Cantera 2.6.0

Public Member Functions | Protected Member Functions | Protected Attributes | List of all members
IdealGasPhase Class Reference
Models of Phases of Matter » Thermodynamic Properties

Class IdealGasPhase represents low-density gases that obey the ideal gas equation of state. More...

`#include <IdealGasPhase.h>`

Inheritance diagram for IdealGasPhase:
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Collaboration diagram for IdealGasPhase:
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## Public Member Functions
| IdealGasPhase (const std::string &inputFile="", const std::string &id="")
| Construct and initialize an IdealGasPhase ThermoPhase object directly from an ASCII input file. More...
| IdealGasPhase (XML_Node &phaseRef, const std::string &id="")
| Construct and initialize an IdealGasPhase ThermoPhase object directly from an XML database. More...
virtual std::string | type () const
| String indicating the thermodynamic model implemented. More...
virtual bool | isIdeal () const
| Boolean indicating whether phase is ideal. More...
virtual std::string | phaseOfMatter () const
| String indicating the mechanical phase of the matter in this Phase. More...
virtual bool | addSpecies (shared_ptr< Species > spec)
virtual void | setToEquilState (const doublereal *mu_RT)
| This method is used by the ChemEquil equilibrium solver. More...
Molar Thermodynamic Properties of the Solution
virtual doublereal | enthalpy_mole () const
| Return the Molar enthalpy. Units: J/kmol. More...
virtual doublereal | entropy_mole () const
| Molar entropy. More...
virtual doublereal | cp_mole () const
| Molar heat capacity at constant pressure. More...
virtual doublereal | cv_mole () const
| Molar heat capacity at constant volume. More...
Mechanical Equation of State
virtual doublereal | pressure () const
| Pressure. More...
virtual void | setPressure (doublereal p)
| Set the pressure at constant temperature and composition. More...
virtual void | setState_RP (doublereal rho, doublereal p)
| Set the density and pressure at constant composition. More...
virtual doublereal | isothermalCompressibility () const
| Returns the isothermal compressibility. Units: 1/Pa. More...
virtual doublereal | thermalExpansionCoeff () const
| Return the volumetric thermal expansion coefficient. Units: 1/K. More...
Chemical Potentials and Activities
The activity \(a_k\) of a species in solution is related to the chemical potential by \[ \mu_k(T,P,X_k) = \mu_k^0(T,P) + \hat R T \log a_k. \] The quantity \(\mu_k^0(T,P)\) is the standard state chemical potential at unit activity. It may depend on the pressure and the temperature. However, it may not depend on the mole fractions of the species in the solution. The activities are related to the generalized concentrations, \(\tilde C_k\), and standard concentrations, \(C^0_k\), by the following formula: \[ a_k = \frac{\tilde C_k}{C^0_k} \] The generalized concentrations are used in the kinetics classes to describe the rates of progress of reactions involving the species. Their formulation depends upon the specification of the rate constants for reaction, especially the units used in specifying the rate constants. The bridge between the thermodynamic equilibrium expressions that use a_k and the kinetics expressions which use the generalized concentrations is provided by the multiplicative factor of the standard concentrations.
virtual void | getActivityConcentrations (doublereal *c) const
| This method returns the array of generalized concentrations. More...
virtual doublereal | standardConcentration (size_t k=0) const
| Returns the standard concentration \( C^0_k \), which is used to normalize the generalized concentration. More...
virtual void | getActivityCoefficients (doublereal *ac) const
| Get the array of non-dimensional activity coefficients at the current solution temperature, pressure, and solution concentration. More...
Partial Molar Properties of the Solution
virtual void | getChemPotentials (doublereal *mu) const
| Get the species chemical potentials. Units: J/kmol. More...
virtual void | getPartialMolarEnthalpies (doublereal *hbar) const
| Returns an array of partial molar enthalpies for the species in the mixture. More...
virtual void | getPartialMolarEntropies (doublereal *sbar) const
| Returns an array of partial molar entropies of the species in the solution. More...
virtual void | getPartialMolarIntEnergies (doublereal *ubar) const
| Return an array of partial molar internal energies for the species in the mixture. More...
virtual void | getPartialMolarCp (doublereal *cpbar) const
| Return an array of partial molar heat capacities for the species in the mixture. More...
virtual void | getPartialMolarVolumes (doublereal *vbar) const
| Return an array of partial molar volumes for the species in the mixture. More...
Properties of the Standard State of the Species in the Solution
virtual void | getStandardChemPotentials (doublereal *mu) const
| Get the array of chemical potentials at unit activity for the species at their standard states at the current T and P of the solution. More...
virtual void | getEnthalpy_RT (doublereal *hrt) const
| Get the nondimensional Enthalpy functions for the species at their standard states at the current T and P of the solution. More...
virtual void | getEntropy_R (doublereal *sr) const
| Get the array of nondimensional Entropy functions for the standard state species at the current T and P of the solution. More...
virtual void | getGibbs_RT (doublereal *grt) const
| Get the nondimensional Gibbs functions for the species in their standard states at the current T and P of the solution. More...
virtual void | getPureGibbs (doublereal *gpure) const
| Get the Gibbs functions for the standard state of the species at the current T and P of the solution. More...
virtual void | getIntEnergy_RT (doublereal *urt) const
| Returns the vector of nondimensional Internal Energies of the standard state species at the current T and P of the solution. More...
virtual void | getCp_R (doublereal *cpr) const
| Get the nondimensional Heat Capacities at constant pressure for the species standard states at the current T and P of the solution. More...
virtual void | getStandardVolumes (doublereal *vol) const
| Get the molar volumes of the species standard states at the current T and P of the solution. More...
Thermodynamic Values for the Species Reference States
virtual void | getEnthalpy_RT_ref (doublereal *hrt) const
| Returns the vector of nondimensional enthalpies of the reference state at the current temperature of the solution and the reference pressure for the species. More...
virtual void | getGibbs_RT_ref (doublereal *grt) const
| Returns the vector of nondimensional Gibbs Free Energies of the reference state at the current temperature of the solution and the reference pressure for the species. More...
virtual void | getGibbs_ref (doublereal *g) const
| Returns the vector of the Gibbs function of the reference state at the current temperature of the solution and the reference pressure for the species. More...
virtual void | getEntropy_R_ref (doublereal *er) const
| Returns the vector of nondimensional entropies of the reference state at the current temperature of the solution and the reference pressure for each species. More...
virtual void | getIntEnergy_RT_ref (doublereal *urt) const
| Returns the vector of nondimensional internal Energies of the reference state at the current temperature of the solution and the reference pressure for each species. More...
virtual void | getCp_R_ref (doublereal *cprt) const
| Returns the vector of nondimensional constant pressure heat capacities of the reference state at the current temperature of the solution and reference pressure for each species. More...
virtual void | getStandardVolumes_ref (doublereal *vol) const
| Get the molar volumes of the species reference states at the current T and P_ref of the solution. More...
NonVirtual Internal methods to Return References to Reference State Thermo
const vector_fp & | enthalpy_RT_ref () const
| Returns a reference to the dimensionless reference state enthalpy vector. More...
const vector_fp & | gibbs_RT_ref () const
| Returns a reference to the dimensionless reference state Gibbs free energy vector. More...
const vector_fp & | entropy_R_ref () const
| Returns a reference to the dimensionless reference state Entropy vector. More...
const vector_fp & | cp_R_ref () const
| Returns a reference to the dimensionless reference state Heat Capacity vector. More...
Public Member Functions inherited from ThermoPhase
| ThermoPhase ()
| Constructor. More...
doublereal | RT () const
| Return the Gas Constant multiplied by the current temperature. More...
double | equivalenceRatio () const
| Compute the equivalence ratio for the current mixture from available oxygen and required oxygen. More...
virtual doublereal | refPressure () const
| Returns the reference pressure in Pa. More...
virtual doublereal | minTemp (size_t k=npos) const
| Minimum temperature for which the thermodynamic data for the species or phase are valid. More...
doublereal | Hf298SS (const size_t k) const
| Report the 298 K Heat of Formation of the standard state of one species (J kmol-1) More...
virtual void | modifyOneHf298SS (const size_t k, const doublereal Hf298New)
| Modify the value of the 298 K Heat of Formation of one species in the phase (J kmol-1) More...
virtual void | resetHf298 (const size_t k=npos)
| Restore the original heat of formation of one or more species. More...
virtual doublereal | maxTemp (size_t k=npos) const
| Maximum temperature for which the thermodynamic data for the species are valid. More...
bool | chargeNeutralityNecessary () const
| Returns the chargeNeutralityNecessity boolean. More...
virtual doublereal | intEnergy_mole () const
| Molar internal energy. Units: J/kmol. More...
virtual doublereal | gibbs_mole () const
| Molar Gibbs function. Units: J/kmol. More...
void | setElectricPotential (doublereal v)
| Set the electric potential of this phase (V). More...
doublereal | electricPotential () const
| Returns the electric potential of this phase (V). More...
virtual int | activityConvention () const
| This method returns the convention used in specification of the activities, of which there are currently two, molar- and molality-based conventions. More...
virtual int | standardStateConvention () const
| This method returns the convention used in specification of the standard state, of which there are currently two, temperature based, and variable pressure based. More...
virtual Units | standardConcentrationUnits () const
| Returns the units of the "standard concentration" for this phase. More...
virtual doublereal | logStandardConc (size_t k=0) const
| Natural logarithm of the standard concentration of the kth species. More...
virtual void | getActivities (doublereal *a) const
| Get the array of non-dimensional activities at the current solution temperature, pressure, and solution concentration. More...
virtual void | getLnActivityCoefficients (doublereal *lnac) const
| Get the array of non-dimensional molar-based ln activity coefficients at the current solution temperature, pressure, and solution concentration. More...
virtual void | getChemPotentials_RT (doublereal *mu) const
| Get the array of non-dimensional species chemical potentials These are partial molar Gibbs free energies. More...
void | getElectrochemPotentials (doublereal *mu) const
| Get the species electrochemical potentials. More...
doublereal | enthalpy_mass () const
| Specific enthalpy. Units: J/kg. More...
doublereal | intEnergy_mass () const
| Specific internal energy. Units: J/kg. More...
doublereal | entropy_mass () const
| Specific entropy. Units: J/kg/K. More...
doublereal | gibbs_mass () const
| Specific Gibbs function. Units: J/kg. More...
doublereal | cp_mass () const
| Specific heat at constant pressure. Units: J/kg/K. More...
doublereal | cv_mass () const
| Specific heat at constant volume. Units: J/kg/K. More...
virtual void | setState_TPX (doublereal t, doublereal p, const doublereal *x)
| Set the temperature (K), pressure (Pa), and mole fractions. More...
virtual void | setState_TPX (doublereal t, doublereal p, const compositionMap &x)
| Set the temperature (K), pressure (Pa), and mole fractions. More...
virtual void | setState_TPX (doublereal t, doublereal p, const std::string &x)
| Set the temperature (K), pressure (Pa), and mole fractions. More...
virtual void | setState_TPY (doublereal t, doublereal p, const doublereal *y)
| Set the internally stored temperature (K), pressure (Pa), and mass fractions of the phase. More...
virtual void | setState_TPY (doublereal t, doublereal p, const compositionMap &y)
| Set the internally stored temperature (K), pressure (Pa), and mass fractions of the phase. More...
virtual void | setState_TPY (doublereal t, doublereal p, const std::string &y)
| Set the internally stored temperature (K), pressure (Pa), and mass fractions of the phase. More...
virtual void | setState_TP (doublereal t, doublereal p)
| Set the temperature (K) and pressure (Pa) More...
virtual void | setState_PX (doublereal p, doublereal *x)
| Set the pressure (Pa) and mole fractions. More...
virtual void | setState_PY (doublereal p, doublereal *y)
| Set the internally stored pressure (Pa) and mass fractions. More...
virtual void | setState_HP (double h, double p, double tol=1e-9)
| Set the internally stored specific enthalpy (J/kg) and pressure (Pa) of the phase. More...
virtual void | setState_UV (double u, double v, double tol=1e-9)
| Set the specific internal energy (J/kg) and specific volume (m^3/kg). More...
virtual void | setState_SP (double s, double p, double tol=1e-9)
| Set the specific entropy (J/kg/K) and pressure (Pa). More...
virtual void | setState_SV (double s, double v, double tol=1e-9)
| Set the specific entropy (J/kg/K) and specific volume (m^3/kg). More...
virtual void | setState_ST (double s, double t, double tol=1e-9)
| Set the specific entropy (J/kg/K) and temperature (K). More...
virtual void | setState_TV (double t, double v, double tol=1e-9)
| Set the temperature (K) and specific volume (m^3/kg). More...
virtual void | setState_PV (double p, double v, double tol=1e-9)
| Set the pressure (Pa) and specific volume (m^3/kg). More...
virtual void | setState_UP (double u, double p, double tol=1e-9)
| Set the specific internal energy (J/kg) and pressure (Pa). More...
virtual void | setState_VH (double v, double h, double tol=1e-9)
| Set the specific volume (m^3/kg) and the specific enthalpy (J/kg) More...
virtual void | setState_TH (double t, double h, double tol=1e-9)
| Set the temperature (K) and the specific enthalpy (J/kg) More...
virtual void | setState_SH (double s, double h, double tol=1e-9)
| Set the specific entropy (J/kg/K) and the specific enthalpy (J/kg) More...
virtual void | setState_RPX (doublereal rho, doublereal p, const doublereal *x)
| Set the density (kg/m**3), pressure (Pa) and mole fractions. More...
virtual void | setState_RPX (doublereal rho, doublereal p, const compositionMap &x)
| Set the density (kg/m**3), pressure (Pa) and mole fractions. More...
virtual void | setState_RPX (doublereal rho, doublereal p, const std::string &x)
| Set the density (kg/m**3), pressure (Pa) and mole fractions. More...
virtual void | setState_RPY (doublereal rho, doublereal p, const doublereal *y)
| Set the density (kg/m**3), pressure (Pa) and mass fractions. More...
virtual void | setState_RPY (doublereal rho, doublereal p, const compositionMap &y)
| Set the density (kg/m**3), pressure (Pa) and mass fractions. More...
virtual void | setState_RPY (doublereal rho, doublereal p, const std::string &y)
| Set the density (kg/m**3), pressure (Pa) and mass fractions. More...
virtual void | setState (const AnyMap &state)
| Set the state using an AnyMap containing any combination of properties supported by the thermodynamic model. More...
void | setMixtureFraction (double mixFrac, const double *fuelComp, const double *oxComp, ThermoBasis basis=ThermoBasis::molar)
| Set the mixture composition according to the mixture fraction = kg fuel / (kg oxidizer + kg fuel) More...
void | setMixtureFraction (double mixFrac, const std::string &fuelComp, const std::string &oxComp, ThermoBasis basis=ThermoBasis::molar)
| Set the mixture composition according to the mixture fraction = kg fuel / (kg oxidizer + kg fuel) More...
void | setMixtureFraction (double mixFrac, const compositionMap &fuelComp, const compositionMap &oxComp, ThermoBasis basis=ThermoBasis::molar)
| Set the mixture composition according to the mixture fraction = kg fuel / (kg oxidizer + kg fuel) More...
double | mixtureFraction (const double *fuelComp, const double *oxComp, ThermoBasis basis=ThermoBasis::molar, const std::string &element="Bilger") const
| Compute the mixture fraction = kg fuel / (kg oxidizer + kg fuel) for the current mixture given fuel and oxidizer compositions. More...
double | mixtureFraction (const std::string &fuelComp, const std::string &oxComp, ThermoBasis basis=ThermoBasis::molar, const std::string &element="Bilger") const
| Compute the mixture fraction = kg fuel / (kg oxidizer + kg fuel) for the current mixture given fuel and oxidizer compositions. More...
double | mixtureFraction (const compositionMap &fuelComp, const compositionMap &oxComp, ThermoBasis basis=ThermoBasis::molar, const std::string &element="Bilger") const
| Compute the mixture fraction = kg fuel / (kg oxidizer + kg fuel) for the current mixture given fuel and oxidizer compositions. More...
void | setEquivalenceRatio (double phi, const double *fuelComp, const double *oxComp, ThermoBasis basis=ThermoBasis::molar)
| Set the mixture composition according to the equivalence ratio. More...
void | setEquivalenceRatio (double phi, const std::string &fuelComp, const std::string &oxComp, ThermoBasis basis=ThermoBasis::molar)
| Set the mixture composition according to the equivalence ratio. More...
void | setEquivalenceRatio (double phi, const compositionMap &fuelComp, const compositionMap &oxComp, ThermoBasis basis=ThermoBasis::molar)
| Set the mixture composition according to the equivalence ratio. More...
double | equivalenceRatio (const double *fuelComp, const double *oxComp, ThermoBasis basis=ThermoBasis::molar) const
| Compute the equivalence ratio for the current mixture given the compositions of fuel and oxidizer. More...
double | equivalenceRatio (const std::string &fuelComp, const std::string &oxComp, ThermoBasis basis=ThermoBasis::molar) const
| Compute the equivalence ratio for the current mixture given the compositions of fuel and oxidizer. More...
double | equivalenceRatio (const compositionMap &fuelComp, const compositionMap &oxComp, ThermoBasis basis=ThermoBasis::molar) const
| Compute the equivalence ratio for the current mixture given the compositions of fuel and oxidizer. More...
double | stoichAirFuelRatio (const double *fuelComp, const double *oxComp, ThermoBasis basis=ThermoBasis::molar) const
| Compute the stoichiometric air to fuel ratio (kg oxidizer / kg fuel) given fuel and oxidizer compositions. More...
double | stoichAirFuelRatio (const std::string &fuelComp, const std::string &oxComp, ThermoBasis basis=ThermoBasis::molar) const
| Compute the stoichiometric air to fuel ratio (kg oxidizer / kg fuel) given fuel and oxidizer compositions. More...
double | stoichAirFuelRatio (const compositionMap &fuelComp, const compositionMap &oxComp, ThermoBasis basis=ThermoBasis::molar) const
| Compute the stoichiometric air to fuel ratio (kg oxidizer / kg fuel) given fuel and oxidizer compositions. More...
void | equilibrate (const std::string &XY, const std::string &solver="auto", double rtol=1e-9, int max_steps=50000, int max_iter=100, int estimate_equil=0, int log_level=0)
| Equilibrate a ThermoPhase object. More...
virtual bool | compatibleWithMultiPhase () const
| Indicates whether this phase type can be used with class MultiPhase for equilibrium calculations. More...
virtual doublereal | critTemperature () const
| Critical temperature (K). More...
virtual doublereal | critPressure () const
| Critical pressure (Pa). More...
virtual doublereal | critVolume () const
| Critical volume (m3/kmol). More...
virtual doublereal | critCompressibility () const
| Critical compressibility (unitless). More...
virtual doublereal | critDensity () const
| Critical density (kg/m3). More...
virtual doublereal | satTemperature (doublereal p) const
| Return the saturation temperature given the pressure. More...
virtual doublereal | satPressure (doublereal t)
| Return the saturation pressure given the temperature. More...
virtual doublereal | vaporFraction () const
| Return the fraction of vapor at the current conditions. More...
virtual void | setState_Tsat (doublereal t, doublereal x)
| Set the state to a saturated system at a particular temperature. More...
virtual void | setState_Psat (doublereal p, doublereal x)
| Set the state to a saturated system at a particular pressure. More...
void | setState_TPQ (double T, double P, double Q)
| Set the temperature, pressure, and vapor fraction (quality). More...
virtual void | modifySpecies (size_t k, shared_ptr< Species > spec)
| Modify the thermodynamic data associated with a species. More...
void | saveSpeciesData (const size_t k, const XML_Node *const data)
| Store a reference pointer to the XML tree containing the species data for this phase. More...
const std::vector< const XML_Node * > & | speciesData () const
| Return a pointer to the vector of XML nodes containing the species data for this phase. More...
virtual MultiSpeciesThermo & | speciesThermo (int k=-1)
| Return a changeable reference to the calculation manager for species reference-state thermodynamic properties. More...
virtual const MultiSpeciesThermo & | speciesThermo (int k=-1) const
void | initThermoFile (const std::string &inputFile, const std::string &id)
virtual void | initThermoXML (XML_Node &phaseNode, const std::string &id)
| Import and initialize a ThermoPhase object using an XML tree. More...
virtual void | initThermo ()
| Initialize the ThermoPhase object after all species have been set up. More...
virtual void | setParameters (int n, doublereal *const c)
| Set the equation of state parameters. More...
virtual void | getParameters (int &n, doublereal *const c) const
| Get the equation of state parameters in a vector. More...
virtual void | setParameters (const AnyMap &phaseNode, const AnyMap &rootNode=AnyMap())
| Set equation of state parameters from an AnyMap phase description. More...
AnyMap | parameters (bool withInput=true) const
| Returns the parameters of a ThermoPhase object such that an identical one could be reconstructed using the newPhase(AnyMap&) function. More...
virtual void | getSpeciesParameters (const std::string &name, AnyMap &speciesNode) const
| Get phase-specific parameters of a Species object such that an identical one could be reconstructed and added to this phase. More...
const AnyMap & | input () const
| Access input data associated with the phase description. More...
AnyMap & | input ()
virtual void | setParametersFromXML (const XML_Node &eosdata)
| Set equation of state parameter values from XML entries. More...
virtual void | setStateFromXML (const XML_Node &state)
| Set the initial state of the phase to the conditions specified in the state XML element. More...
virtual void | invalidateCache ()
| Invalidate any cached values which are normally updated only when a change in state is detected. More...
virtual void | getdlnActCoeffds (const doublereal dTds, const doublereal *const dXds, doublereal *dlnActCoeffds) const
| Get the change in activity coefficients wrt changes in state (temp, mole fraction, etc) along a line in parameter space or along a line in physical space. More...
virtual void | getdlnActCoeffdlnX_diag (doublereal *dlnActCoeffdlnX_diag) const
| Get the array of ln mole fraction derivatives of the log activity coefficients - diagonal component only. More...
virtual void | getdlnActCoeffdlnN_diag (doublereal *dlnActCoeffdlnN_diag) const
| Get the array of log species mole number derivatives of the log activity coefficients. More...
virtual void | getdlnActCoeffdlnN (const size_t ld, doublereal *const dlnActCoeffdlnN)
| Get the array of derivatives of the log activity coefficients with respect to the log of the species mole numbers. More...
virtual void | getdlnActCoeffdlnN_numderiv (const size_t ld, doublereal *const dlnActCoeffdlnN)
virtual std::string | report (bool show_thermo=true, doublereal threshold=-1e-14) const
| returns a summary of the state of the phase as a string More...
virtual void | reportCSV (std::ofstream &csvFile) const
| returns a summary of the state of the phase to a comma separated file. More...
Public Member Functions inherited from Phase
| Phase ()
| Default constructor. More...
| Phase (const Phase &)=delete
Phase & | operator= (const Phase &)=delete
XML_Node & | xml () const
| Returns a const reference to the XML_Node that describes the phase. More...
void | setXMLdata (XML_Node &xmlPhase)
| Stores the XML tree information for the current phase. More...
virtual bool | isPure () const
| Return whether phase represents a pure (single species) substance. More...
virtual bool | hasPhaseTransition () const
| Return whether phase represents a substance with phase transitions. More...
virtual bool | isCompressible () const
| Return whether phase represents a compressible substance. More...
virtual std::map< std::string, size_t > | nativeState () const
| Return a map of properties defining the native state of a substance. More...
virtual std::vector< std::string > | fullStates () const
| Return a vector containing full states defining a phase. More...
virtual std::vector< std::string > | partialStates () const
| Return a vector of settable partial property sets within a phase. More...
virtual size_t | stateSize () const
| Return size of vector defining internal state of the phase. More...
void | saveState (vector_fp &state) const
| Save the current internal state of the phase. More...
virtual void | saveState (size_t lenstate, doublereal *state) const
| Write to array 'state' the current internal state. More...
void | restoreState (const vector_fp &state)
| Restore a state saved on a previous call to saveState. More...
virtual void | restoreState (size_t lenstate, const doublereal *state)
| Restore the state of the phase from a previously saved state vector. More...
doublereal | molecularWeight (size_t k) const
| Molecular weight of species `k`. More...
void | getMolecularWeights (vector_fp &weights) const
| Copy the vector of molecular weights into vector weights. More...
void | getMolecularWeights (doublereal *weights) const
| Copy the vector of molecular weights into array weights. More...
const vector_fp & | molecularWeights () const
| Return a const reference to the internal vector of molecular weights. More...
void | getCharges (double *charges) const
| Copy the vector of species charges into array charges. More...
doublereal | elementalMassFraction (const size_t m) const
| Elemental mass fraction of element m. More...
doublereal | elementalMoleFraction (const size_t m) const
| Elemental mole fraction of element m. More...
const double * | moleFractdivMMW () const
| Returns a const pointer to the start of the moleFraction/MW array. More...
doublereal | charge (size_t k) const
| Dimensionless electrical charge of a single molecule of species k The charge is normalized by the the magnitude of the electron charge. More...
doublereal | chargeDensity () const
| Charge density [C/m^3]. More...
size_t | nDim () const
| Returns the number of spatial dimensions (1, 2, or 3) More...
void | setNDim (size_t ndim)
| Set the number of spatial dimensions (1, 2, or 3). More...
virtual bool | ready () const
| Returns a bool indicating whether the object is ready for use. More...
int | stateMFNumber () const
| Return the State Mole Fraction Number. More...
virtual void | invalidateCache ()
| Invalidate any cached values which are normally updated only when a change in state is detected. More...
bool | caseSensitiveSpecies () const
| Returns `true` if case sensitive species names are enforced. More...
void | setCaseSensitiveSpecies (bool cflag=true)
| Set flag that determines whether case sensitive species are enforced in look-up operations, for example speciesIndex. More...
virtual void | setRoot (std::shared_ptr< Solution > root)
| Set root Solution holding all phase information. More...
vector_fp | getCompositionFromMap (const compositionMap &comp) const
| Converts a compositionMap to a vector with entries for each species Species that are not specified are set to zero in the vector. More...
void | massFractionsToMoleFractions (const double *Y, double *X) const
| Converts a mixture composition from mole fractions to mass fractions. More...
void | moleFractionsToMassFractions (const double *X, double *Y) const
| Converts a mixture composition from mass fractions to mole fractions. More...
std::string | name () const
| Return the name of the phase. More...
void | setName (const std::string &nm)
| Sets the string name for the phase. More...
std::string | elementName (size_t m) const
| Name of the element with index m. More...
size_t | elementIndex (const std::string &name) const
| Return the index of element named 'name'. More...
const std::vector< std::string > & | elementNames () const
| Return a read-only reference to the vector of element names. More...
doublereal | atomicWeight (size_t m) const
| Atomic weight of element m. More...
doublereal | entropyElement298 (size_t m) const
| Entropy of the element in its standard state at 298 K and 1 bar. More...
int | atomicNumber (size_t m) const
| Atomic number of element m. More...
int | elementType (size_t m) const
| Return the element constraint type Possible types include: More...
int | changeElementType (int m, int elem_type)
| Change the element type of the mth constraint Reassigns an element type. More...
const vector_fp & | atomicWeights () const
| Return a read-only reference to the vector of atomic weights. More...
size_t | nElements () const
| Number of elements. More...
void | checkElementIndex (size_t m) const
| Check that the specified element index is in range. More...
void | checkElementArraySize (size_t mm) const
| Check that an array size is at least nElements(). More...
doublereal | nAtoms (size_t k, size_t m) const
| Number of atoms of element `m` in species `k`. More...
void | getAtoms (size_t k, double *atomArray) const
| Get a vector containing the atomic composition of species k. More...
size_t | speciesIndex (const std::string &name) const
| Returns the index of a species named 'name' within the Phase object. More...
std::string | speciesName (size_t k) const
| Name of the species with index k. More...
std::string | speciesSPName (int k) const
| Returns the expanded species name of a species, including the phase name This is guaranteed to be unique within a Cantera problem. More...
const std::vector< std::string > & | speciesNames () const
| Return a const reference to the vector of species names. More...
size_t | nSpecies () const
| Returns the number of species in the phase. More...
void | checkSpeciesIndex (size_t k) const
| Check that the specified species index is in range. More...
void | checkSpeciesArraySize (size_t kk) const
| Check that an array size is at least nSpecies(). More...
void | setMoleFractionsByName (const compositionMap &xMap)
| Set the species mole fractions by name. More...
void | setMoleFractionsByName (const std::string &x)
| Set the mole fractions of a group of species by name. More...
void | setMassFractionsByName (const compositionMap &yMap)
| Set the species mass fractions by name. More...
void | setMassFractionsByName (const std::string &x)
| Set the species mass fractions by name. More...
void | setState_TRX (doublereal t, doublereal dens, const doublereal *x)
| Set the internally stored temperature (K), density, and mole fractions. More...
void | setState_TRX (doublereal t, doublereal dens, const compositionMap &x)
| Set the internally stored temperature (K), density, and mole fractions. More...
void | setState_TRY (doublereal t, doublereal dens, const doublereal *y)
| Set the internally stored temperature (K), density, and mass fractions. More...
void | setState_TRY (doublereal t, doublereal dens, const compositionMap &y)
| Set the internally stored temperature (K), density, and mass fractions. More...
void | setState_TNX (doublereal t, doublereal n, const doublereal *x)
| Set the internally stored temperature (K), molar density (kmol/m^3), and mole fractions. More...
void | setState_TR (doublereal t, doublereal rho)
| Set the internally stored temperature (K) and density (kg/m^3) More...
void | setState_TX (doublereal t, doublereal *x)
| Set the internally stored temperature (K) and mole fractions. More...
void | setState_TY (doublereal t, doublereal *y)
| Set the internally stored temperature (K) and mass fractions. More...
void | setState_RX (doublereal rho, doublereal *x)
| Set the density (kg/m^3) and mole fractions. More...
void | setState_RY (doublereal rho, doublereal *y)
| Set the density (kg/m^3) and mass fractions. More...
compositionMap | getMoleFractionsByName (double threshold=0.0) const
| Get the mole fractions by name. More...
double | moleFraction (size_t k) const
| Return the mole fraction of a single species. More...
double | moleFraction (const std::string &name) const
| Return the mole fraction of a single species. More...
compositionMap | getMassFractionsByName (double threshold=0.0) const
| Get the mass fractions by name. More...
double | massFraction (size_t k) const
| Return the mass fraction of a single species. More...
double | massFraction (const std::string &name) const
| Return the mass fraction of a single species. More...
void | getMoleFractions (double *const x) const
| Get the species mole fraction vector. More...
virtual void | setMoleFractions (const double *const x)
| Set the mole fractions to the specified values. More...
virtual void | setMoleFractions_NoNorm (const double *const x)
| Set the mole fractions to the specified values without normalizing. More...
void | getMassFractions (double *const y) const
| Get the species mass fractions. More...
const double * | massFractions () const
| Return a const pointer to the mass fraction array. More...
virtual void | setMassFractions (const double *const y)
| Set the mass fractions to the specified values and normalize them. More...
virtual void | setMassFractions_NoNorm (const double *const y)
| Set the mass fractions to the specified values without normalizing. More...
void | getConcentrations (double *const c) const
| Get the species concentrations (kmol/m^3). More...
double | concentration (const size_t k) const
| Concentration of species k. More...
virtual void | setConcentrations (const double *const conc)
| Set the concentrations to the specified values within the phase. More...
virtual void | setConcentrationsNoNorm (const double *const conc)
| Set the concentrations without ignoring negative concentrations. More...
doublereal | temperature () const
| Temperature (K). More...
virtual double | electronTemperature () const
| Electron Temperature (K) More...
virtual double | density () const
| Density (kg/m^3). More...
double | molarDensity () const
| Molar density (kmol/m^3). More...
double | molarVolume () const
| Molar volume (m^3/kmol). More...
virtual void | setDensity (const double density_)
| Set the internally stored density (kg/m^3) of the phase. More...
virtual void | setMolarDensity (const double molarDensity)
| Set the internally stored molar density (kmol/m^3) of the phase. More...
virtual void | setTemperature (double temp)
| Set the internally stored temperature of the phase (K). More...
virtual void | setElectronTemperature (double etemp)
| Set the internally stored electron temperature of the phase (K). More...
doublereal | mean_X (const doublereal *const Q) const
| Evaluate the mole-fraction-weighted mean of an array Q. More...
doublereal | mean_X (const vector_fp &Q) const
| Evaluate the mole-fraction-weighted mean of an array Q. More...
doublereal | meanMolecularWeight () const
| The mean molecular weight. Units: (kg/kmol) More...
doublereal | sum_xlogx () const
| Evaluate \( \sum_k X_k \log X_k \). More...
size_t | addElement (const std::string &symbol, doublereal weight=-12345.0, int atomicNumber=0, doublereal entropy298=ENTROPY298_UNKNOWN, int elem_type=CT_ELEM_TYPE_ABSPOS)
| Add an element. More...
void | addSpeciesAlias (const std::string &name, const std::string &alias)
| Add a species alias (that is, a user-defined alternative species name). More...
virtual std::vector< std::string > | findIsomers (const compositionMap &compMap) const
| Return a vector with isomers names matching a given composition map. More...
virtual std::vector< std::string > | findIsomers (const std::string &comp) const
| Return a vector with isomers names matching a given composition string. More...
shared_ptr< Species > | species (const std::string &name) const
| Return the Species object for the named species. More...
shared_ptr< Species > | species (size_t k) const
| Return the Species object for species whose index is k. More...
void | ignoreUndefinedElements ()
| Set behavior when adding a species containing undefined elements to just skip the species. More...
void | addUndefinedElements ()
| Set behavior when adding a species containing undefined elements to add those elements to the phase. More...
void | throwUndefinedElements ()
| Set the behavior when adding a species containing undefined elements to throw an exception. More...

## Protected Member Functions
virtual void | updateThermo () const
Protected Member Functions inherited from ThermoPhase
virtual void | getParameters (AnyMap &phaseNode) const
| Store the parameters of a ThermoPhase object such that an identical one could be reconstructed using the newPhase(AnyMap&) function. More...
virtual void | getCsvReportData (std::vector< std::string > &names, std::vector< vector_fp > &data) const
| Fills `names` and `data` with the column names and species thermo properties to be included in the output of the reportCSV method. More...
Protected Member Functions inherited from Phase
void | assertCompressible (const std::string &setter) const
| Ensure that phase is compressible. More...
void | assignDensity (const double density_)
| Set the internally stored constant density (kg/m^3) of the phase. More...
void | setMolecularWeight (const int k, const double mw)
| Set the molecular weight of a single species to a given value. More...
virtual void | compositionChanged ()
| Apply changes to the state which are needed after the composition changes. More...

## Protected Attributes
doublereal | m_p0
| Reference state pressure. More...
vector_fp | m_h0_RT
| Temporary storage for dimensionless reference state enthalpies. More...
vector_fp | m_cp0_R
| Temporary storage for dimensionless reference state heat capacities. More...
vector_fp | m_g0_RT
| Temporary storage for dimensionless reference state Gibbs energies. More...
vector_fp | m_s0_R
| Temporary storage for dimensionless reference state entropies. More...
vector_fp | m_expg0_RT
vector_fp | m_pp
| Temporary array containing internally calculated partial pressures. More...
Protected Attributes inherited from ThermoPhase
MultiSpeciesThermo | m_spthermo
| Pointer to the calculation manager for species reference-state thermodynamic properties. More...
AnyMap | m_input
| Data supplied via setParameters. More...
std::vector< const XML_Node * > | m_speciesData
| Vector of pointers to the species databases. More...
doublereal | m_phi
| Stored value of the electric potential for this phase. Units are Volts. More...
bool | m_chargeNeutralityNecessary
| Boolean indicating whether a charge neutrality condition is a necessity. More...
int | m_ssConvention
| Contains the standard state convention. More...
doublereal | m_tlast
| last value of the temperature processed by reference state More...
Protected Attributes inherited from Phase
ValueCache | m_cache
| Cached for saved calculations within each ThermoPhase. More...
size_t | m_kk
| Number of species in the phase. More...
size_t | m_ndim
| Dimensionality of the phase. More...
vector_fp | m_speciesComp
| Atomic composition of the species. More...
vector_fp | m_speciesCharge
| Vector of species charges. length m_kk. More...
std::map< std::string, shared_ptr< Species > > | m_species
UndefElement::behavior | m_undefinedElementBehavior
| Flag determining behavior when adding species with an undefined element. More...
bool | m_caseSensitiveSpecies
| Flag determining whether case sensitive species names are enforced. More...

## Detailed Description

Class IdealGasPhase represents low-density gases that obey the ideal gas equation of state.

IdealGasPhase derives from class ThermoPhase, and overloads the virtual methods defined there with ones that use expressions appropriate for ideal gas mixtures.

The independent unknowns are density, mass fraction, and temperature. the setPressure() function will calculate the density consistent with the current mass fraction vector and temperature and the desired pressure, and then set the density.

## Specification of Species Standard State Properties

It is assumed that the reference state thermodynamics may be obtained by a pointer to a populated species thermodynamic property manager class in the base class, ThermoPhase::m_spthermo (see the base class MultiSpeciesThermo for a description of the specification of reference state species thermodynamics functions). The reference state, where the pressure is fixed at a single pressure, is a key species property calculation for the Ideal Gas Equation of state.

This class is optimized for speed of execution. All calls to thermodynamic functions first call internal routines (aka enthalpy_RT_ref()) which return references the reference state thermodynamics functions. Within these internal reference state functions, the function updateThermo() is called, that first checks to see whether the temperature has changed. If it has, it updates the internal reference state thermo functions by calling the MultiSpeciesThermo object.

Functions for the calculation of standard state properties for species at arbitrary pressure are provided in IdealGasPhase. However, they are all derived from their reference state counterparts.

The standard state enthalpy is independent of pressure:

\[ h^o_k(T,P) = h^{ref}_k(T) \]

The standard state constant-pressure heat capacity is independent of pressure:

\[ Cp^o_k(T,P) = Cp^{ref}_k(T) \]

The standard state entropy depends in the following fashion on pressure:

\[ S^o_k(T,P) = S^{ref}_k(T) - R \ln(\frac{P}{P_{ref}}) \]

The standard state Gibbs free energy is obtained from the enthalpy and entropy functions:

\[ \mu^o_k(T,P) = h^o_k(T,P) - S^o_k(T,P) T \]

\[ \mu^o_k(T,P) = \mu^{ref}_k(T) + R T \ln( \frac{P}{P_{ref}}) \]

where

\[ \mu^{ref}_k(T) = h^{ref}_k(T) - T S^{ref}_k(T) \]

The standard state internal energy is obtained from the enthalpy function also

\[ u^o_k(T,P) = h^o_k(T) - R T \]

The molar volume of a species is given by the ideal gas law

\[ V^o_k(T,P) = \frac{R T}{P} \]

where R is the molar gas constant. For a complete list of physical constants used within Cantera, see Physical Constants .

## Specification of Solution Thermodynamic Properties

The activity of a species defined in the phase is given by the ideal gas law:

\[ a_k = X_k \]

where \( X_k \) is the mole fraction of species k. The chemical potential for species k is equal to

\[ \mu_k(T,P) = \mu^o_k(T, P) + R T \log(X_k) \]

In terms of the reference state, the above can be rewritten

\[ \mu_k(T,P) = \mu^{ref}_k(T, P) + R T \log(\frac{P X_k}{P_{ref}}) \]

The partial molar entropy for species k is given by the following relation,

\[ \tilde{s}_k(T,P) = s^o_k(T,P) - R \log(X_k) = s^{ref}_k(T) - R \log(\frac{P X_k}{P_{ref}}) \]

The partial molar enthalpy for species k is

\[ \tilde{h}_k(T,P) = h^o_k(T,P) = h^{ref}_k(T) \]

The partial molar Internal Energy for species k is

\[ \tilde{u}_k(T,P) = u^o_k(T,P) = u^{ref}_k(T) \]

The partial molar Heat Capacity for species k is

\[ \tilde{Cp}_k(T,P) = Cp^o_k(T,P) = Cp^{ref}_k(T) \]

## %Application within Kinetics Managers

\( C^a_k\) are defined such that \( a_k = C^a_k / C^s_k, \) where \( C^s_k \) is a standard concentration defined below and \( a_k \) are activities used in the thermodynamic functions. These activity (or generalized) concentrations are used by kinetics manager classes to compute the forward and reverse rates of elementary reactions. The activity concentration, \( C^a_k \),is given by the following expression.

\[ C^a_k = C^s_k X_k = \frac{P}{R T} X_k \]

The standard concentration for species k is independent of k and equal to

\[ C^s_k = C^s = \frac{P}{R T} \]

For example, a bulk-phase binary gas reaction between species j and k, producing a new gas species l would have the following equation for its rate of progress variable, \( R^1 \), which has units of kmol m-3 s-1.

\[ R^1 = k^1 C_j^a C_k^a = k^1 (C^s a_j) (C^s a_k) \]

where

\[ C_j^a = C^s a_j \quad \mbox{and} \quad C_k^a = C^s a_k \]

\( C_j^a \) is the activity concentration of species j, and \( C_k^a \) is the activity concentration of species k. \( C^s \) is the standard concentration. \( a_j \) is the activity of species j which is equal to the mole fraction of j.

The reverse rate constant can then be obtained from the law of microscopic reversibility and the equilibrium expression for the system.

\[ \frac{a_j a_k}{ a_l} = K_a^{o,1} = \exp(\frac{\mu^o_l - \mu^o_j - \mu^o_k}{R T} ) \]

\( K_a^{o,1} \) is the dimensionless form of the equilibrium constant, associated with the pressure dependent standard states \( \mu^o_l(T,P) \) and their associated activities, \( a_l \), repeated here:

\[ \mu_l(T,P) = \mu^o_l(T, P) + R T \log(a_l) \]

We can switch over to expressing the equilibrium constant in terms of the reference state chemical potentials

\[ K_a^{o,1} = \exp(\frac{\mu^{ref}_l - \mu^{ref}_j - \mu^{ref}_k}{R T} ) * \frac{P_{ref}}{P} \]

The concentration equilibrium constant, \( K_c \), may be obtained by changing over to activity concentrations. When this is done:

\[ \frac{C^a_j C^a_k}{ C^a_l} = C^o K_a^{o,1} = K_c^1 = \exp(\frac{\mu^{ref}_l - \mu^{ref}_j - \mu^{ref}_k}{R T} ) * \frac{P_{ref}}{RT} \]

Kinetics managers will calculate the concentration equilibrium constant, \( K_c \), using the second and third part of the above expression as a definition for the concentration equilibrium constant.

For completeness, the pressure equilibrium constant may be obtained as well

\[ \frac{P_j P_k}{ P_l P_{ref}} = K_p^1 = \exp\left(\frac{\mu^{ref}_l - \mu^{ref}_j - \mu^{ref}_k}{R T} \right) \]

\( K_p \) is the simplest form of the equilibrium constant for ideal gases. However, it isn't necessarily the simplest form of the equilibrium constant for other types of phases; \( K_c \) is used instead because it is completely general.

The reverse rate of progress may be written down as

\[ R^{-1} = k^{-1} C_l^a = k^{-1} (C^o a_l) \]

where we can use the concept of microscopic reversibility to write the reverse rate constant in terms of the forward rate constant and the concentration equilibrium constant, \( K_c \).

\[ k^{-1} = k^1 K^1_c \]

\(k^{-1} \) has units of s-1.

## XML Example

Note: The XML input format is deprecated and will be removed in Cantera 3.0

An example of an XML Element named phase setting up a IdealGasPhase object named silane is given below.

<!-- phase silane -->
<phase dim="3" id="silane">
<elementArray datasrc="elements.xml"> Si H He </elementArray>
<speciesArray datasrc="#species_data">
H2 H HE SIH4 SI SIH SIH2 SIH3 H3SISIH SI2H6
H2SISIH2 SI3H8 SI2 SI3
</speciesArray>
<reactionArray datasrc="#reaction_data"/>
<thermo model="IdealGas"/>
<kinetics model="GasKinetics"/>
<transport model="None"/>
</phase>

The model attribute "IdealGas" of the thermo XML element identifies the phase as being of the type handled by the IdealGasPhase object.

Definition at line 269 of file IdealGasPhase.h.

## Constructor & Destructor Documentation

## ◆ IdealGasPhase() [1/2]

IdealGasPhase | ( | const std::string & | inputFile = `""`,
|  | const std::string & | id = `""`
| ) |  |
| explicit

Construct and initialize an IdealGasPhase ThermoPhase object directly from an ASCII input file.

Parameters

  inputFile | Name of the input file containing the phase definition to set up the object. If blank, an empty phase will be created.
  id | ID of the phase in the input file. Defaults to the empty string.

Definition at line 20 of file IdealGasPhase.cpp.

References ThermoPhase::initThermoFile().

## ◆ IdealGasPhase() [2/2]

IdealGasPhase | ( | XML_Node & | phaseRef,
|  | const std::string & | id = `""`
| ) |  |

Construct and initialize an IdealGasPhase ThermoPhase object directly from an XML database.

Parameters

  phaseRef | XML phase node containing the description of the phase
  id | id attribute containing the name of the phase. (default is the empty string)

Deprecated:
  The XML input format is deprecated and will be removed in Cantera 3.0.

Definition at line 26 of file IdealGasPhase.cpp.

References Cantera::importPhase().

## Member Function Documentation

## ◆ type()

virtual std::string type | ( |  | ) | const
| inline virtual

String indicating the thermodynamic model implemented.

Usually corresponds to the name of the derived class, less any suffixes such as "Phase", TP", "VPSS", etc.

Reimplemented from ThermoPhase.

Reimplemented in PlasmaPhase.

Definition at line 296 of file IdealGasPhase.h.

## ◆ isIdeal()

virtual bool isIdeal | ( |  | ) | const
| inline virtual

Boolean indicating whether phase is ideal.

Reimplemented from ThermoPhase.

Definition at line 300 of file IdealGasPhase.h.

## ◆ phaseOfMatter()

virtual std::string phaseOfMatter | ( |  | ) | const
| inline virtual

String indicating the mechanical phase of the matter in this Phase.

For the `IdealGasPhase`, this string is always `gas`.

Reimplemented from ThermoPhase.

Definition at line 308 of file IdealGasPhase.h.

## ◆ enthalpy_mole()

virtual doublereal enthalpy_mole | ( |  | ) | const
| inline virtual

Return the Molar enthalpy. Units: J/kmol.

For an ideal gas mixture,

\[ \hat h(T) = \sum_k X_k \hat h^0_k(T), \]

and is a function only of temperature. The standard-state pure-species enthalpies \( \hat h^0_k(T) \) are computed by the species thermodynamic property manager.

See also
  MultiSpeciesThermo

Reimplemented from ThermoPhase.

Definition at line 327 of file IdealGasPhase.h.

References IdealGasPhase::enthalpy_RT_ref(), Phase::mean_X(), and ThermoPhase::RT().

## ◆ entropy_mole()

doublereal entropy_mole | ( |  | ) | const
| virtual

Molar entropy.

Units: J/kmol/K. For an ideal gas mixture,

\[ \hat s(T, P) = \sum_k X_k \hat s^0_k(T) - \hat R \log (P/P^0). \]

The reference-state pure-species entropies \( \hat s^0_k(T) \) are computed by the species thermodynamic property manager.

See also
  MultiSpeciesThermo

Reimplemented from ThermoPhase.

Definition at line 34 of file IdealGasPhase.cpp.

References IdealGasPhase::entropy_R_ref(), Cantera::GasConstant, Phase::mean_X(), IdealGasPhase::pressure(), ThermoPhase::refPressure(), and Phase::sum_xlogx().

## ◆ cp_mole()

doublereal cp_mole | ( |  | ) | const
| virtual

Molar heat capacity at constant pressure.

Units: J/kmol/K. For an ideal gas mixture,

\[ \hat c_p(t) = \sum_k \hat c^0_{p,k}(T). \]

The reference-state pure-species heat capacities \( \hat c^0_{p,k}(T) \) are computed by the species thermodynamic property manager.

See also
  MultiSpeciesThermo

Reimplemented from ThermoPhase.

Definition at line 39 of file IdealGasPhase.cpp.

References IdealGasPhase::cp_R_ref(), Cantera::GasConstant, and Phase::mean_X().

Referenced by IdealGasPhase::cv_mole().

## ◆ cv_mole()

doublereal cv_mole | ( |  | ) | const
| virtual

Molar heat capacity at constant volume.

Units: J/kmol/K. For an ideal gas mixture,

\[ \hat c_v = \hat c_p - \hat R. \]

Reimplemented from ThermoPhase.

Definition at line 44 of file IdealGasPhase.cpp.

References IdealGasPhase::cp_mole(), and Cantera::GasConstant.

## ◆ pressure()

virtual doublereal pressure | ( |  | ) | const
| inline virtual

Pressure.

Units: Pa. For an ideal gas mixture,

\[ P = n \hat R T. \]

Reimplemented from Phase.

Definition at line 371 of file IdealGasPhase.h.

References Cantera::GasConstant, Phase::molarDensity(), and Phase::temperature().

Referenced by IdealGasPhase::entropy_mole(), IdealGasPhase::getEntropy_R(), IdealGasPhase::getGibbs_RT(), IdealGasPhase::getPartialMolarEntropies(), IdealGasPhase::getPureGibbs(), IdealGasPhase::getStandardChemPotentials(), IdealGasPhase::isothermalCompressibility(), and IdealGasPhase::standardConcentration().

## ◆ setPressure()

virtual void setPressure | ( | doublereal | p | ) |
| inline virtual

Set the pressure at constant temperature and composition.

Units: Pa. This method is implemented by setting the mass density to

\[ \rho = \frac{P \overline W}{\hat R T }. \]

Parameters

  p | Pressure (Pa)

Reimplemented from Phase.

Definition at line 385 of file IdealGasPhase.h.

References Phase::meanMolecularWeight(), ThermoPhase::RT(), and Phase::setDensity().

Referenced by StFlow::setGas(), and StFlow::setGasAtMidpoint().

## ◆ setState_RP()

virtual void setState_RP | ( | doublereal | rho,
|  | doublereal | p
| ) |  |
| inline virtual

Set the density and pressure at constant composition.

Units: kg/m^3, Pa. This method is implemented by setting the density to the input value and setting the temperature to

\[ T = \frac{P \overline W}{\hat R \rho}. \]

Parameters

  rho | Density (kg/m^3)
  p | Pressure (Pa)

Reimplemented from ThermoPhase.

Definition at line 401 of file IdealGasPhase.h.

References Cantera::GasConstant, Phase::meanMolecularWeight(), Phase::setDensity(), and Phase::setTemperature().

## ◆ isothermalCompressibility()

virtual doublereal isothermalCompressibility | ( |  | ) | const
| inline virtual

Returns the isothermal compressibility. Units: 1/Pa.

The isothermal compressibility is defined as

\[ \kappa_T = -\frac{1}{v}\left(\frac{\partial v}{\partial P}\right)_T \]

For ideal gases it's equal to the inverse of the pressure

Reimplemented from ThermoPhase.

Definition at line 419 of file IdealGasPhase.h.

References IdealGasPhase::pressure().

## ◆ thermalExpansionCoeff()

virtual doublereal thermalExpansionCoeff | ( |  | ) | const
| inline virtual

Return the volumetric thermal expansion coefficient. Units: 1/K.

The thermal expansion coefficient is defined as

\[ \beta = \frac{1}{v}\left(\frac{\partial v}{\partial T}\right)_P \]

For ideal gases, it's equal to the inverse of the temperature.

Reimplemented from ThermoPhase.

Definition at line 431 of file IdealGasPhase.h.

References Phase::temperature().

## ◆ getActivityConcentrations()

virtual void getActivityConcentrations | ( | doublereal * | c | ) | const
| inline virtual

This method returns the array of generalized concentrations.

For an ideal gas mixture, these are simply the actual concentrations.

Parameters

  c | Output array of generalized concentrations. The units depend upon the implementation of the reaction rate expressions within the phase.

Reimplemented from ThermoPhase.

Definition at line 476 of file IdealGasPhase.h.

References Phase::getConcentrations().

## ◆ standardConcentration()

doublereal standardConcentration | ( | size_t | k = `0` | ) | const
| virtual

Returns the standard concentration \( C^0_k \), which is used to normalize the generalized concentration.

This is defined as the concentration by which the generalized concentration is normalized to produce the activity. In many cases, this quantity will be the same for all species in a phase. Since the activity for an ideal gas mixture is simply the mole fraction, for an ideal gas \( C^0_k = P/\hat R T \).

Parameters

  k | Optional parameter indicating the species. The default is to assume this refers to species 0.

Returns
  Returns the standard Concentration in units of m3 kmol-1.

Reimplemented from ThermoPhase.

Definition at line 49 of file IdealGasPhase.cpp.

References IdealGasPhase::pressure(), and ThermoPhase::RT().

## ◆ getActivityCoefficients()

void getActivityCoefficients | ( | doublereal * | ac | ) | const
| virtual

Get the array of non-dimensional activity coefficients at the current solution temperature, pressure, and solution concentration.

For ideal gases, the activity coefficients are all equal to one.

Parameters

  ac | Output vector of activity coefficients. Length: m_kk.

Reimplemented from ThermoPhase.

Definition at line 54 of file IdealGasPhase.cpp.

References Phase::m_kk.

## ◆ getChemPotentials()

void getChemPotentials | ( | doublereal * | mu | ) | const
| virtual

Get the species chemical potentials. Units: J/kmol.

This function returns a vector of chemical potentials of the species in solution at the current temperature, pressure and mole fraction of the solution.

Parameters

  mu | Output vector of species chemical potentials. Length: m_kk. Units: J/kmol

Reimplemented from ThermoPhase.

Definition at line 73 of file IdealGasPhase.cpp.

References IdealGasPhase::getStandardChemPotentials(), Phase::m_kk, Phase::moleFraction(), ThermoPhase::RT(), and Cantera::SmallNumber.

## ◆ getPartialMolarEnthalpies()

void getPartialMolarEnthalpies | ( | doublereal * | hbar | ) | const
| virtual

Returns an array of partial molar enthalpies for the species in the mixture.

Units (J/kmol)

Parameters

  hbar | Output vector of species partial molar enthalpies. Length: m_kk. units are J/kmol.

Reimplemented from ThermoPhase.

Definition at line 82 of file IdealGasPhase.cpp.

References IdealGasPhase::enthalpy_RT_ref(), ThermoPhase::RT(), and Cantera::scale().

## ◆ getPartialMolarEntropies()

void getPartialMolarEntropies | ( | doublereal * | sbar | ) | const
| virtual

Returns an array of partial molar entropies of the species in the solution.

Units: J/kmol/K.

Parameters

  sbar | Output vector of species partial molar entropies. Length = m_kk. units are J/kmol/K.

Reimplemented from ThermoPhase.

Definition at line 88 of file IdealGasPhase.cpp.

References IdealGasPhase::entropy_R_ref(), Cantera::GasConstant, Phase::m_kk, Phase::moleFraction(), IdealGasPhase::pressure(), ThermoPhase::refPressure(), Cantera::scale(), and Cantera::SmallNumber.

## ◆ getPartialMolarIntEnergies()

void getPartialMolarIntEnergies | ( | doublereal * | ubar | ) | const
| virtual

Return an array of partial molar internal energies for the species in the mixture.

Units: J/kmol.

Parameters

  ubar | Output vector of species partial molar internal energies. Length = m_kk. units are J/kmol.

Reimplemented from ThermoPhase.

Definition at line 99 of file IdealGasPhase.cpp.

References IdealGasPhase::enthalpy_RT_ref(), Phase::m_kk, and ThermoPhase::RT().

## ◆ getPartialMolarCp()

void getPartialMolarCp | ( | doublereal * | cpbar | ) | const
| virtual

Return an array of partial molar heat capacities for the species in the mixture.

Units: J/kmol/K

Parameters

  cpbar | Output vector of species partial molar heat capacities at constant pressure. Length = m_kk. units are J/kmol/K.

Reimplemented from ThermoPhase.

Definition at line 107 of file IdealGasPhase.cpp.

References IdealGasPhase::cp_R_ref(), Cantera::GasConstant, and Cantera::scale().

## ◆ getPartialMolarVolumes()

void getPartialMolarVolumes | ( | doublereal * | vbar | ) | const
| virtual

Return an array of partial molar volumes for the species in the mixture.

Units: m^3/kmol.

Parameters

  vbar | Output vector of species partial molar volumes. Length = m_kk. units are m^3/kmol.

Reimplemented from ThermoPhase.

Definition at line 113 of file IdealGasPhase.cpp.

References Phase::m_kk, and Phase::molarDensity().

## ◆ getStandardChemPotentials()

void getStandardChemPotentials | ( | doublereal * | mu | ) | const
| virtual

Get the array of chemical potentials at unit activity for the species at their standard states at the current T and P of the solution.

These are the standard state chemical potentials \( \mu^0_k(T,P) \). The values are evaluated at the current temperature and pressure of the solution

Parameters

  mu | Output vector of chemical potentials. Length: m_kk.

Reimplemented from ThermoPhase.

Definition at line 61 of file IdealGasPhase.cpp.

References IdealGasPhase::gibbs_RT_ref(), Phase::m_kk, IdealGasPhase::pressure(), ThermoPhase::refPressure(), ThermoPhase::RT(), and Cantera::scale().

Referenced by IdealGasPhase::getChemPotentials().

## ◆ getEnthalpy_RT()

void getEnthalpy_RT | ( | doublereal * | hrt | ) | const
| virtual

Get the nondimensional Enthalpy functions for the species at their standard states at the current T and P of the solution.

Parameters

  hrt | Output vector of nondimensional standard state enthalpies. Length: m_kk.

Reimplemented from ThermoPhase.

Definition at line 123 of file IdealGasPhase.cpp.

References IdealGasPhase::enthalpy_RT_ref().

## ◆ getEntropy_R()

void getEntropy_R | ( | doublereal * | sr | ) | const
| virtual

Get the array of nondimensional Entropy functions for the standard state species at the current T and P of the solution.

Parameters

  sr | Output vector of nondimensional standard state entropies. Length: m_kk.

Reimplemented from ThermoPhase.

Definition at line 129 of file IdealGasPhase.cpp.

References IdealGasPhase::entropy_R_ref(), Phase::m_kk, IdealGasPhase::pressure(), and ThermoPhase::refPressure().

## ◆ getGibbs_RT()

void getGibbs_RT | ( | doublereal * | grt | ) | const
| virtual

Get the nondimensional Gibbs functions for the species in their standard states at the current T and P of the solution.

Parameters

  grt | Output vector of nondimensional standard state Gibbs free energies. Length: m_kk.

Reimplemented from ThermoPhase.

Definition at line 139 of file IdealGasPhase.cpp.

References IdealGasPhase::gibbs_RT_ref(), Phase::m_kk, IdealGasPhase::pressure(), and ThermoPhase::refPressure().

## ◆ getPureGibbs()

void getPureGibbs | ( | doublereal * | gpure | ) | const
| virtual

Get the Gibbs functions for the standard state of the species at the current T and P of the solution.

Units are Joules/kmol

Parameters

  gpure | Output vector of standard state Gibbs free energies. Length: m_kk.

Reimplemented from ThermoPhase.

Definition at line 149 of file IdealGasPhase.cpp.

References IdealGasPhase::gibbs_RT_ref(), Phase::m_kk, IdealGasPhase::pressure(), ThermoPhase::refPressure(), ThermoPhase::RT(), and Cantera::scale().

## ◆ getIntEnergy_RT()

void getIntEnergy_RT | ( | doublereal * | urt | ) | const
| virtual

Returns the vector of nondimensional Internal Energies of the standard state species at the current T and P of the solution.

Parameters

  urt | output vector of nondimensional standard state internal energies of the species. Length: m_kk.

Reimplemented from ThermoPhase.

Definition at line 159 of file IdealGasPhase.cpp.

References IdealGasPhase::enthalpy_RT_ref(), and Phase::m_kk.

## ◆ getCp_R()

void getCp_R | ( | doublereal * | cpr | ) | const
| virtual

Get the nondimensional Heat Capacities at constant pressure for the species standard states at the current T and P of the solution.

Parameters

  cpr | Output vector of nondimensional standard state heat capacities. Length: m_kk.

Reimplemented from ThermoPhase.

Definition at line 167 of file IdealGasPhase.cpp.

References IdealGasPhase::cp_R_ref().

## ◆ getStandardVolumes()

void getStandardVolumes | ( | doublereal * | vol | ) | const
| virtual

Get the molar volumes of the species standard states at the current T and P of the solution.

units = m^3 / kmol

Parameters

  vol | Output vector containing the standard state volumes. Length: m_kk.

Reimplemented from ThermoPhase.

Definition at line 173 of file IdealGasPhase.cpp.

References Phase::m_kk, and Phase::molarDensity().

## ◆ getEnthalpy_RT_ref()

void getEnthalpy_RT_ref | ( | doublereal * | hrt | ) | const
| virtual

Returns the vector of nondimensional enthalpies of the reference state at the current temperature of the solution and the reference pressure for the species.

Parameters

  hrt | Output vector containing the nondimensional reference state enthalpies. Length: m_kk.

Reimplemented from ThermoPhase.

Definition at line 183 of file IdealGasPhase.cpp.

References IdealGasPhase::enthalpy_RT_ref().

## ◆ getGibbs_RT_ref()

void getGibbs_RT_ref | ( | doublereal * | grt | ) | const
| virtual

Returns the vector of nondimensional Gibbs Free Energies of the reference state at the current temperature of the solution and the reference pressure for the species.

Parameters

  grt | Output vector containing the nondimensional reference state Gibbs Free energies. Length: m_kk.

Reimplemented from ThermoPhase.

Definition at line 189 of file IdealGasPhase.cpp.

References IdealGasPhase::gibbs_RT_ref().

## ◆ getGibbs_ref()

void getGibbs_ref | ( | doublereal * | g | ) | const
| virtual

Returns the vector of the Gibbs function of the reference state at the current temperature of the solution and the reference pressure for the species.

Parameters

  g | Output vector containing the reference state Gibbs Free energies. Length: m_kk. Units: J/kmol.

Reimplemented from ThermoPhase.

Definition at line 195 of file IdealGasPhase.cpp.

References IdealGasPhase::gibbs_RT_ref(), ThermoPhase::RT(), and Cantera::scale().

## ◆ getEntropy_R_ref()

void getEntropy_R_ref | ( | doublereal * | er | ) | const
| virtual

Returns the vector of nondimensional entropies of the reference state at the current temperature of the solution and the reference pressure for each species.

Parameters

  er | Output vector containing the nondimensional reference state entropies. Length: m_kk.

Reimplemented from ThermoPhase.

Definition at line 201 of file IdealGasPhase.cpp.

References IdealGasPhase::entropy_R_ref().

## ◆ getIntEnergy_RT_ref()

void getIntEnergy_RT_ref | ( | doublereal * | urt | ) | const
| virtual

Returns the vector of nondimensional internal Energies of the reference state at the current temperature of the solution and the reference pressure for each species.

Parameters

  urt | Output vector of nondimensional reference state internal energies of the species. Length: m_kk

Reimplemented from ThermoPhase.

Definition at line 207 of file IdealGasPhase.cpp.

References IdealGasPhase::enthalpy_RT_ref(), and Phase::m_kk.

## ◆ getCp_R_ref()

void getCp_R_ref | ( | doublereal * | cprt | ) | const
| virtual

Returns the vector of nondimensional constant pressure heat capacities of the reference state at the current temperature of the solution and reference pressure for each species.

Parameters

  cprt | Output vector of nondimensional reference state heat capacities at constant pressure for the species. Length: m_kk

Reimplemented from ThermoPhase.

Definition at line 215 of file IdealGasPhase.cpp.

References IdealGasPhase::cp_R_ref().

## ◆ getStandardVolumes_ref()

void getStandardVolumes_ref | ( | doublereal * | vol | ) | const
| virtual

Get the molar volumes of the species reference states at the current T and P_ref of the solution.

units = m^3 / kmol

Parameters

  vol | Output vector containing the standard state volumes. Length: m_kk.

Reimplemented from ThermoPhase.

Definition at line 221 of file IdealGasPhase.cpp.

References Phase::m_kk, IdealGasPhase::m_p0, and ThermoPhase::RT().

## ◆ enthalpy_RT_ref()

const vector_fp & enthalpy_RT_ref | ( |  | ) | const
| inline

Returns a reference to the dimensionless reference state enthalpy vector.

This function is part of the layer that checks/recalculates the reference state thermo functions.

Definition at line 550 of file IdealGasPhase.h.

References IdealGasPhase::m_h0_RT, and IdealGasPhase::updateThermo().

Referenced by IdealGasPhase::enthalpy_mole(), StFlow::evalResidual(), IdealGasPhase::getEnthalpy_RT(), IdealGasPhase::getEnthalpy_RT_ref(), IdealGasPhase::getIntEnergy_RT(), IdealGasPhase::getIntEnergy_RT_ref(), IdealGasPhase::getPartialMolarEnthalpies(), and IdealGasPhase::getPartialMolarIntEnergies().

## ◆ gibbs_RT_ref()

const vector_fp & gibbs_RT_ref | ( |  | ) | const
| inline

Returns a reference to the dimensionless reference state Gibbs free energy vector.

This function is part of the layer that checks/recalculates the reference state thermo functions.

Definition at line 560 of file IdealGasPhase.h.

References IdealGasPhase::m_g0_RT, and IdealGasPhase::updateThermo().

Referenced by IdealGasPhase::getGibbs_ref(), IdealGasPhase::getGibbs_RT(), IdealGasPhase::getGibbs_RT_ref(), IdealGasPhase::getPureGibbs(), IdealGasPhase::getStandardChemPotentials(), and IdealGasPhase::setToEquilState().

## ◆ entropy_R_ref()

const vector_fp & entropy_R_ref | ( |  | ) | const
| inline

Returns a reference to the dimensionless reference state Entropy vector.

This function is part of the layer that checks/recalculates the reference state thermo functions.

Definition at line 570 of file IdealGasPhase.h.

References IdealGasPhase::m_s0_R, and IdealGasPhase::updateThermo().

Referenced by IdealGasPhase::entropy_mole(), IdealGasPhase::getEntropy_R(), IdealGasPhase::getEntropy_R_ref(), and IdealGasPhase::getPartialMolarEntropies().

## ◆ cp_R_ref()

const vector_fp & cp_R_ref | ( |  | ) | const
| inline

Returns a reference to the dimensionless reference state Heat Capacity vector.

This function is part of the layer that checks/recalculates the reference state thermo functions.

Definition at line 580 of file IdealGasPhase.h.

References IdealGasPhase::m_cp0_R, and IdealGasPhase::updateThermo().

Referenced by IdealGasPhase::cp_mole(), StFlow::evalResidual(), IdealGasPhase::getCp_R(), IdealGasPhase::getCp_R_ref(), and IdealGasPhase::getPartialMolarCp().

## ◆ addSpecies()

bool addSpecies | ( | shared_ptr< Species > | spec | ) |
| virtual

The following methods are used in the process of constructing the phase and setting its parameters from a specification in an input file. They are not normally used in application programs. To see how they are used, see importPhase().

Reimplemented from ThermoPhase.

Reimplemented in PlasmaPhase.

Definition at line 229 of file IdealGasPhase.cpp.

References ThermoPhase::addSpecies(), IdealGasPhase::m_cp0_R, IdealGasPhase::m_g0_RT, IdealGasPhase::m_h0_RT, Phase::m_kk, IdealGasPhase::m_p0, IdealGasPhase::m_pp, IdealGasPhase::m_s0_R, and ThermoPhase::refPressure().

Referenced by PlasmaPhase::addSpecies().

## ◆ setToEquilState()

void setToEquilState | ( | const doublereal * | mu_RT | ) |
| virtual

This method is used by the ChemEquil equilibrium solver.

It sets the state such that the chemical potentials satisfy

\[ \frac{\mu_k}{\hat R T} = \sum_m A_{k,m} \left(\frac{\lambda_m} {\hat R T}\right) \]

where \( \lambda_m \) is the element potential of element m. The temperature is unchanged. Any phase (ideal or not) that implements this method can be equilibrated by ChemEquil.

Parameters

  mu_RT | Input vector of dimensionless chemical potentials The length is equal to nSpecies().

Reimplemented from ThermoPhase.

Definition at line 246 of file IdealGasPhase.cpp.

References IdealGasPhase::gibbs_RT_ref(), Phase::m_kk, IdealGasPhase::m_p0, IdealGasPhase::m_pp, and ThermoPhase::setState_PX().

## ◆ updateThermo()

void updateThermo | ( |  | ) | const
| protected virtual

Update the species reference state thermodynamic functions

This method is called each time a thermodynamic property is requested, to check whether the internal species properties within the object need to be updated. Currently, this updates the species thermo polynomial values for the current value of the temperature. A check is made to see if the temperature has changed since the last evaluation. This object does not contain any persistent data that depends on the concentration, that needs to be updated. The state object modifies its concentration dependent information at the time the setMoleFractions() (or equivalent) call is made.

Reimplemented in PlasmaPhase.

Definition at line 273 of file IdealGasPhase.cpp.

References ValueCache::getId(), ValueCache::getScalar(), Phase::m_cache, IdealGasPhase::m_cp0_R, IdealGasPhase::m_g0_RT, IdealGasPhase::m_h0_RT, Phase::m_kk, IdealGasPhase::m_s0_R, ThermoPhase::m_spthermo, CachedValue< T >::state1, Phase::temperature(), and MultiSpeciesThermo::update().

Referenced by IdealGasPhase::cp_R_ref(), IdealGasPhase::enthalpy_RT_ref(), IdealGasPhase::entropy_R_ref(), IdealGasPhase::gibbs_RT_ref(), and PlasmaPhase::updateThermo().

## Member Data Documentation

## ◆ m_p0

doublereal m_p0
| protected

Reference state pressure.

Value of the reference state pressure in Pascals. All species must have the same reference state pressure.

Definition at line 596 of file IdealGasPhase.h.

Referenced by IdealGasPhase::addSpecies(), IdealGasPhase::getStandardVolumes_ref(), and IdealGasPhase::setToEquilState().

## ◆ m_h0_RT

vector_fp m_h0_RT
| mutable protected

Temporary storage for dimensionless reference state enthalpies.

Definition at line 599 of file IdealGasPhase.h.

Referenced by IdealGasPhase::addSpecies(), IdealGasPhase::enthalpy_RT_ref(), IdealGasPhase::updateThermo(), and PlasmaPhase::updateThermo().

## ◆ m_cp0_R

vector_fp m_cp0_R
| mutable protected

Temporary storage for dimensionless reference state heat capacities.

Definition at line 602 of file IdealGasPhase.h.

Referenced by IdealGasPhase::addSpecies(), IdealGasPhase::cp_R_ref(), IdealGasPhase::updateThermo(), and PlasmaPhase::updateThermo().

## ◆ m_g0_RT

vector_fp m_g0_RT
| mutable protected

Temporary storage for dimensionless reference state Gibbs energies.

Definition at line 605 of file IdealGasPhase.h.

Referenced by IdealGasPhase::addSpecies(), IdealGasPhase::gibbs_RT_ref(), IdealGasPhase::updateThermo(), and PlasmaPhase::updateThermo().

## ◆ m_s0_R

vector_fp m_s0_R
| mutable protected

Temporary storage for dimensionless reference state entropies.

Definition at line 608 of file IdealGasPhase.h.

Referenced by IdealGasPhase::addSpecies(), IdealGasPhase::entropy_R_ref(), IdealGasPhase::updateThermo(), and PlasmaPhase::updateThermo().

## ◆ m_expg0_RT

vector_fp m_expg0_RT
| mutable protected

Definition at line 610 of file IdealGasPhase.h.

## ◆ m_pp

vector_fp m_pp
| mutable protected

Temporary array containing internally calculated partial pressures.

Definition at line 613 of file IdealGasPhase.h.

Referenced by IdealGasPhase::addSpecies(), and IdealGasPhase::setToEquilState().

The documentation for this class was generated from the following files:

- IdealGasPhase.h
- IdealGasPhase.cpp