Cantera 2.6.0

Class for calculating the equation of state of water. More...
#include <WaterPropsIAPWS.h>
Public Member Functions  
WaterPropsIAPWS ()  
Base constructor. More...  
WaterPropsIAPWS (const WaterPropsIAPWS &right)=delete  
WaterPropsIAPWS &  operator= (const WaterPropsIAPWS &right)=delete 
void  setState_TR (doublereal temperature, doublereal rho) 
Set the internal state of the object wrt temperature and density. More...  
doublereal  helmholtzFE () const 
Calculate the Helmholtz free energy in mks units of J kmol1 K1, using the last temperature and density. More...  
doublereal  Gibbs () const 
Calculate the Gibbs free energy in mks units of J kmol1 K1. More...  
doublereal  enthalpy () const 
Calculate the enthalpy in mks units of J kmol1 using the last temperature and density. More...  
doublereal  intEnergy () const 
Calculate the internal energy in mks units of J kmol1. More...  
doublereal  entropy () const 
Calculate the entropy in mks units of J kmol1 K1. More...  
doublereal  cv () const 
Calculate the constant volume heat capacity in mks units of J kmol1 K1 at the last temperature and density. More...  
doublereal  cp () const 
Calculate the constant pressure heat capacity in mks units of J kmol1 K1 at the last temperature and density. More...  
doublereal  molarVolume () const 
Calculate the molar volume (kmol m3) at the last temperature and density. More...  
doublereal  pressure () const 
Calculates the pressure (Pascals), given the current value of the temperature and density. More...  
doublereal  density (doublereal temperature, doublereal pressure, int phase=1, doublereal rhoguess=1.0) 
Calculates the density given the temperature and the pressure, and a guess at the density. More...  
doublereal  density_const (doublereal pressure, int phase=1, doublereal rhoguess=1.0) const 
Calculates the density given the temperature and the pressure, and a guess at the density, while not changing the internal state. More...  
doublereal  density () const 
Returns the density (kg m3) More...  
doublereal  temperature () const 
Returns the temperature (Kelvin) More...  
doublereal  coeffThermExp () const 
Returns the coefficient of thermal expansion. More...  
doublereal  coeffPresExp () const 
Returns the isochoric pressure derivative wrt temperature. More...  
doublereal  isothermalCompressibility () const 
Returns the coefficient of isothermal compressibility for the state of the object. More...  
doublereal  dpdrho () const 
Returns the value of dp / drho at constant T for the state of the object. More...  
doublereal  psat_est (doublereal temperature) const 
This function returns an estimated value for the saturation pressure. More...  
doublereal  psat (doublereal temperature, int waterState=WATER_LIQUID) 
This function returns the saturation pressure given the temperature as an input parameter, and sets the internal state to the saturated conditions. More...  
doublereal  densSpinodalWater () const 
Return the value of the density at the water spinodal point (on the liquid side) for the current temperature. More...  
doublereal  densSpinodalSteam () const 
Return the value of the density at the water spinodal point (on the gas side) for the current temperature. More...  
int  phaseState (bool checkState=false) const 
Returns the Phase State flag for the current state of the object. More...  
doublereal  Tcrit () const 
Returns the critical temperature of water (Kelvin) More...  
doublereal  Pcrit () const 
Returns the critical pressure of water (22.064E6 Pa) More...  
doublereal  Rhocrit () const 
Return the critical density of water (kg m3) More...  
Private Member Functions  
void  calcDim (doublereal temperature, doublereal rho) 
Calculate the dimensionless temp and rho and store internally. More...  
void  corr (doublereal temperature, doublereal pressure, doublereal &densLiq, doublereal &densGas, doublereal &delGRT) 
Utility routine in the calculation of the saturation pressure. More...  
void  corr1 (doublereal temperature, doublereal pressure, doublereal &densLiq, doublereal &densGas, doublereal &pcorr) 
Utility routine in the calculation of the saturation pressure. More...  
Private Attributes  
WaterPropsIAPWSphi  m_phi 
pointer to the underlying object that does the calculations. More...  
doublereal  tau 
Dimensionless temperature, tau = T_C / T. More...  
doublereal  delta 
Dimensionless density, delta = rho / rho_c. More...  
int  iState 
Current state of the system. More...  
Class for calculating the equation of state of water.
This is a helper class for WaterSSTP and PDSS_Water and does not constitute a complete implementation of a thermo phase by itself (see Thermodynamic Properties and classes WaterSSTP and PDSS_Water).
The reference is W. Wagner, A. Pruss, "The IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use," J. Phys. Chem. Ref. Dat, 31, 387, 2002.
This class provides a very complicated polynomial for the specific Helmholtz free energy of water, as a function of temperature and density.
\[ \frac{M\hat{f}(\rho,T)}{R T} = \phi(\delta, \tau) = \phi^o(\delta, \tau) + \phi^r(\delta, \tau) \]
where
\[ \delta = \rho / \rho_c \quad \mathrm{and} \quad \tau = T_c / T \]
The following constants are assumed
\[ T_c = 647.096\mathrm{\;K} \]
\[ \rho_c = 322 \mathrm{\;kg\,m^{3}} \]
\[ R/M = 0.46151805 \mathrm{\;kJ\,kg^{1}\,K^{1}} \]
The free energy is a unique singlevalued function of the temperature and density over its entire range.
Note, the base thermodynamic state for this class is the one used in the steam tables, such that the liquid at the triple point for water has the following properties:
Therefore, to use this class within Cantera, offsets to u() and s() must be used to put the water class onto the same basis as other thermodynamic quantities. For example, in the WaterSSTP class, these offsets are calculated in the following way. The thermodynamic base state for water is set to the NIST basis here by specifying constants EW_Offset and SW_Offset. These offsets are calculated on the fly so that the following properties hold:
The offsets are calculated by actually computing the above quantities and then calculating the correction factor.
This class provides an interface to the WaterPropsIAPWSphi class, which actually calculates the \( \phi^o(\delta, \tau) \) and the \( \phi^r(\delta, \tau) \) polynomials in dimensionless form.
All thermodynamic results from this class are returned in dimensional form. This is because the gas constant (and molecular weight) used within this class is allowed to be potentially different than that used elsewhere in Cantera. Therefore, everything has to be in dimensional units. Note, however, the thermodynamic basis is set to that used in the steam tables. (u = s = 0 for liquid water at the triple point).
This class is not a ThermoPhase. However, it does maintain an internal state of the object that is dependent on temperature and density. The internal state is characterized by an internally stored \( \tau\) and a \( \delta \) value, and an iState value, which indicates whether the point is a liquid, a gas, or a supercritical fluid. Along with that the \( \tau\) and a \( \delta \) values are polynomials of \( \tau\) and a \( \delta \) that are kept by the WaterPropsIAPWSphi class. Therefore, whenever \( \tau\) or \( \delta \) is changed, the function setState() must be called in order for the internal state to be kept up to date.
The class is pretty straightforward. However, one function deserves mention. The density() function calculates the density that is consistent with a particular value of the temperature and pressure. It may therefore be multivalued or potentially there may be no answer from this function. It therefore takes a phase guess and a density guess as optional parameters. If no guesses are supplied to density(), a gas phase guess is assumed. This may or may not be what is wanted. Therefore, density() should usually at least be supplied with a phase guess so that it may manufacture an appropriate density guess. density() manufactures the initial density guess, nondimensionalizes everything, and then calls WaterPropsIAPWSphi::dfind(), which does the iterative calculation to find the density condition that matches the desired input pressure.
The phase guess defines are located in the .h file. they are
There are only three functions which actually change the value of the internal state of this object after it's been instantiated
The setState_TR() is the main function that sets the temperature and rho value. The density() function serves as a setState_TP() function, in that it sets internal state to a temperature and pressure. However, note that this is potentially multivalued. Therefore, we need to supply in addition a phase guess and a rho guess to the input temperature and pressure. The psat() function sets the internal state to the saturated liquid or saturated gas state, depending on the waterState parameter.
Because the underlying object WaterPropsIAPWSphi is privately held, you can be sure that the underlying state of this object doesn't change except due to the three function calls listed above.
Definition at line 162 of file WaterPropsIAPWS.h.
WaterPropsIAPWS  (  ) 
Base constructor.
Definition at line 38 of file WaterPropsIAPWS.cpp.
void setState_TR  (  doublereal  temperature, 
doublereal  rho  
) 
Set the internal state of the object wrt temperature and density.
temperature  temperature (kelvin) 
rho  density (kg m3) 
Definition at line 580 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWS::calcDim(), WaterPropsIAPWS::delta, WaterPropsIAPWS::m_phi, WaterPropsIAPWS::tau, WaterPropsIAPWSphi::tdpolycalc(), and WaterPropsIAPWS::temperature().
Referenced by WaterPropsIAPWS::density(), PDSS_Water::dthermalExpansionCoeffdT(), WaterSSTP::satPressure(), WaterSSTP::setDensity(), PDSS_Water::setDensity(), PDSS_Water::setState_TR(), WaterSSTP::setTemperature(), and PDSS_Water::setTemperature().
doublereal helmholtzFE  (  )  const 
Calculate the Helmholtz free energy in mks units of J kmol1 K1, using the last temperature and density.
Definition at line 62 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWS::delta, WaterPropsIAPWS::m_phi, WaterPropsIAPWSphi::phi(), Cantera::Rgas, Cantera::T_c, WaterPropsIAPWS::tau, and WaterPropsIAPWS::temperature().
doublereal Gibbs  (  )  const 
Calculate the Gibbs free energy in mks units of J kmol1 K1.
using the last temperature and density
Definition at line 267 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWSphi::gibbs_RT(), WaterPropsIAPWS::m_phi, Cantera::Rgas, Cantera::T_c, WaterPropsIAPWS::tau, and WaterPropsIAPWS::temperature().
Referenced by WaterSSTP::getGibbs_RT(), WaterSSTP::getStandardChemPotentials(), and PDSS_Water::gibbs_mole().
doublereal enthalpy  (  )  const 
Calculate the enthalpy in mks units of J kmol1 using the last temperature and density.
Definition at line 586 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWSphi::enthalpy_RT(), WaterPropsIAPWS::m_phi, Cantera::Rgas, Cantera::T_c, WaterPropsIAPWS::tau, and WaterPropsIAPWS::temperature().
Referenced by PDSS_Water::enthalpy_mole(), and WaterSSTP::getEnthalpy_RT().
doublereal intEnergy  (  )  const 
Calculate the internal energy in mks units of J kmol1.
Definition at line 593 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWSphi::intEnergy_RT(), WaterPropsIAPWS::m_phi, Cantera::Rgas, Cantera::T_c, WaterPropsIAPWS::tau, and WaterPropsIAPWS::temperature().
Referenced by WaterSSTP::getIntEnergy_RT(), and PDSS_Water::intEnergy_mole().
doublereal entropy  (  )  const 
Calculate the entropy in mks units of J kmol1 K1.
Definition at line 600 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWSphi::entropy_R(), WaterPropsIAPWS::m_phi, and Cantera::Rgas.
Referenced by PDSS_Water::entropy_mole(), and WaterSSTP::getEntropy_R().
doublereal cv  (  )  const 
Calculate the constant volume heat capacity in mks units of J kmol1 K1 at the last temperature and density.
Definition at line 606 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWSphi::cv_R(), WaterPropsIAPWS::m_phi, and Cantera::Rgas.
Referenced by PDSS_Water::cv_mole(), and WaterSSTP::cv_mole().
doublereal cp  (  )  const 
Calculate the constant pressure heat capacity in mks units of J kmol1 K1 at the last temperature and density.
Definition at line 612 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWSphi::cp_R(), WaterPropsIAPWS::m_phi, and Cantera::Rgas.
Referenced by PDSS_Water::cp_mole(), and WaterSSTP::getCp_R().
doublereal molarVolume  (  )  const 
Calculate the molar volume (kmol m3) at the last temperature and density.
Definition at line 618 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWS::delta, Cantera::M_water, and Cantera::Rho_c.
Referenced by PDSS_Water::molarVolume().
doublereal pressure  (  )  const 
Calculates the pressure (Pascals), given the current value of the temperature and density.
The density is an independent variable in the underlying equation of state
Definition at line 70 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWS::delta, WaterPropsIAPWS::m_phi, Cantera::M_water, WaterPropsIAPWSphi::pressureM_rhoRT(), Cantera::Rgas, Cantera::Rho_c, Cantera::T_c, WaterPropsIAPWS::tau, and WaterPropsIAPWS::temperature().
Referenced by WaterPropsIAPWS::corr(), WaterPropsIAPWS::corr1(), WaterPropsIAPWS::density(), WaterPropsIAPWS::density_const(), PDSS_Water::pressure(), and WaterSSTP::pressure().
doublereal density  (  doublereal  temperature, 
doublereal  pressure,  
int  phase = 1 , 

doublereal  rhoguess = 1.0 

) 
Calculates the density given the temperature and the pressure, and a guess at the density.
Sets the internal state.
Note, below T_c, this is a multivalued function.
The density() function calculates the density that is consistent with a particular value of the temperature and pressure. It may therefore be multivalued or potentially there may be no answer from this function. It therefore takes a phase guess and a density guess as optional parameters. If no guesses are supplied to density(), a gas phase guess is assumed. This may or may not be what is wanted. Therefore, density() should usually at least be supplied with a phase guess so that it may manufacture an appropriate density guess. density() manufactures the initial density guess, nondimensionalizes everything, and then calls WaterPropsIAPWSphi::dfind(), which does the iterative calculation to find the density condition that matches the desired input pressure.
temperature  Kelvin 
pressure  Pressure in Pascals (Newton/m**2) 
phase  guessed phase of water; 1: no guessed phase 
rhoguess  guessed density of the water; 1.0 no guessed density 
Definition at line 78 of file WaterPropsIAPWS.cpp.
References Cantera::M_water, Cantera::P_c, WaterPropsIAPWS::pressure(), Cantera::Rgas, Cantera::Rho_c, WaterPropsIAPWS::setState_TR(), Cantera::T_c, and WaterPropsIAPWS::temperature().
Referenced by WaterProps::coeffThermalExp_IAPWS(), WaterProps::density_IAPWS(), PDSS_Water::dthermalExpansionCoeffdT(), and WaterProps::isothermalCompressibility_IAPWS().
doublereal density_const  (  doublereal  pressure, 
int  phase = 1 , 

doublereal  rhoguess = 1.0 

)  const 
Calculates the density given the temperature and the pressure, and a guess at the density, while not changing the internal state.
Note, below T_c, this is a multivalued function.
The density() function calculates the density that is consistent with a particular value of the temperature and pressure. It may therefore be multivalued or potentially there may be no answer from this function. It therefore takes a phase guess and a density guess as optional parameters. If no guesses are supplied to density(), a gas phase guess is assumed. This may or may not be what is wanted. Therefore, density() should usually at least be supplied with a phase guess so that it may manufacture an appropriate density guess. density() manufactures the initial density guess, nondimensionalizes everything, and then calls WaterPropsIAPWSphi::dfind(), which does the iterative calculation to find the density condition that matches the desired input pressure.
pressure  Pressure in Pascals (Newton/m**2) 
phase  guessed phase of water; 1: no guessed phase 
rhoguess  guessed density of the water; 1.0: no guessed density 
Definition at line 138 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWS::delta, Cantera::M_water, WaterPropsIAPWS::pressure(), Cantera::Rgas, Cantera::T_c, WaterPropsIAPWS::tau, and WaterPropsIAPWS::temperature().
Referenced by WaterPropsIAPWS::densSpinodalSteam(), and WaterPropsIAPWS::densSpinodalWater().
doublereal density  (  )  const 
Returns the density (kg m3)
The density is an independent variable in the underlying equation of state
Definition at line 192 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWS::delta, and Cantera::Rho_c.
Referenced by WaterPropsIAPWS::corr(), WaterPropsIAPWS::corr1(), and WaterPropsIAPWS::psat().
doublereal temperature  (  )  const 
Returns the temperature (Kelvin)
Definition at line 197 of file WaterPropsIAPWS.cpp.
References Cantera::T_c, and WaterPropsIAPWS::tau.
Referenced by WaterPropsIAPWS::calcDim(), WaterPropsIAPWS::corr(), WaterPropsIAPWS::corr1(), WaterPropsIAPWS::density(), WaterPropsIAPWS::density_const(), WaterPropsIAPWS::densSpinodalSteam(), WaterPropsIAPWS::densSpinodalWater(), WaterPropsIAPWS::dpdrho(), WaterPropsIAPWS::enthalpy(), WaterPropsIAPWS::Gibbs(), WaterPropsIAPWS::helmholtzFE(), WaterPropsIAPWS::intEnergy(), WaterPropsIAPWS::pressure(), WaterPropsIAPWS::psat(), and WaterPropsIAPWS::setState_TR().
doublereal coeffThermExp  (  )  const 
Returns the coefficient of thermal expansion.
alpha = d (ln V) / dT at constant P.
Definition at line 259 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWS::isothermalCompressibility().
Referenced by PDSS_Water::dthermalExpansionCoeffdT(), PDSS_Water::thermalExpansionCoeff(), and WaterSSTP::thermalExpansionCoeff().
doublereal coeffPresExp  (  )  const 
Returns the isochoric pressure derivative wrt temperature.
beta = M / (rho * Rgas) (d (pressure) / dT) at constant rho
Note for ideal gases this is equal to one.
beta = delta (phi0_d() + phiR_d())  tau delta (phi0_dt() + phiR_dt())
Definition at line 254 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWS::delta, WaterPropsIAPWSphi::dimdpdT(), WaterPropsIAPWS::m_phi, and WaterPropsIAPWS::tau.
doublereal isothermalCompressibility  (  )  const 
Returns the coefficient of isothermal compressibility for the state of the object.
kappa =  d (ln V) / dP at constant T.
units  1/Pascal
Definition at line 240 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWS::delta, WaterPropsIAPWS::dpdrho(), and Cantera::Rho_c.
Referenced by WaterPropsIAPWS::coeffThermExp(), PDSS_Water::isothermalCompressibility(), and WaterSSTP::isothermalCompressibility().
doublereal dpdrho  (  )  const 
Returns the value of dp / drho at constant T for the state of the object.
units  Joules / kg
Definition at line 247 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWS::delta, WaterPropsIAPWSphi::dimdpdrho(), WaterPropsIAPWS::m_phi, Cantera::M_water, Cantera::Rgas, Cantera::T_c, WaterPropsIAPWS::tau, and WaterPropsIAPWS::temperature().
Referenced by WaterPropsIAPWS::isothermalCompressibility().
doublereal psat_est  (  doublereal  temperature  )  const 
This function returns an estimated value for the saturation pressure.
It does this via a polynomial fit of the vapor pressure curve. units = (Pascals)
temperature  Input temperature (Kelvin) 
Definition at line 202 of file WaterPropsIAPWS.cpp.
Referenced by WaterPropsIAPWS::densSpinodalSteam(), WaterPropsIAPWS::densSpinodalWater(), and PDSS_Water::pref_safe().
doublereal psat  (  doublereal  temperature, 
int  waterState = WATER_LIQUID 

) 
This function returns the saturation pressure given the temperature as an input parameter, and sets the internal state to the saturated conditions.
Note this function will return the saturation pressure, given the temperature. It will then set the state of the system to the saturation condition. The input parameter waterState is used to either specify the liquid state or the gas state at the desired temperature and saturated pressure.
If the input temperature, T, is above T_c, this routine will set the internal state to T and the pressure to P_c. Then, return P_c.
temperature  input temperature (kelvin) 
waterState  integer specifying the water state 
Definition at line 323 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWS::density(), Cantera::P_c, Cantera::T_c, and WaterPropsIAPWS::temperature().
Referenced by PDSS_Water::satPressure(), and WaterSSTP::satPressure().
doublereal densSpinodalWater  (  )  const 
Return the value of the density at the water spinodal point (on the liquid side) for the current temperature.
Definition at line 405 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWS::delta, WaterPropsIAPWS::density_const(), WaterPropsIAPWS::psat_est(), Cantera::Rho_c, Cantera::T_c, WaterPropsIAPWS::tau, and WaterPropsIAPWS::temperature().
doublereal densSpinodalSteam  (  )  const 
Return the value of the density at the water spinodal point (on the gas side) for the current temperature.
Definition at line 493 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWS::delta, WaterPropsIAPWS::density_const(), WaterPropsIAPWS::psat_est(), Cantera::Rho_c, Cantera::T_c, WaterPropsIAPWS::tau, and WaterPropsIAPWS::temperature().
int phaseState  (  bool  checkState = false  )  const 
Returns the Phase State flag for the current state of the object.
checkState  If true, this function does a complete check to see where in parameters space we are 
There are three values:
Definition at line 365 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWS::iState, and WaterPropsIAPWS::tau.
Referenced by WaterSSTP::phaseOfMatter().

inline 
Returns the critical temperature of water (Kelvin)
This is hard coded to the value 647.096 Kelvin
Definition at line 380 of file WaterPropsIAPWS.h.
Referenced by PDSS_Water::critTemperature(), WaterSSTP::critTemperature(), PDSS_Water::pref_safe(), and WaterSSTP::vaporFraction().

inline 
Returns the critical pressure of water (22.064E6 Pa)
This is hard coded to the value of 22.064E6 pascals
Definition at line 388 of file WaterPropsIAPWS.h.
Referenced by PDSS_Water::critPressure(), WaterSSTP::critPressure(), and PDSS_Water::pref_safe().

inline 
Return the critical density of water (kg m3)
This is equal to 322 kg m3.
Definition at line 396 of file WaterPropsIAPWS.h.
Referenced by PDSS_Water::critDensity(), WaterSSTP::critDensity(), and WaterSSTP::vaporFraction().

private 
Calculate the dimensionless temp and rho and store internally.
temperature  input temperature (kelvin) 
rho  density in kg m3 
Definition at line 45 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWS::delta, WaterPropsIAPWS::iState, Cantera::Rho_c, Cantera::T_c, WaterPropsIAPWS::tau, and WaterPropsIAPWS::temperature().
Referenced by WaterPropsIAPWS::setState_TR().

private 
Utility routine in the calculation of the saturation pressure.
Calculate the Gibbs free energy in mks units of J kmol1 K1.
temperature  temperature (kelvin) 
pressure  pressure (Pascal) 
densLiq  Output density of liquid 
densGas  output Density of gas 
delGRT  output delGRT 
Definition at line 274 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWS::density(), WaterPropsIAPWS::pressure(), and WaterPropsIAPWS::temperature().

private 
Utility routine in the calculation of the saturation pressure.
temperature  temperature (kelvin) 
pressure  pressure (Pascal) 
densLiq  Output density of liquid 
densGas  output Density of gas 
pcorr  output corrected pressure 
Definition at line 298 of file WaterPropsIAPWS.cpp.
References WaterPropsIAPWS::density(), WaterPropsIAPWS::pressure(), and WaterPropsIAPWS::temperature().

mutableprivate 
pointer to the underlying object that does the calculations.
Definition at line 433 of file WaterPropsIAPWS.h.
Referenced by WaterPropsIAPWS::coeffPresExp(), WaterPropsIAPWS::cp(), WaterPropsIAPWS::cv(), WaterPropsIAPWS::dpdrho(), WaterPropsIAPWS::enthalpy(), WaterPropsIAPWS::entropy(), WaterPropsIAPWS::Gibbs(), WaterPropsIAPWS::helmholtzFE(), WaterPropsIAPWS::intEnergy(), WaterPropsIAPWS::pressure(), and WaterPropsIAPWS::setState_TR().

private 
Dimensionless temperature, tau = T_C / T.
Definition at line 436 of file WaterPropsIAPWS.h.
Referenced by WaterPropsIAPWS::calcDim(), WaterPropsIAPWS::coeffPresExp(), WaterPropsIAPWS::density_const(), WaterPropsIAPWS::densSpinodalSteam(), WaterPropsIAPWS::densSpinodalWater(), WaterPropsIAPWS::dpdrho(), WaterPropsIAPWS::enthalpy(), WaterPropsIAPWS::Gibbs(), WaterPropsIAPWS::helmholtzFE(), WaterPropsIAPWS::intEnergy(), WaterPropsIAPWS::phaseState(), WaterPropsIAPWS::pressure(), WaterPropsIAPWS::setState_TR(), and WaterPropsIAPWS::temperature().

mutableprivate 
Dimensionless density, delta = rho / rho_c.
Definition at line 439 of file WaterPropsIAPWS.h.
Referenced by WaterPropsIAPWS::calcDim(), WaterPropsIAPWS::coeffPresExp(), WaterPropsIAPWS::density(), WaterPropsIAPWS::density_const(), WaterPropsIAPWS::densSpinodalSteam(), WaterPropsIAPWS::densSpinodalWater(), WaterPropsIAPWS::dpdrho(), WaterPropsIAPWS::helmholtzFE(), WaterPropsIAPWS::isothermalCompressibility(), WaterPropsIAPWS::molarVolume(), WaterPropsIAPWS::pressure(), and WaterPropsIAPWS::setState_TR().

mutableprivate 
Current state of the system.
Definition at line 442 of file WaterPropsIAPWS.h.
Referenced by WaterPropsIAPWS::calcDim(), and WaterPropsIAPWS::phaseState().