iapws.iapws97 module¶
IAPWS-IF97 standard implementation
The module implement the fundamental equation for the five regions (rectangular boxes) and the backward equation (marked in grey).
IAPWS97: Global module class with all the functionality integrated
- Fundamental equations:
- Backward equations:
- Boundary equations:
References:
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html
IAPWS, Revised Supplementary Release on Backward Equations for Pressure as a Function of Enthalpy and Entropy p(h,s) for Regions 1 and 2 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-PHS12-2014.pdf
IAPWS, Revised Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s), v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-Tv%28ph,ps%293-2014.pdf
IAPWS, Revised Supplementary Release on Backward Equations p(h,s) for Region 3, Equations as a Function of h and s for the Region Boundaries, and an Equation Tsat(h,s) for Region 4 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-phs3-2014.pdf
IAPWS, Revised Supplementary Release on Backward Equations for Specific Volume as a Function of Pressure and Temperature v(p,T) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-VPT3-2016.pdf
IAPWS, Revised Advisory Note No. 3: Thermodynamic Derivatives from IAPWS Formulations, http://www.iapws.org/relguide/Advise3.pdf
Wagner, W; Kretzschmar, H-J: International Steam Tables: Properties of Water and Steam Based on the Industrial Formulation IAPWS-IF97; Springer, 2008; doi: 10.1007/978-3-540-74234-0
-
iapws.iapws97._h13_s(s)[source]¶ Parameters: s (float) – Specific entropy, [kJ/kgK] Returns: h – Specific enthalpy, [kJ/kg] Return type: float Notes
Raise
NotImplementedErrorif input isn’t in limit:- s(100MPa,623.15K) ≤ s ≤ s’(623.15K)
References
IAPWS, Revised Supplementary Release on Backward Equations p(h,s) for Region 3, Equations as a Function of h and s for the Region Boundaries, and an Equation Tsat(h,s) for Region 4 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-phs3-2014.pdf. Eq 7
Examples
>>> _h13_s(3.7) 1632.525047 >>> _h13_s(3.5) 1566.104611
-
iapws.iapws97._P23_T(T)[source]¶ Parameters: T (float) – Temperature, [K] Returns: P – Pressure, [MPa] Return type: float References
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html, Eq 5
Examples
>>> _P23_T(623.15) 16.52916425
-
iapws.iapws97._t_P(P)[source]¶ Parameters: P (float) – Pressure, [MPa] Returns: T – Temperature, [K] Return type: float References
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html, Eq 5
Examples
>>> _t_P(16.52916425) 623.15
-
iapws.iapws97._t_hs(h, s)[source]¶ Parameters: Returns: T – Temperature, [K]
Return type: Notes
Raise
NotImplementedErrorif input isn’t in limit:- 5.048096828 ≤ s ≤ 5.260578707
- 2.563592004e3 ≤ h ≤ 2.812942061e3
References
IAPWS, Revised Supplementary Release on Backward Equations p(h,s) for Region 3, Equations as a Function of h and s for the Region Boundaries, and an Equation Tsat(h,s) for Region 4 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-phs3-2014.pdf. Eq 8
Examples
>>> _t_hs(2600, 5.1) 713.5259364 >>> _t_hs(2800, 5.2) 817.6202120
-
iapws.iapws97._PSat_T(T)[source]¶ Parameters: T (float) – Temperature, [K] Returns: P – Pressure, [MPa] Return type: float Notes
Raise
NotImplementedErrorif input isn’t in limit:- 273.15 ≤ T ≤ 647.096
References
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html, Eq 30
Examples
>>> _PSat_T(500) 2.63889776
-
iapws.iapws97._TSat_P(P)[source]¶ Parameters: P (float) – Pressure, [MPa] Returns: T – Temperature, [K] Return type: float Notes
Raise
NotImplementedErrorif input isn’t in limit:- 0.00061121 ≤ P ≤ 22.064
References
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html, Eq 31
Examples
>>> _TSat_P(10) 584.149488
-
iapws.iapws97._PSat_h(h)[source]¶ Define the saturated line, P=f(h) for region 3
Parameters: h (float) – Specific enthalpy, [kJ/kg] Returns: P – Pressure, [MPa] Return type: float Notes
Raise
NotImplementedErrorif input isn’t in limit:- h’(623.15K) ≤ h ≤ h’’(623.15K)
References
IAPWS, Revised Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s), v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-Tv%28ph,ps%293-2014.pdf, Eq 10
Examples
>>> _PSat_h(1700) 17.24175718 >>> _PSat_h(2400) 20.18090839
-
iapws.iapws97._PSat_s(s)[source]¶ Define the saturated line, P=f(s) for region 3
Parameters: s (float) – Specific entropy, [kJ/kgK] Returns: P – Pressure, [MPa] Return type: float Notes
Raise
NotImplementedErrorif input isn’t in limit:- s’(623.15K) ≤ s ≤ s’’(623.15K)
References
IAPWS, Revised Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s), v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-Tv%28ph,ps%293-2014.pdf, Eq 11
Examples
>>> _PSat_s(3.8) 16.87755057 >>> _PSat_s(5.2) 16.68968482
-
iapws.iapws97._h1_s(s)[source]¶ Parameters: s (float) – Specific entropy, [kJ/kgK] Returns: h – Specific enthalpy, [kJ/kg] Return type: float Notes
Raise
NotImplementedErrorif input isn’t in limit:- s’(273.15K) ≤ s ≤ s’(623.15K)
References
IAPWS, Revised Supplementary Release on Backward Equations p(h,s) for Region 3, Equations as a Function of h and s for the Region Boundaries, and an Equation Tsat(h,s) for Region 4 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-phs3-2014.pdf. Eq 3
Examples
>>> _h1_s(1) 308.5509647 >>> _h1_s(3) 1198.359754
-
iapws.iapws97._h3a_s(s)[source]¶ Parameters: s (float) – Specific entropy, [kJ/kgK] Returns: h – Specific enthalpy, [kJ/kg] Return type: float Notes
Raise
NotImplementedErrorif input isn’t in limit:- s’(623.15K) ≤ s ≤ sc
References
IAPWS, Revised Supplementary Release on Backward Equations p(h,s) for Region 3, Equations as a Function of h and s for the Region Boundaries, and an Equation Tsat(h,s) for Region 4 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-phs3-2014.pdf. Eq 4
Examples
>>> _h3a_s(3.8) 1685.025565 >>> _h3a_s(4.2) 1949.352563
-
iapws.iapws97._h2ab_s(s)[source]¶ Define the saturated line boundary between Region 4 and 2a-2b, h=f(s)
Parameters: s (float) – Specific entropy, [kJ/kgK] Returns: h – Specific enthalpy, [kJ/kg] Return type: float Notes
Raise
NotImplementedErrorif input isn’t in limit:- 5.85 ≤ s ≤ s”(273.15K)
References
IAPWS, Revised Supplementary Release on Backward Equations p(h,s) for Region 3, Equations as a Function of h and s for the Region Boundaries, and an Equation Tsat(h,s) for Region 4 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-phs3-2014.pdf. Eq 5
Examples
>>> _h2ab_s(7) 2723.729985 >>> _h2ab_s(9) 2511.861477
-
iapws.iapws97._h2c3b_s(s)[source]¶ Define the saturated line boundary between Region 4 and 2c-3b, h=f(s)
Parameters: s (float) – Specific entropy, [kJ/kgK] Returns: h – Specific enthalpy, [kJ/kg] Return type: float Notes
Raise
NotImplementedErrorif input isn’t in limit:- sc ≤ s ≤ 5.85
References
IAPWS, Revised Supplementary Release on Backward Equations p(h,s) for Region 3, Equations as a Function of h and s for the Region Boundaries, and an Equation Tsat(h,s) for Region 4 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-phs3-2014.pdf. Eq 6
Examples
>>> _h2c3b_s(5.5) 2687.693850 >>> _h2c3b_s(4.5) 2144.360448
-
iapws.iapws97._Region1(T, P)[source]¶ Basic equation for region 1
Parameters: Returns: prop –
Dict with calculated properties. The available properties are:
- v: Specific volume, [m³/kg]
- h: Specific enthalpy, [kJ/kg]
- s: Specific entropy, [kJ/kgK]
- cp: Specific isobaric heat capacity, [kJ/kgK]
- cv: Specific isocoric heat capacity, [kJ/kgK]
- w: Speed of sound, [m/s]
- alfav: Cubic expansion coefficient, [1/K]
- kt: Isothermal compressibility, [1/MPa]
Return type: References
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html, Eq 7
Examples
>>> _Region1(300,3)["v"] 0.00100215168 >>> _Region1(300,3)["h"] 115.331273 >>> _Region1(300,3)["h"]-3000*_Region1(300,3)["v"] 112.324818 >>> _Region1(300,80)["s"] 0.368563852 >>> _Region1(300,80)["cp"] 4.01008987 >>> _Region1(300,80)["cv"] 3.91736606 >>> _Region1(500,3)["w"] 1240.71337 >>> _Region1(500,3)["alfav"] 0.00164118128 >>> _Region1(500,3)["kt"] 0.00112892188
-
iapws.iapws97._Backward1_T_Ph(P, h)[source]¶ Backward equation for region 1, T=f(P,h) :param P: Pressure, [MPa] :type P: float :param h: Specific enthalpy, [kJ/kg] :type h: float
Returns: T – Temperature, [K] Return type: float References
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html, Eq 11
Examples
>>> _Backward1_T_Ph(3,500) 391.798509 >>> _Backward1_T_Ph(80,1500) 611.041229
-
iapws.iapws97._Backward1_T_Ps(P, s)[source]¶ Parameters: Returns: T – Temperature, [K]
Return type: References
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html, Eq 13
Examples
>>> _Backward1_T_Ps(3,0.5) 307.842258 >>> _Backward1_T_Ps(80,3) 565.899909
-
iapws.iapws97._Backward1_P_hs(h, s)[source]¶ Parameters: Returns: P – Pressure, [MPa]
Return type: References
IAPWS, Revised Supplementary Release on Backward Equations for Pressure as a Function of Enthalpy and Entropy p(h,s) for Regions 1 and 2 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-PHS12-2014.pdf, Eq 1
Examples
>>> _Backward1_P_hs(0.001,0) 0.0009800980612 >>> _Backward1_P_hs(90,0) 91.92954727 >>> _Backward1_P_hs(1500,3.4) 58.68294423
-
iapws.iapws97._Region2(T, P)[source]¶ Basic equation for region 2
Parameters: Returns: prop –
Dict with calculated properties. The available properties are:
- v: Specific volume, [m³/kg]
- h: Specific enthalpy, [kJ/kg]
- s: Specific entropy, [kJ/kgK]
- cp: Specific isobaric heat capacity, [kJ/kgK]
- cv: Specific isocoric heat capacity, [kJ/kgK]
- w: Speed of sound, [m/s]
- alfav: Cubic expansion coefficient, [1/K]
- kt: Isothermal compressibility, [1/MPa]
Return type: References
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html, Eq 15-17
Examples
>>> _Region2(700,30)["v"] 0.00542946619 >>> _Region2(700,30)["h"] 2631.49474 >>> _Region2(700,30)["h"]-30000*_Region2(700,30)["v"] 2468.61076 >>> _Region2(700,0.0035)["s"] 10.1749996 >>> _Region2(700,0.0035)["cp"] 2.08141274 >>> _Region2(700,0.0035)["cv"] 1.61978333 >>> _Region2(300,0.0035)["w"] 427.920172 >>> _Region2(300,0.0035)["alfav"] 0.00337578289 >>> _Region2(300,0.0035)["kt"] 286.239651
-
iapws.iapws97.Region2_cp0(Tr, Pr)[source]¶ Ideal properties for Region 2
Parameters: Returns: prop –
Array with ideal Gibbs energy partial derivatives:
- g: Ideal Specific Gibbs energy [kJ/kg]
- gp: ∂g/∂P|T
- gpp: ∂²g/∂P²|T
- gt: ∂g/∂T|P
- gtt: ∂²g/∂T²|P
- gpt: ∂²g/∂T∂P
Return type: array
References
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html, Eq 16
-
iapws.iapws97._P_2bc(h)[source]¶ Parameters: h (float) – Specific enthalpy, [kJ/kg] Returns: P – Pressure, [MPa] Return type: float References
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html, Eq 20
Examples
>>> _P_2bc(3516.004323) 100.0
-
iapws.iapws97._hbc_P(P)[source]¶ Parameters: P (float) – Pressure, [MPa] Returns: h – Specific enthalpy, [kJ/kg] Return type: float References
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html, Eq 21
Examples
>>> _hbc_P(100) 3516.004323
-
iapws.iapws97._hab_s(s)[source]¶ Parameters: s (float) – Specific entropy, [kJ/kgK] Returns: h – Specific enthalpy, [kJ/kg] Return type: float References
IAPWS, Revised Supplementary Release on Backward Equations for Pressure as a Function of Enthalpy and Entropy p(h,s) for Regions 1 and 2 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-PHS12-2014.pdf, Eq 2
Examples
>>> _hab_s(7) 3376.437884
-
iapws.iapws97._Backward2a_T_Ph(P, h)[source]¶ Parameters: Returns: T – Temperature, [K]
Return type: References
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html, Eq 22
Examples
>>> _Backward2a_T_Ph(0.001,3000) 534.433241 >>> _Backward2a_T_Ph(3,4000) 1010.77577
-
iapws.iapws97._Backward2b_T_Ph(P, h)[source]¶ Parameters: Returns: T – Temperature, [K]
Return type: References
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html, Eq 23
Examples
>>> _Backward2b_T_Ph(5,4000) 1015.31583 >>> _Backward2b_T_Ph(25,3500) 875.279054
-
iapws.iapws97._Backward2c_T_Ph(P, h)[source]¶ Parameters: Returns: T – Temperature, [K]
Return type: References
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html, Eq 24
Examples
>>> _Backward2c_T_Ph(40,2700) 743.056411 >>> _Backward2c_T_Ph(60,3200) 882.756860
-
iapws.iapws97._Backward2a_T_Ps(P, s)[source]¶ Parameters: Returns: T – Temperature, [K]
Return type: References
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html, Eq 25
Examples
>>> _Backward2a_T_Ps(0.1,7.5) 399.517097 >>> _Backward2a_T_Ps(2.5,8) 1039.84917
-
iapws.iapws97._Backward2b_T_Ps(P, s)[source]¶ Parameters: Returns: T – Temperature, [K]
Return type: References
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html, Eq 26
Examples
>>> _Backward2b_T_Ps(8,6) 600.484040 >>> _Backward2b_T_Ps(90,6) 1038.01126
-
iapws.iapws97._Backward2c_T_Ps(P, s)[source]¶ Parameters: Returns: T – Temperature, [K]
Return type: References
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html, Eq 27
Examples
>>> _Backward2c_T_Ps(20,5.75) 697.992849 >>> _Backward2c_T_Ps(80,5.75) 949.017998
-
iapws.iapws97._Backward2a_P_hs(h, s)[source]¶ Parameters: Returns: P – Pressure, [MPa]
Return type: References
IAPWS, Revised Supplementary Release on Backward Equations for Pressure as a Function of Enthalpy and Entropy p(h,s) for Regions 1 and 2 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-PHS12-2014.pdf, Eq 3
Examples
>>> _Backward2a_P_hs(2800,6.5) 1.371012767 >>> _Backward2a_P_hs(2800,9.5) 0.001879743844 >>> _Backward2a_P_hs(4100,9.5) 0.1024788997
-
iapws.iapws97._Backward2b_P_hs(h, s)[source]¶ Parameters: Returns: P – Pressure, [MPa]
Return type: References
IAPWS, Revised Supplementary Release on Backward Equations for Pressure as a Function of Enthalpy and Entropy p(h,s) for Regions 1 and 2 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-PHS12-2014.pdf, Eq 4
Examples
>>> _Backward2b_P_hs(2800,6) 4.793911442 >>> _Backward2b_P_hs(3600,6) 83.95519209 >>> _Backward2b_P_hs(3600,7) 7.527161441
-
iapws.iapws97._Backward2c_P_hs(h, s)[source]¶ Parameters: Returns: P – Pressure, [MPa]
Return type: References
IAPWS, Revised Supplementary Release on Backward Equations for Pressure as a Function of Enthalpy and Entropy p(h,s) for Regions 1 and 2 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-PHS12-2014.pdf, Eq 5
Examples
>>> _Backward2c_P_hs(2800,5.1) 94.39202060 >>> _Backward2c_P_hs(2800,5.8) 8.414574124 >>> _Backward2c_P_hs(3400,5.8) 83.76903879
-
iapws.iapws97._Region3(rho, T)[source]¶ Basic equation for region 3
Parameters: Returns: prop –
Dict with calculated properties. The available properties are:
- v: Specific volume, [m³/kg]
- h: Specific enthalpy, [kJ/kg]
- s: Specific entropy, [kJ/kgK]
- cp: Specific isobaric heat capacity, [kJ/kgK]
- cv: Specific isocoric heat capacity, [kJ/kgK]
- w: Speed of sound, [m/s]
- alfav: Cubic expansion coefficient, [1/K]
- kt: Isothermal compressibility, [1/MPa]
Return type: References
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html, Eq 28
Examples
>>> _Region3(500,650)["P"] 25.5837018 >>> _Region3(500,650)["h"] 1863.43019 >>> p = _Region3(500, 650) >>> p["h"]-p["P"]*1000*p["v"] 1812.26279 >>> _Region3(200,650)["s"] 4.85438792 >>> _Region3(200,650)["cp"] 44.6579342 >>> _Region3(200,650)["cv"] 4.04118076 >>> _Region3(200,650)["w"] 383.444594 >>> _Region3(500,750)["alfav"] 0.00441515098 >>> _Region3(500,750)["kt"] 0.00806710817
-
iapws.iapws97._h_3ab(P)[source]¶ Define the boundary between Region 3a-3b, h=f(P)
Parameters: P (float) – Pressure, [MPa] Returns: h – Specific enthalpy, [kJ/kg] Return type: float Examples
>>> _h_3ab(25) 2095.936454
-
iapws.iapws97._tab_P(P)[source]¶ Define the boundary between Region 3a-3b, T=f(P)
Parameters: P (float) – Pressure, [MPa] Returns: T – Temperature, [K] Return type: float References
IAPWS, Revised Supplementary Release on Backward Equations for Specific Volume as a Function of Pressure and Temperature v(p,T) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-VPT3-2016.pdf, Eq. 2
Examples
>>> _tab_P(40) 693.0341408
-
iapws.iapws97._top_P(P)[source]¶ Define the boundary between Region 3o-3p, T=f(P)
Parameters: P (float) – Pressure, [MPa] Returns: T – Temperature, [K] Return type: float References
IAPWS, Revised Supplementary Release on Backward Equations for Specific Volume as a Function of Pressure and Temperature v(p,T) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-VPT3-2016.pdf, Eq. 2
Examples
>>> _top_P(22.8) 650.0106943
-
iapws.iapws97._twx_P(P)[source]¶ Define the boundary between Region 3w-3x, T=f(P)
Parameters: P (float) – Pressure, [MPa] Returns: T – Temperature, [K] Return type: float References
IAPWS, Revised Supplementary Release on Backward Equations for Specific Volume as a Function of Pressure and Temperature v(p,T) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-VPT3-2016.pdf, Eq. 2
Examples
>>> _twx_P(22.3) 648.2049480
-
iapws.iapws97._tef_P(P)[source]¶ Define the boundary between Region 3e-3f, T=f(P)
Parameters: P (float) – Pressure, [MPa] Returns: T – Temperature, [K] Return type: float References
IAPWS, Revised Supplementary Release on Backward Equations for Specific Volume as a Function of Pressure and Temperature v(p,T) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-VPT3-2016.pdf, Eq. 3
Examples
>>> _tef_P(40) 713.9593992
-
iapws.iapws97._txx_P(P, xy)[source]¶ Define the boundary between 3x-3y, T=f(P)
Parameters: - P (float) – Pressure, [MPa]
- xy (string) – Subregions options: cd, gh, ij, jk, mn, qu, rx, uv
Returns: T – Temperature, [K]
Return type: References
IAPWS, Revised Supplementary Release on Backward Equations for Specific Volume as a Function of Pressure and Temperature v(p,T) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-VPT3-2016.pdf, Eq. 1
Examples
>>> _txx_P(25,"cd") 649.3659208 >>> _txx_P(23,"gh") 649.8873759 >>> _txx_P(23,"ij") 651.5778091 >>> _txx_P(23,"jk") 655.8338344 >>> _txx_P(22.8,"mn") 649.6054133 >>> _txx_P(22,"qu") 645.6355027 >>> _txx_P(22,"rx") 648.2622754 >>> _txx_P(22.3,"uv") 647.7996121
-
iapws.iapws97._Backward3a_v_Ph(P, h)[source]¶ Parameters: References
IAPWS, Revised Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s), v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-Tv%28ph,ps%293-2014.pdf, Eq 4
Returns: v – Specific volume, [m³/kg] Return type: float Examples
>>> _Backward3a_v_Ph(20,1700) 0.001749903962 >>> _Backward3a_v_Ph(100,2100) 0.001676229776
-
iapws.iapws97._Backward3b_v_Ph(P, h)[source]¶ Parameters: Returns: v – Specific volume, [m³/kg]
Return type: References
IAPWS, Revised Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s), v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-Tv%28ph,ps%293-2014.pdf, Eq 5
Examples
>>> _Backward3b_v_Ph(20,2500) 0.006670547043 >>> _Backward3b_v_Ph(100,2700) 0.002404234998
-
iapws.iapws97._Backward3_v_Ph(P, h)[source]¶ Parameters: Returns: v – Specific volume, [m³/kg]
Return type:
-
iapws.iapws97._Backward3a_T_Ph(P, h)[source]¶ Parameters: Returns: T – Temperature, [K]
Return type: References
IAPWS, Revised Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s), v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-Tv%28ph,ps%293-2014.pdf, Eq 2
Examples
>>> _Backward3a_T_Ph(20,1700) 629.3083892 >>> _Backward3a_T_Ph(100,2100) 733.6163014
-
iapws.iapws97._Backward3b_T_Ph(P, h)[source]¶ Parameters: Returns: T – Temperature, [K]
Return type: References
IAPWS, Revised Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s), v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-Tv%28ph,ps%293-2014.pdf, Eq 3
Examples
>>> _Backward3b_T_Ph(20,2500) 641.8418053 >>> _Backward3b_T_Ph(100,2700) 842.0460876
-
iapws.iapws97._Backward3a_v_Ps(P, s)[source]¶ Parameters: Returns: v – Specific volume, [m³/kg]
Return type: References
IAPWS, Revised Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s), v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-Tv%28ph,ps%293-2014.pdf, Eq 8
Examples
>>> _Backward3a_v_Ps(20,3.8) 0.001733791463 >>> _Backward3a_v_Ps(100,4) 0.001555893131
-
iapws.iapws97._Backward3b_v_Ps(P, s)[source]¶ Parameters: Returns: v – Specific volume, [m³/kg]
Return type: References
IAPWS, Revised Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s), v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-Tv%28ph,ps%293-2014.pdf, Eq 9
Examples
>>> _Backward3b_v_Ps(20,5) 0.006262101987 >>> _Backward3b_v_Ps(100,5) 0.002449610757
-
iapws.iapws97._Backward3_v_Ps(P, s)[source]¶ Parameters: Returns: v – Specific volume, [m³/kg]
Return type:
-
iapws.iapws97._Backward3a_T_Ps(P, s)[source]¶ Parameters: Returns: T – Temperature, [K]
Return type: References
IAPWS, Revised Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s), v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-Tv%28ph,ps%293-2014.pdf, Eq 6
Examples
>>> _Backward3a_T_Ps(20,3.8) 628.2959869 >>> _Backward3a_T_Ps(100,4) 705.6880237
-
iapws.iapws97._Backward3b_T_Ps(P, s)[source]¶ Parameters: Returns: T – Temperature, [K]
Return type: References
IAPWS, Revised Supplementary Release on Backward Equations for the Functions T(p,h), v(p,h) and T(p,s), v(p,s) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-Tv%28ph,ps%293-2014.pdf, Eq 7
Examples
>>> _Backward3b_T_Ps(20,5) 640.1176443 >>> _Backward3b_T_Ps(100,5) 847.4332825
-
iapws.iapws97._Backward3a_P_hs(h, s)[source]¶ Parameters: Returns: P – Pressure, [MPa]
Return type: References
IAPWS, Revised Supplementary Release on Backward Equations p(h,s) for Region 3, Equations as a Function of h and s for the Region Boundaries, and an Equation Tsat(h,s) for Region 4 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-phs3-2014.pdf. Eq 1
Examples
>>> _Backward3a_P_hs(1700,3.8) 25.55703246 >>> _Backward3a_P_hs(2000,4.2) 45.40873468 >>> _Backward3a_P_hs(2100,4.3) 60.78123340
-
iapws.iapws97._Backward3b_P_hs(h, s)[source]¶ Parameters: Returns: P – Pressure, [MPa]
Return type: References
IAPWS, Revised Supplementary Release on Backward Equations p(h,s) for Region 3, Equations as a Function of h and s for the Region Boundaries, and an Equation Tsat(h,s) for Region 4 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-phs3-2014.pdf. Eq 1
Examples
>>> _Backward3b_P_hs(2400,4.7) 63.63924887 >>> _Backward3b_P_hs(2600,5.1) 34.34999263 >>> _Backward3b_P_hs(2700,5.0) 88.39043281
-
iapws.iapws97._Backward3_sat_v_P(P, x)[source]¶ Parameters: Returns: v – Specific volume, [m³/kg]
Return type: Notes
The vapor quality (x) can be 0 (saturated liquid) or 1 (saturated vapour)
-
iapws.iapws97._Backward3_v_PT(P, T)[source]¶ Parameters: Returns: v – Specific volume, [m³/kg]
Return type: References
IAPWS, Revised Supplementary Release on Backward Equations for Specific Volume as a Function of Pressure and Temperature v(p,T) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-VPT3-2016.pdf, Table 2 and 10
-
iapws.iapws97._Backward3x_v_PT(P, T)[source]¶ Parameters: Returns: v – Specific volume, [m³/kg]
Return type: References
IAPWS, Revised Supplementary Release on Backward Equations for Specific Volume as a Function of Pressure and Temperature v(p,T) for Region 3 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-VPT3-2016.pdf, Eq. 4-5
Examples
>>> _Backward3x_v_PT(630,50,"a") 0.001470853100 >>> _Backward3x_v_PT(670,80,"a") 0.001503831359 >>> _Backward3x_v_PT(710,50,"b") 0.002204728587 >>> _Backward3x_v_PT(750,80,"b") 0.001973692940 >>> _Backward3x_v_PT(630,20,"c") 0.001761696406 >>> _Backward3x_v_PT(650,30,"c") 0.001819560617 >>> _Backward3x_v_PT(656,26,"d") 0.002245587720 >>> _Backward3x_v_PT(670,30,"d") 0.002506897702 >>> _Backward3x_v_PT(661,26,"e") 0.002970225962 >>> _Backward3x_v_PT(675,30,"e") 0.003004627086 >>> _Backward3x_v_PT(671,26,"f") 0.005019029401 >>> _Backward3x_v_PT(690,30,"f") 0.004656470142 >>> _Backward3x_v_PT(649,23.6,"g") 0.002163198378 >>> _Backward3x_v_PT(650,24,"g") 0.002166044161 >>> _Backward3x_v_PT(652,23.6,"h") 0.002651081407 >>> _Backward3x_v_PT(654,24,"h") 0.002967802335 >>> _Backward3x_v_PT(653,23.6,"i") 0.003273916816 >>> _Backward3x_v_PT(655,24,"i") 0.003550329864 >>> _Backward3x_v_PT(655,23.5,"j") 0.004545001142 >>> _Backward3x_v_PT(660,24,"j") 0.005100267704 >>> _Backward3x_v_PT(660,23,"k") 0.006109525997 >>> _Backward3x_v_PT(670,24,"k") 0.006427325645 >>> _Backward3x_v_PT(646,22.6,"l") 0.002117860851 >>> _Backward3x_v_PT(646,23,"l") 0.002062374674 >>> _Backward3x_v_PT(648.6,22.6,"m") 0.002533063780 >>> _Backward3x_v_PT(649.3,22.8,"m") 0.002572971781 >>> _Backward3x_v_PT(649,22.6,"n") 0.002923432711 >>> _Backward3x_v_PT(649.7,22.8,"n") 0.002913311494 >>> _Backward3x_v_PT(649.1,22.6,"o") 0.003131208996 >>> _Backward3x_v_PT(649.9,22.8,"o") 0.003221160278 >>> _Backward3x_v_PT(649.4,22.6,"p") 0.003715596186 >>> _Backward3x_v_PT(650.2,22.8,"p") 0.003664754790 >>> _Backward3x_v_PT(640,21.1,"q") 0.001970999272 >>> _Backward3x_v_PT(643,21.8,"q") 0.002043919161 >>> _Backward3x_v_PT(644,21.1,"r") 0.005251009921 >>> _Backward3x_v_PT(648,21.8,"r") 0.005256844741 >>> _Backward3x_v_PT(635,19.1,"s") 0.001932829079 >>> _Backward3x_v_PT(638,20,"s") 0.001985387227 >>> _Backward3x_v_PT(626,17,"t") 0.008483262001 >>> _Backward3x_v_PT(640,20,"t") 0.006227528101 >>> _Backward3x_v_PT(644.6,21.5,"u") 0.002268366647 >>> _Backward3x_v_PT(646.1,22,"u") 0.002296350553 >>> _Backward3x_v_PT(648.6,22.5,"v") 0.002832373260 >>> _Backward3x_v_PT(647.9,22.3,"v") 0.002811424405 >>> _Backward3x_v_PT(647.5,22.15,"w") 0.003694032281 >>> _Backward3x_v_PT(648.1,22.3,"w") 0.003622226305 >>> _Backward3x_v_PT(648,22.11,"x") 0.004528072649 >>> _Backward3x_v_PT(649,22.3,"x") 0.004556905799 >>> _Backward3x_v_PT(646.84,22,"y") 0.002698354719 >>> _Backward3x_v_PT(647.05,22.064,"y") 0.002717655648 >>> _Backward3x_v_PT(646.89,22,"z") 0.003798732962 >>> _Backward3x_v_PT(647.15,22.064,"z") 0.003701940009
-
iapws.iapws97._Region4(P, x)[source]¶ Basic equation for region 4
Parameters: Returns: prop –
Dict with calculated properties. The available properties are:
- T: Saturated temperature, [K]
- P: Saturated pressure, [MPa]
- x: Vapor quality, [-]
- v: Specific volume, [m³/kg]
- h: Specific enthalpy, [kJ/kg]
- s: Specific entropy, [kJ/kgK]
Return type:
-
iapws.iapws97._Backward4_T_hs(h, s)[source]¶ Parameters: Returns: T – Temperature, [K]
Return type: References
IAPWS, Revised Supplementary Release on Backward Equations p(h,s) for Region 3, Equations as a Function of h and s for the Region Boundaries, and an Equation Tsat(h,s) for Region 4 of the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam, http://www.iapws.org/relguide/Supp-phs3-2014.pdf. Eq 9
Examples
>>> _Backward4_T_hs(1800,5.3) 346.8475498 >>> _Backward4_T_hs(2400,6.0) 425.1373305 >>> _Backward4_T_hs(2500,5.5) 522.5579013
-
iapws.iapws97._Region5(T, P)[source]¶ Basic equation for region 5
Parameters: Returns: prop –
Dict with calculated properties. The available properties are:
- v: Specific volume, [m³/kg]
- h: Specific enthalpy, [kJ/kg]
- s: Specific entropy, [kJ/kgK]
- cp: Specific isobaric heat capacity, [kJ/kgK]
- cv: Specific isocoric heat capacity, [kJ/kgK]
- w: Speed of sound, [m/s]
- alfav: Cubic expansion coefficient, [1/K]
- kt: Isothermal compressibility, [1/MPa]
Return type: References
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html, Eq 32-34
Examples
>>> _Region5(1500,0.5)["v"] 1.38455090 >>> _Region5(1500,0.5)["h"] 5219.76855 >>> _Region5(1500,0.5)["h"]-500*_Region5(1500,0.5)["v"] 4527.49310 >>> _Region5(1500,30)["s"] 7.72970133 >>> _Region5(1500,30)["cp"] 2.72724317 >>> _Region5(1500,30)["cv"] 2.19274829 >>> _Region5(2000,30)["w"] 1067.36948 >>> _Region5(2000,30)["alfav"] 0.000508830641 >>> _Region5(2000,30)["kt"] 0.0329193892
-
iapws.iapws97.Region5_cp0(Tr, Pr)[source]¶ Ideal properties for Region 5
Parameters: Returns: prop –
Array with ideal Gibbs energy partial derivatives:
- g: Ideal Specific Gibbs energy, [kJ/kg]
- gp: [∂g/∂P]T
- gpp: [∂²g/∂P²]T
- gt: [∂g/∂T]P
- gtt: [∂²g/∂T²]P
- gpt: [∂²g/∂T∂P]
Return type: array
References
IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam August 2007, http://www.iapws.org/relguide/IF97-Rev.html, Eq 33
-
iapws.iapws97._Bound_TP(T, P)[source]¶ Region definition for input T and P
Parameters: Returns: region – IAPWS-97 region code
Return type: References
Wagner, W; Kretzschmar, H-J: International Steam Tables: Properties of Water and Steam Based on the Industrial Formulation IAPWS-IF97; Springer, 2008; doi: 10.1007/978-3-540-74234-0. Fig. 2.3
-
iapws.iapws97._Bound_Ph(P, h)[source]¶ Region definition for input P y h
Parameters: Returns: region – IAPWS-97 region code
Return type: References
Wagner, W; Kretzschmar, H-J: International Steam Tables: Properties of Water and Steam Based on the Industrial Formulation IAPWS-IF97; Springer, 2008; doi: 10.1007/978-3-540-74234-0. Fig. 2.5
-
iapws.iapws97._Bound_Ps(P, s)[source]¶ Region definition for input P and s
Parameters: Returns: region – IAPWS-97 region code
Return type: References
Wagner, W; Kretzschmar, H-J: International Steam Tables: Properties of Water and Steam Based on the Industrial Formulation IAPWS-IF97; Springer, 2008; doi: 10.1007/978-3-540-74234-0. Fig. 2.9
-
iapws.iapws97._Bound_hs(h, s)[source]¶ Region definition for input h and s
Parameters: Returns: region – IAPWS-97 region code
Return type: References
Wagner, W; Kretzschmar, H-J: International Steam Tables: Properties of Water and Steam Based on the Industrial Formulation IAPWS-IF97; Springer, 2008; doi: 10.1007/978-3-540-74234-0. Fig. 2.14
-
iapws.iapws97.prop0(T, P)[source]¶ Ideal gas properties
Parameters: Returns: prop –
Dict with calculated properties. The available properties are:
- v: Specific volume, [m³/kg]
- h: Specific enthalpy, [kJ/kg]
- s: Specific entropy, [kJ/kgK]
- cp: Specific isobaric heat capacity, [kJ/kgK]
- cv: Specific isocoric heat capacity, [kJ/kgK]
- w: Speed of sound, [m/s]
- alfav: Cubic expansion coefficient, [1/K]
- kt: Isothermal compressibility, [1/MPa]
Return type:
-
class
iapws.iapws97.IAPWS97(**kwargs)[source]¶ Class to model a state of liquid water or steam with the IAPWS-IF97
Parameters: Notes
Definitions options:
- T, P: Not valid for two-phases region
- P, h
- P, s
- h, s
- T, x: Only for two-phases region
- P, x: Only for two-phases region
Returns: prop – The calculated instance has the following properties:
- P: Pressure, [MPa]
- T: Temperature, [K]
- g: Specific Gibbs free energy, [kJ/kg]
- a: Specific Helmholtz free energy, [kJ/kg]
- v: Specific volume, [m³/kg]
- rho: Density, [kg/m³]
- h: Specific enthalpy, [kJ/kg]
- u: Specific internal energy, [kJ/kg]
- s: Specific entropy, [kJ/kg·K]
- cp: Specific isobaric heat capacity, [kJ/kg·K]
- cv: Specific isochoric heat capacity, [kJ/kg·K]
- Z: Compression factor, [-]
- fi: Fugacity coefficient, [-]
- f: Fugacity, [MPa]
- gamma: Isoentropic exponent, [-]
- alfav: Isobaric cubic expansion coefficient, [1/K]
- xkappa: Isothermal compressibility, [1/MPa]
- kappas: Adiabatic compresibility, [1/MPa]
- alfap: Relative pressure coefficient, [1/K]
- betap: Isothermal stress coefficient, [kg/m³]
- joule: Joule-Thomson coefficient, [K/MPa]
- deltat: Isothermal throttling coefficient, [kJ/kg·MPa]
- region: Region
- v0: Ideal specific volume, [m³/kg]
- u0: Ideal specific internal energy, [kJ/kg]
- h0: Ideal specific enthalpy, [kJ/kg]
- s0: Ideal specific entropy, [kJ/kg·K]
- a0: Ideal specific Helmholtz free energy, [kJ/kg]
- g0: Ideal specific Gibbs free energy, [kJ/kg]
- cp0: Ideal specific isobaric heat capacity, [kJ/kg·K]
- cv0: Ideal specific isochoric heat capacity [kJ/kg·K]
- w0: Ideal speed of sound, [m/s]
- gamma0: Ideal isoentropic exponent, [-]
- w: Speed of sound, [m/s]
- mu: Dynamic viscosity, [Pa·s]
- nu: Kinematic viscosity, [m²/s]
- k: Thermal conductivity, [W/m·K]
- alfa: Thermal diffusivity, [m²/s]
- sigma: Surface tension, [N/m]
- epsilon: Dielectric constant, [-]
- n: Refractive index, [-]
- Prandt: Prandtl number, [-]
- Pr: Reduced Pressure, [-]
- Tr: Reduced Temperature, [-]
- Hvap: Vaporization heat, [kJ/kg]
- Svap: Vaporization entropy, [kJ/kg·K]
Return type: dict Examples
>>> water=IAPWS97(T=170+273.15, x=0.5) >>> water.Liquid.cp, water.Vapor.cp, water.Liquid.w, water.Vapor.w 4.3695 2.5985 1418.3 498.78
>>> water=IAPWS97(T=325+273.15, x=0.5) >>> water.P, water.Liquid.v, water.Vapor.v, water.Liquid.h, water.Vapor.h 12.0505 0.00152830 0.0141887 1493.37 2684.48
>>> water=IAPWS97(T=50+273.15, P=0.0006112127) >>> water.cp0, water.cv0, water.h0, water.s0, water.w0 1.8714 1.4098 2594.66 9.471 444.93
Attributes: - Gruneisen
- Hvap
- IntP
- Ks
- Kt
- Liquid
- P
- Pr
- Prandt
- Svap
- T
- Tr
- Vapor
- Z
- Z_rho
- a
- a0
- alfa
- alfap
- alfav
- betap
- betas
calculableCheck if class is calculable by its kwargs
- cp
- cp0
- cp0_cv
- cp_cv
- cv
- cv0
- dhdP_T
- dhdP_rho
- dhdT_P
- dhdT_rho
- dhdrho_P
- dhdrho_T
- dpdT_rho
- dpdrho_T
- drhodP_T
- drhodT_P
- epsilon
- f
- fi
- g
- g0
- gamma
- gamma0
- h
- h0
- hInput
- joule
- k
- kappa
- ks
- kt
- mu
- n
- nu
- phase
- region
- rho
- s
- s0
- sigma
- u
- u0
- v
- v0
- w
- w0
- x
Methods
__call__(**kwargs)Invoke the solver. calculo()Calculate procedure derivative(z, x, y, fase)Wrapper derivative for custom derived properties where x, y, z can be: P, T, v, u, h, s, g, a fill(fase, estado)Fill phase properties -
M= 18.015257¶
-
Pc= 22.064¶
-
Tc= 647.096¶
-
rhoc= 322.0¶
-
Tt= 273.16¶
-
Tb= 373.1243¶
-
f_accent= 0.3443¶
-
dipole= 1.85498¶
-
status= 0¶
-
msg= 'Unknown variables'¶
-
_thermo= ''¶
-
region= None¶
-
Liquid= None¶
-
Vapor= None¶
-
T= None¶
-
P= None¶
-
v= None¶
-
rho= None¶
-
phase= None¶
-
x= None¶
-
Tr= None¶
-
Pr= None¶
-
sigma= None¶
-
v0= None¶
-
h0= None¶
-
u0= None¶
-
s0= None¶
-
a0= None¶
-
g0= None¶
-
cp0= None¶
-
cv0= None¶
-
cp0_cv= None¶
-
w0= None¶
-
gamma0= None¶
-
h= None¶
-
u= None¶
-
s= None¶
-
a= None¶
-
g= None¶
-
Hvap= None¶
-
Svap= None¶
-
kwargs= {'P': 0.0, 'T': 0.0, 'h': None, 'l': 0.5893, 's': None, 'v': 0.0, 'x': None}¶
-
calculable¶ Check if class is calculable by its kwargs
-
class
iapws.iapws97.IAPWS97_PT(P, T)[source]¶ Derivated class for direct P and T input
Attributes: - Gruneisen
- Hvap
- IntP
- Ks
- Kt
- Liquid
- P
- Pr
- Prandt
- Svap
- T
- Tr
- Vapor
- Z
- Z_rho
- a
- a0
- alfa
- alfap
- alfav
- betap
- betas
calculableCheck if class is calculable by its kwargs
- cp
- cp0
- cp0_cv
- cp_cv
- cv
- cv0
- dhdP_T
- dhdP_rho
- dhdT_P
- dhdT_rho
- dhdrho_P
- dhdrho_T
- dpdT_rho
- dpdrho_T
- drhodP_T
- drhodT_P
- epsilon
- f
- fi
- g
- g0
- gamma
- gamma0
- h
- h0
- hInput
- joule
- k
- kappa
- ks
- kt
- mu
- n
- nu
- phase
- region
- rho
- s
- s0
- sigma
- u
- u0
- v
- v0
- w
- w0
- x
Methods
__call__(**kwargs)Invoke the solver. calculo()Calculate procedure derivative(z, x, y, fase)Wrapper derivative for custom derived properties where x, y, z can be: P, T, v, u, h, s, g, a fill(fase, estado)Fill phase properties
-
class
iapws.iapws97.IAPWS97_Ph(P, h)[source]¶ Derivated class for direct P and h input
Attributes: - Gruneisen
- Hvap
- IntP
- Ks
- Kt
- Liquid
- P
- Pr
- Prandt
- Svap
- T
- Tr
- Vapor
- Z
- Z_rho
- a
- a0
- alfa
- alfap
- alfav
- betap
- betas
calculableCheck if class is calculable by its kwargs
- cp
- cp0
- cp0_cv
- cp_cv
- cv
- cv0
- dhdP_T
- dhdP_rho
- dhdT_P
- dhdT_rho
- dhdrho_P
- dhdrho_T
- dpdT_rho
- dpdrho_T
- drhodP_T
- drhodT_P
- epsilon
- f
- fi
- g
- g0
- gamma
- gamma0
- h
- h0
- hInput
- joule
- k
- kappa
- ks
- kt
- mu
- n
- nu
- phase
- region
- rho
- s
- s0
- sigma
- u
- u0
- v
- v0
- w
- w0
- x
Methods
__call__(**kwargs)Invoke the solver. calculo()Calculate procedure derivative(z, x, y, fase)Wrapper derivative for custom derived properties where x, y, z can be: P, T, v, u, h, s, g, a fill(fase, estado)Fill phase properties
-
class
iapws.iapws97.IAPWS97_Ps(P, s)[source]¶ Derivated class for direct P and s input
Attributes: - Gruneisen
- Hvap
- IntP
- Ks
- Kt
- Liquid
- P
- Pr
- Prandt
- Svap
- T
- Tr
- Vapor
- Z
- Z_rho
- a
- a0
- alfa
- alfap
- alfav
- betap
- betas
calculableCheck if class is calculable by its kwargs
- cp
- cp0
- cp0_cv
- cp_cv
- cv
- cv0
- dhdP_T
- dhdP_rho
- dhdT_P
- dhdT_rho
- dhdrho_P
- dhdrho_T
- dpdT_rho
- dpdrho_T
- drhodP_T
- drhodT_P
- epsilon
- f
- fi
- g
- g0
- gamma
- gamma0
- h
- h0
- hInput
- joule
- k
- kappa
- ks
- kt
- mu
- n
- nu
- phase
- region
- rho
- s
- s0
- sigma
- u
- u0
- v
- v0
- w
- w0
- x
Methods
__call__(**kwargs)Invoke the solver. calculo()Calculate procedure derivative(z, x, y, fase)Wrapper derivative for custom derived properties where x, y, z can be: P, T, v, u, h, s, g, a fill(fase, estado)Fill phase properties
-
class
iapws.iapws97.IAPWS97_Px(P, x)[source]¶ Derivated class for direct P and x input
Attributes: - Gruneisen
- Hvap
- IntP
- Ks
- Kt
- Liquid
- P
- Pr
- Prandt
- Svap
- T
- Tr
- Vapor
- Z
- Z_rho
- a
- a0
- alfa
- alfap
- alfav
- betap
- betas
calculableCheck if class is calculable by its kwargs
- cp
- cp0
- cp0_cv
- cp_cv
- cv
- cv0
- dhdP_T
- dhdP_rho
- dhdT_P
- dhdT_rho
- dhdrho_P
- dhdrho_T
- dpdT_rho
- dpdrho_T
- drhodP_T
- drhodT_P
- epsilon
- f
- fi
- g
- g0
- gamma
- gamma0
- h
- h0
- hInput
- joule
- k
- kappa
- ks
- kt
- mu
- n
- nu
- phase
- region
- rho
- s
- s0
- sigma
- u
- u0
- v
- v0
- w
- w0
- x
Methods
__call__(**kwargs)Invoke the solver. calculo()Calculate procedure derivative(z, x, y, fase)Wrapper derivative for custom derived properties where x, y, z can be: P, T, v, u, h, s, g, a fill(fase, estado)Fill phase properties
-
class
iapws.iapws97.IAPWS97_Tx(T, x)[source]¶ Derivated class for direct T and x input
Attributes: - Gruneisen
- Hvap
- IntP
- Ks
- Kt
- Liquid
- P
- Pr
- Prandt
- Svap
- T
- Tr
- Vapor
- Z
- Z_rho
- a
- a0
- alfa
- alfap
- alfav
- betap
- betas
calculableCheck if class is calculable by its kwargs
- cp
- cp0
- cp0_cv
- cp_cv
- cv
- cv0
- dhdP_T
- dhdP_rho
- dhdT_P
- dhdT_rho
- dhdrho_P
- dhdrho_T
- dpdT_rho
- dpdrho_T
- drhodP_T
- drhodT_P
- epsilon
- f
- fi
- g
- g0
- gamma
- gamma0
- h
- h0
- hInput
- joule
- k
- kappa
- ks
- kt
- mu
- n
- nu
- phase
- region
- rho
- s
- s0
- sigma
- u
- u0
- v
- v0
- w
- w0
- x
Methods
__call__(**kwargs)Invoke the solver. calculo()Calculate procedure derivative(z, x, y, fase)Wrapper derivative for custom derived properties where x, y, z can be: P, T, v, u, h, s, g, a fill(fase, estado)Fill phase properties