; value is entropy minus hs_anchor entropy",
"max_abs_error": 0.014376220853541177,
"max_abs_error_units": "J/mol/K",
"type": "rational_polynomial"
},
"surface_tension": {
"BibTeX": "Mulero-JPCRD-2012",
"Tc": 5.1953,
"a": [
0.0004656,
0.001889,
-0.002006
],
"description": "sigma = sum(a_i*(1-T/Tc)^n_i)",
"n": [
1.04,
2.468,
2.661
]
}
},
"CAS": "7440-59-7",
"ENVIRONMENTAL": {
"ASHRAE34": "A1",
"FH": 0,
"GWP100": -1.0,
"GWP20": -1.0,
"GWP500": -1.0,
"HH": 0,
"Name": "Helium",
"ODP": -1.0,
"PH": 0
},
"EOS": [
{
"BibTeX_CP0": "",
"BibTeX_EOS": "OrtizVega-2010",
"STATES": {
"hs_anchor": {
"T": 5.71483,
"T_units": "K",
"hmolar": 65.53595731402356,
"hmolar_units": "J/mol",
"p": 312462.04944191116,
"p_units": "Pa",
"rhomolar": 15645.330000000002,
"rhomolar_units": "mol/m^3",
"smolar": 11.065445790671316,
"smolar_units": "J/mol/K"
},
"reducing": {
"T": 5.1953,
"T_units": "K",
"p": 227600,
"p_units": "Pa",
"rhomolar": 17383.7,
"rhomolar_units": "mol/m^3"
},
"sat_min_liquid": {
"T": 2.1768,
"T_units": "K",
"p": 5033.548896638174,
"p_units": "Pa",
"rhomolar": 36477.064583106585,
"rhomolar_units": "mol/m^3"
},
"sat_min_vapor": {
"T": 2.1768,
"T_units": "K",
"p": 5033.548896641127,
"p_units": "Pa",
"rhomolar": 293.4422131886783,
"rhomolar_units": "mol/m^3"
}
},
"T_max": 2000,
"T_max_units": "K",
"Ttriple": 2.1768,
"Ttriple_units": "K",
"accentric": -0.385,
"accentric_units": "-",
"alpha0": [
{
"a1": 0.1871304489697973,
"a2": 0.4848903984696551,
"type": "IdealGasHelmholtzLead"
},
{
"a": 1.5,
"type": "IdealGasHelmholtzLogTau"
},
{
"a1": -0.0278608575394308,
"a2": -0.00835828466224539,
"reference": "NBP",
"type": "IdealGasHelmholtzEnthalpyEntropyOffset"
}
],
"alphar": [
{
"d": [
4,
1,
1,
2,
2,
3,
1,
1,
3,
2,
2,
1
],
"l": [
0,
0,
0,
0,
0,
0,
1,
2,
2,
1,
2,
1
],
"n": [
0.014799269,
3.06281562,
-4.25338698,
0.05192797,
-0.165087335,
0.087236897,
2.10653786,
-0.6283503,
-0.28200301,
1.04234019,
-0.07620555,
-1.35006365
],
"t": [
1.0,
0.426,
0.631,
0.596,
1.705,
0.568,
0.9524,
1.471,
1.48,
1.393,
3.863,
0.803
],
"type": "ResidualHelmholtzPower"
},
{
"beta": [
8.005,
1.15,
2.143,
0.147,
0.154,
0.701,
0.21,
0.134,
19.256
],
"d": [
1,
1,
1,
2,
2,
2,
3,
2,
2
],
"epsilon": [
0.912,
0.79,
0.90567,
5.1136,
3.6022,
0.6488,
4.2753,
2.744,
0.8736
],
"eta": [
8.674,
4.006,
8.1099,
0.1449,
0.1784,
2.432,
0.0414,
0.421,
5.8575
],
"gamma": [
1.1475,
1.7036,
1.6795,
0.9512,
4.475,
2.7284,
1.7167,
1.5237,
0.7649
],
"n": [
0.11997252,
0.107245,
-0.35374839,
0.75348862,
0.00701871,
0.226283167,
-0.22464733,
0.12413584,
0.00901399
],
"t": [
3.273,
0.66,
2.629,
1.4379,
3.317,
2.3676,
0.7545,
1.353,
1.982
],
"type": "ResidualHelmholtzGaussian"
}
],
"critical_region_splines": {
"T_max": 5.1953000000000005,
"T_min": 5.19073171770731,
"_note": "Coefficients for the critical cubic spline. T = c[0]*rho^3 + c[1]*rho^2 + c[2]*rho + c[3] with rho in mol/m^3 and T in K",
"cL": [
-3.0333435224167437e-13,
1.5607506016709e-08,
-0.00026681298442982895,
6.710133323667334
],
"cV": [
0.0,
-4.479989405503328e-10,
1.624444158435496e-05,
5.048044137037824
],
"rhomolar_max": 19915.76431162559,
"rhomolar_min": 14936.712852945791
},
"gas_constant": 8.314472,
"gas_constant_units": "J/mol/K",
"molar_mass": 0.004002602,
"molar_mass_units": "kg/mol",
"p_max": 1000000000,
"p_max_units": "Pa",
"pseudo_pure": false
}
],
"NAME": "Helium",
"REFPROP_NAME": "HELIUM",
"STATES": {
"critical": {
"T": 5.1953,
"T_units": "K",
"p": 227600.0,
"p_units": "Pa",
"rhomolar": 18130.0,
"rhomolar_units": "mol/m^3"
},
"triple_liquid": {
"T": 2.1768,
"T_units": "K",
"p": 5033.548896638174,
"p_units": "Pa",
"rhomolar": 36477.064583106585,
"rhomolar_units": "mol/m^3"
},
"triple_vapor": {
"T": 2.1768,
"T_units": "K",
"p": 5033.548896641127,
"p_units": "Pa",
"rhomolar": 293.4422131886783,
"rhomolar_units": "mol/m^3"
}
},
"TRANSPORT": {
"conductivity": {
"BibTeX": "HANDS-CRYO-1981",
"hardcoded": "Helium"
},
"viscosity": {
"BibTeX": "ARP-NIST-1998",
"hardcoded": "Helium"
}
}
}