Helmholtz |
Equation of state based on the dimensionless Helmholtz energy, for pure fluids.
Inheritance HierarchySystemObject
Altaxo.Science.Thermodynamics.FluidsHelmholtzEquationOfState
Altaxo.Science.Thermodynamics.FluidsHelmholtzEquationOfStateOfPureFluids
Altaxo.Science.Thermodynamics.FluidsHelmholtzEquationOfStateOfPureFluidsBySpanEtAl
Altaxo.Science.Thermodynamics.FluidsHelmholtzEquationOfState
Altaxo.Science.Thermodynamics.FluidsHelmholtzEquationOfStateOfPureFluids
Altaxo.Science.Thermodynamics.FluidsHelmholtzEquationOfStateOfPureFluidsBySpanEtAl
Namespace: Altaxo.Science.Thermodynamics.Fluids
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
SyntaxC#
public abstract class HelmholtzEquationOfStateOfPureFluids : HelmholtzEquationOfState
The HelmholtzEquationOfStateOfPureFluids type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | HelmholtzEquationOfStateOfPureFluids | Initializes a new instance of the HelmholtzEquationOfStateOfPureFluids class |
Properties| Name | Description | |
|---|---|---|
 | AcentricFactor | Gets the acentric factor. |
| CriticalPointMassDensity | Gets the mass density at the critical point in kg/m³. |
| CriticalPointMoleDensity | Gets the mole density at the critical point in mol/m³. |
| CriticalPointPressure | Gets the pressure at the critical point in Pa. |
| CriticalPointTemperature | Gets the temperature at the critical point in Kelvin. |
| MolecularWeight |
Gets the (typical) molecular weight of the fluid.
(Inherited from HelmholtzEquationOfState) |
| NormalBoilingPointTemperature | Gets the boiling temperature at normal pressure (101325 Pa) in K (if existent). If not existent, the return value is null. |
| NormalSublimationPointTemperature | Gets the sublimation temperature at normal pressure (101325 Pa) in K (if existent). If not existent, the return value is null. |
| ReducingMassDensity |
Gets the density (in kg/m³) used to calculate the reduced (dimensionless) density.
(Inherited from HelmholtzEquationOfState) |
| ReducingMoleDensity |
Gets the molar density (in mol/m³) used to calculate the reduced (dimensionless) density.
(Overrides HelmholtzEquationOfStateReducingMoleDensity) |
| ReducingTemperature |
Gets the temperature (in Kelvin) that is used to calculate the inverse reduced temperature.
(Overrides HelmholtzEquationOfStateReducingTemperature) |
| TriplePointPressure | Gets the triple point pressure in Pa. |
| TriplePointSaturatedLiquidMassDensity | Gets the saturated liquid density at the triple point in kg/m³. |
| TriplePointSaturatedLiquidMoleDensity | Gets the saturated liquid density at the triple point in mol/m³. |
| TriplePointSaturatedVaporMassDensity | Gets the saturated vapor density at the triple point in kg/m³. |
| TriplePointSaturatedVaporMoleDensity | Gets the saturated vapor density at the triple point in mol/m³. |
| TriplePointTemperature | Gets the triple point temperature in K. |
| WorkingSpecificGasConstant |
Gets the specific gas constant of the fluid. Is calculated from WorkingUniversalGasConstant and MolecularWeight.
(Inherited from HelmholtzEquationOfState) |
| WorkingUniversalGasConstant |
Gets the universal gas constant that was used at the time this model was developed.
(Inherited from HelmholtzEquationOfState) |
Methods| Name | Description | |
|---|---|---|
 | Equals | Determines whether the specified object is equal to the current object. (Inherited from Object) |
| Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object) |
| GetDeltaFromMassDensity |
Gets the reduced density by density / ReducingMassDensity.
(Inherited from HelmholtzEquationOfState) |
| GetDeltaFromMoleDensity |
Gets the reduced density by density / ReducingMassDensity.
(Inherited from HelmholtzEquationOfState) |
| GetHashCode | Serves as the default hash function. (Inherited from Object) |
 | GetRelativeErrorBetween | |
| GetTauFromTemperature |
Gets the inverse reduced temperature by ReducingTemperature / temperature.
(Inherited from HelmholtzEquationOfState) |
| GetType | Gets the Type of the current instance. (Inherited from Object) |
| IsentropicDerivativeOfMassSpecificVolumeWrtPressure_FromMoleDensityAndTemperature |
Gets the isentropic (adiabatic) derivative of the mass specific volume w.r.t. pressure from mole density and temperature.
(Inherited from HelmholtzEquationOfState) |
| IsentropicDerivativeOfMoleSpecificVolumeWrtPressure_FromMoleDensityAndTemperature |
Gets the isentropic (adiabatic) derivative of the mole specific volume w.r.t. pressure from mole density and temperature.
(Inherited from HelmholtzEquationOfState) |
| IsothermalCompressibility_FromMassDensityAndTemperature |
Gets the isothermal compressibility in 1/Pa from mass density (kg/m³) and temperature (K).
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| IsothermalCompressibility_FromMoleDensityAndTemperature |
Gets the isothermal compressibility in 1/Pa from mole density (mol/m³) and temperature (K).
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| IsothermalCompressionalModulus_FromMassDensityAndTemperature |
Gets the isothermal compressional modulus K in Pa from density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| IsothermalCompressionalModulus_FromMoleDensityAndTemperature |
Gets the isothermal compressional modulus in Pa from density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| IsothermalDerivativePressureWrtMassDensity_FromMassDensityAndTemperature |
Gets the derivative of pressure w.r.t. the mass density at isothermal conditions.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| IsothermalDerivativePressureWrtMoleDensity_FromMoleDensityAndTemperature |
Gets the derivative of pressure w.r.t. the mole density at isothermal conditions.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MassDensity_FromMoleDensity |
Gets the mass density (in kg/m³) from mole density (in mol/m³).
(Inherited from HelmholtzEquationOfState) |
| MassDensity_FromPressureAndTemperature(Double, Double, Double) |
Gets the mass density for a given pressure and temperature.
(Inherited from HelmholtzEquationOfState) |
| MassDensity_FromPressureAndTemperature(Double, Double, Double, Double) |
Gets the mole density from a given pressure and temperature.
(Inherited from HelmholtzEquationOfState) |
| MassSpecificEnthalpy_FromMassDensityAndTemperature |
Get the enthalpy from a given density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MassSpecificEnthalpy_FromMoleDensityAndTemperature |
Get the enthalpy from a given density and temperature.
(Inherited from HelmholtzEquationOfState) |
| MassSpecificEntropy_FromMassDensityAndTemperature |
Get the entropy from a given mole density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MassSpecificEntropy_FromMoleDensityAndTemperature |
Get the entropy from a given mole density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MassSpecificGibbsEnergy_FromMassDensityAndTemperature |
Get the mass specific Gibbs energy from a given mass density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MassSpecificGibbsEnergy_FromMoleDensityAndTemperature |
Get the mass specific Gibbs energy from a given mass density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MassSpecificHelmholtzEnergy_FromMassDensityAndTemperature |
Get the Helmholtz energy from a given mass density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MassSpecificHelmholtzEnergy_FromMoleDensityAndTemperature |
Get the mass specific Helmholtz energy from a given mass density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MassSpecificInternalEnergy_FromMassDensityAndTemperature |
Get the internal energy from a given density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MassSpecificInternalEnergy_FromMoleDensityAndTemperature |
Get the internal energy from a given density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MassSpecificIsobaricHeatCapacity_FromMassDensityAndTemperature |
Gets the isobaric heat capacity from a given density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MassSpecificIsobaricHeatCapacity_FromMoleDensityAndTemperature |
Gets the isobaric heat capacity from a given density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MassSpecificIsochoricHeatCapacity_FromMassDensityAndTemperature |
Get the isochoric heat capacity from a given density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MassSpecificIsochoricHeatCapacity_FromMoleDensityAndTemperature |
Get the isochoric heat capacity from a given density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object) |
| MoleDensity_FromMassDensity |
Gets the mole density (in mol/m³) from mass density (in kg/m³).
(Inherited from HelmholtzEquationOfState) |
| MoleDensity_FromPressureAndTemperature(Double, Double, Double) |
Get the mole density for a given pressure and temperature.
(Inherited from HelmholtzEquationOfState) |
| MoleDensity_FromPressureAndTemperature(Double, Double, Double, Double) |
Gets the mole density from a given pressure and temperature.
(Inherited from HelmholtzEquationOfState) |
| MoleDensityEstimates_FromPressureAndTemperature |
Gets an estimate of the mole densities at a given pressure and temperature.
(Overrides HelmholtzEquationOfStateMoleDensityEstimates_FromPressureAndTemperature(Double, Double)) |
| MoleSpecificEnthalpy_FromMassDensityAndTemperature |
Get the enthalpy from a given density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MoleSpecificEnthalpy_FromMoleDensityAndTemperature |
Get the enthalpy from a given density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MoleSpecificEntropy_FromMassDensityAndTemperature |
Get the entropy from a given mole density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MoleSpecificEntropy_FromMoleDensityAndTemperature |
Get the entropy from a given mole density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MoleSpecificGibbsEnergy_FromMassDensityAndTemperature |
Get the mole specific Gibbs energy from a given mass density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MoleSpecificGibbsEnergy_FromMoleDensityAndTemperature |
Get the mole specific Gibbs energy from a given mass density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MoleSpecificHelmholtzEnergy_FromMassDensityAndTemperature |
Get the Helmholtz energy from a given mass density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MoleSpecificHelmholtzEnergy_FromMoleDensityAndTemperature |
Get the Helmholtz energy from a given mole density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MoleSpecificInternalEnergy_FromMassDensityAndTemperature |
Get the internal energy from a given density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MoleSpecificInternalEnergy_FromMoleDensityAndTemperature |
Get the internal energy from a given density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MoleSpecificIsobaricHeatCapacity_FromMassDensityAndTemperature |
Gets the isobaric heat capacity from a given density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MoleSpecificIsobaricHeatCapacity_FromMoleDensityAndTemperature |
Gets the isobaric heat capacity from a given density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MoleSpecificIsochoricHeatCapacity_FromMassDensityAndTemperature |
Get the mole specific isochoric heat capacity from a given density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| MoleSpecificIsochoricHeatCapacity_FromMoleDensityAndTemperature |
Get the mole specific isochoric heat capacity from a given density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| Phi0_OfReducedVariables |
Ideal part of the dimensionless Helmholtz energy as function of reduced variables. (Page 1541, Table 28)
(Inherited from HelmholtzEquationOfState) |
| Phi0_tau_OfReducedVariables |
First derivative of the dimensionless Helmholtz energy as function of reduced variables with respect to the inverse reduced temperature. (Page 1541, Table 28)
(Inherited from HelmholtzEquationOfState) |
| Phi0_tautau_OfReducedVariables |
Second derivative of Phi0 the of reduced variables with respect to the inverse reduced temperature. (Page 1541, Table 28)
(Inherited from HelmholtzEquationOfState) |
| PhiR_delta_OfReducedVariables |
Calculates the first derivative of the residual part of the dimensionless Helmholtz energy with respect to the reduced density delta.
(Inherited from HelmholtzEquationOfState) |
| PhiR_deltadelta_OfReducedVariables |
Calculates the second derivative of the residual part of the dimensionless Helmholtz energy with respect to the reduced density delta.
(Inherited from HelmholtzEquationOfState) |
| PhiR_deltatau_OfReducedVariables |
Calculates the derivative of the residual part of the dimensionless Helmholtz energy with respect to the reduced density delta and the inverse reduced temperature tau.
(Inherited from HelmholtzEquationOfState) |
| PhiR_OfReducedVariables |
Calculates the residual part of the dimensionless Helmholtz energy in dependence on reduced density and reduced inverse temperature.
(Inherited from HelmholtzEquationOfState) |
| PhiR_tau_OfReducedVariables |
Calculates the first derivative of the residual part of the dimensionless Helmholtz energy with respect to the inverse reduced temperature.
(Inherited from HelmholtzEquationOfState) |
| PhiR_tautau_OfReducedVariables |
Calculates the second derivative of the residual part of the dimensionless Helmholtz energy with respect to the inverse reduced temperature.
(Inherited from HelmholtzEquationOfState) |
| Pressure_FromMassDensityAndTemperature |
Get the pressure from a given density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| Pressure_FromMoleDensityAndTemperature |
Gets the pressure from a given molar density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| SaturatedLiquidAndVaporMoleDensitiesAndPressure_FromTemperature(Double, Double) | Gets the saturated liquid mole density, the saturated vapor mole density, and the pressure for a given temperature. This is done by iteration, using multivariate Newton-Raphson. |
| SaturatedLiquidAndVaporMoleDensitiesAndPressure_FromTemperature(Double, Double, Double, Double) | Gets the saturated liquid mole density, the saturated vapor mole density, and the pressure for a given temperature. This is done by iteration, using multivariate Newton-Raphson. |
| SaturatedLiquidAndVaporMoleDensitiesAndTemperature_FromPressure | Gets the saturated liquid mole density, the saturated vapor mole density, and the temperature for a given pressure. This is done by iteration, using multivariate Newton-Raphson. |
| SaturatedLiquidMoleDensityEstimate_FromTemperature | Gets an estimate for the saturated liquid mole density in dependence on the temperature. |
| SaturatedVaporMoleDensityEstimate_FromTemperature | Gets an estimate for the saturated vapor mole density in dependence on the temperature. |
| SaturatedVaporPressureEstimate_FromTemperature | Gets an estimate for the saturated vapor pressure in dependence on the temperature. |
| SaturatedVaporPressureEstimateAndDerivativeWrtTemperature_FromTemperature | Gets an estimate for the saturated vapor pressure in dependence on the temperature as well as for the derivative of the saturated vapor pressure with respect to the temperature. |
| SaturatedVaporTemperature_FromPressure | Get the temperature at the liquid/vapor interface for a given pressure by iteration (Newton-Raphson). |
| SpeedOfSound_FromMassDensityAndTemperature |
Get the speed of sound from a given density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| SpeedOfSound_FromMoleDensityAndTemperature |
Get the speed of sound from a given density and temperature.
Attention - unchecked function: it is presumed, but not checked (!), that the given parameter combination describes a single phase fluid!.
(Inherited from HelmholtzEquationOfState) |
| ToString | Returns a string that represents the current object. (Inherited from Object) |
See Also