HelmholtzEquationOfStateOfPureFluidsBySpanEtAl (FsODE)

FsODE

Documentation for 0.0.2

HelmholtzEquationOfStateOfPureFluidsBySpanEtAl Type

Namespace: Altaxo.Science.Thermodynamics.Fluids
Assembly: AltaxoCore.Redist.dll
Base Type: HelmholtzEquationOfStateOfPureFluids

Base class of state equations based on the papers of the group of W.Wagner / Bochum

References:

[1] R. Span and W. Wagner, A New Equation of State for Carbon Dioxide Covering the Fluid Region from the Triple-Point Temperature to 1100 K at Pressures up to 800 MPa, J. Phys. Chern. Ref. Data, Vol. 25, No.6, 1996

[2] W. Wagner and A.Pruß The IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use, J. Phys. Chem. Ref. Data, Vol. 31, No. 2, 2002

Constructors

Constructor	Description
`HelmholtzEquationOfStateOfPureFluidsBySpanEtAl()` Full Usage: `HelmholtzEquationOfStateOfPureFluidsBySpanEtAl()`

Instance members

Instance member	Description
`this.CASRegistryNumber` Full Usage: `this.CASRegistryNumber` Returns: `string` Modifiers: abstract	Gets the CAS registry number. Returns: `string`
`this.ChemicalFormula` Full Usage: `this.ChemicalFormula` Returns: `string` Modifiers: abstract	The chemical formula of the fluid. Returns: `string`
`this.DipoleMoment` Full Usage: `this.DipoleMoment` Returns: `float` Modifiers: abstract	Gets the dipole moment in Debye. Returns: `float`
`this.FluidFamily` Full Usage: `this.FluidFamily` Returns: `string` Modifiers: abstract	The chemical formula of the fluid. Returns: `string`
`this.FullName` Full Usage: `this.FullName` Returns: `string` Modifiers: abstract	The full name of the fluid. Returns: `string`
`this.IsMeltingPressureCurveImplemented` Full Usage: `this.IsMeltingPressureCurveImplemented` Returns: `bool`	Returns: `bool`
`this.IsSublimationPressureCurveImplemented` Full Usage: `this.IsSublimationPressureCurveImplemented` Returns: `bool`	Returns: `bool`
`this.LowerTemperatureLimit` Full Usage: `this.LowerTemperatureLimit` Returns: `float` Modifiers: abstract	Gets the lower temperature limit of this model in K. Returns: `float`
`this.MeltingPressureEstimateAndDerivativeWrtTemperature_FromTemperature` Full Usage: `this.MeltingPressureEstimateAndDerivativeWrtTemperature_FromTemperature` Parameters: temperature : `float` - The temperature in K. Returns: `float * float` An estimate of the melting pressure in Pa and the derivative dp/dT in Pa/K. For water, the lowest melting pressure is returned.	Gets an estimate value of the melting pressure and the derivative of the pressure w.r.t. temperature for a given temperature. The estimated value should have an relative accuracy of 5% plus an absolute error of about 100 Pa. temperature : `float` The temperature in K. Returns: `float * float` An estimate of the melting pressure in Pa and the derivative dp/dT in Pa/K. For water, the lowest melting pressure is returned.
`this.MeltingPressureEstimate_FromTemperature` Full Usage: `this.MeltingPressureEstimate_FromTemperature` Parameters: temperature : `float` Returns: `float`	temperature : `float` Returns: `float`
`this.MeltingTemperatureEstimate_FromPressure` Full Usage: `this.MeltingTemperatureEstimate_FromPressure` Parameters: pressure : `float` - The pressure in Pa. ?relativeAccuracy : `float` - The relative accuracy of the pressure back-calculated for the returned temperature. Returns: `float` An estimate of the melting temperature. Should have about +-0.5 K accuracy.	Gets an estimate of the melting temperature for a given pressure, using Newton-Raphson iteration. pressure : `float` The pressure in Pa. ?relativeAccuracy : `float` The relative accuracy of the pressure back-calculated for the returned temperature. Returns: `float` An estimate of the melting temperature. Should have about +-0.5 K accuracy.
`this.Phi0_OfReducedVariables` Full Usage: `this.Phi0_OfReducedVariables` Parameters: delta : `float` - The delta. tau : `float` - The tau. Returns: `float` Modifiers: abstract	Phi0s the of reduced variables. (Page 1541, Table 28 in [2]) delta : `float` The delta. tau : `float` The tau. Returns: `float`
`this.Phi0_tau_OfReducedVariables` Full Usage: `this.Phi0_tau_OfReducedVariables` Parameters: delta : `float` - The delta. tau : `float` - The tau. Returns: `float` First derivative of Phi0 the of reduced variables with respect to the inverse reduced temperature. Modifiers: abstract	First derivative of Phi0 the of reduced variables with respect to the inverse reduced temperature. (Page 1541, Table 28) delta : `float` The delta. tau : `float` The tau. Returns: `float` First derivative of Phi0 the of reduced variables with respect to the inverse reduced temperature.
`this.Phi0_tautau_OfReducedVariables` Full Usage: `this.Phi0_tautau_OfReducedVariables` Parameters: delta : `float` - The delta. tau : `float` - The tau. Returns: `float` Second derivative of Phi0 the of reduced variables with respect to the inverse reduced temperature. Modifiers: abstract	Second derivative of Phi0 the of reduced variables with respect to the inverse reduced temperature. (Page 1541, Table 28) delta : `float` The delta. tau : `float` The tau. Returns: `float` Second derivative of Phi0 the of reduced variables with respect to the inverse reduced temperature.
`this.PhiR_OfReducedVariables` Full Usage: `this.PhiR_OfReducedVariables` Parameters: delta : `float` - The reduced density = (density / density at the critical point). tau : `float` - The reduced inverse temperature = (temperature at critical point / temperature). Returns: `float` The dimensionless Helmholtz energy. Modifiers: abstract	Calculates the residual part of the dimensionless Helmholtz energy in dependence on reduced density and reduced inverse temperature. delta : `float` The reduced density = (density / density at the critical point). tau : `float` The reduced inverse temperature = (temperature at critical point / temperature). Returns: `float` The dimensionless Helmholtz energy.
`this.PhiR_delta_OfReducedVariables` Full Usage: `this.PhiR_delta_OfReducedVariables` Parameters: delta : `float` - The reduced density. tau : `float` - The reduced inverse temperature. Returns: `float` First derivative of the residual part of the dimensionless Helmholtz energy with respect to the reduced density. Modifiers: abstract	Calculates the first derivative of the residual part of the dimensionless Helmholtz energy with respect to the reduced density delta. delta : `float` The reduced density. tau : `float` The reduced inverse temperature. Returns: `float` First derivative of the residual part of the dimensionless Helmholtz energy with respect to the reduced density.
`this.PhiR_deltadelta_OfReducedVariables` Full Usage: `this.PhiR_deltadelta_OfReducedVariables` Parameters: delta : `float` - The reduced density. tau : `float` - The reduced inverse temperature. Returns: `float` Second derivative of the residual part of the dimensionless Helmholtz energy with respect to the reduced density. Modifiers: abstract	Calculates the second derivative of the residual part of the dimensionless Helmholtz energy with respect to the reduced density delta. delta : `float` The reduced density. tau : `float` The reduced inverse temperature. Returns: `float` Second derivative of the residual part of the dimensionless Helmholtz energy with respect to the reduced density.
`this.PhiR_deltatau_OfReducedVariables` Full Usage: `this.PhiR_deltatau_OfReducedVariables` Parameters: delta : `float` - The reduced density. tau : `float` - The reduced inverse temperature. Returns: `float` First derivative of the residual part of the dimensionless Helmholtz energy with respect to the reduced density delta and the inverse reduced temperature tau. Modifiers: abstract	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. delta : `float` The reduced density. tau : `float` The reduced inverse temperature. Returns: `float` First derivative of the residual part of the dimensionless Helmholtz energy with respect to the reduced density delta and the inverse reduced temperature tau.
`this.PhiR_tau_OfReducedVariables` Full Usage: `this.PhiR_tau_OfReducedVariables` Parameters: delta : `float` - The reduced density. tau : `float` - The reduced inverse temperature. Returns: `float` First derivative of the residual part of the dimensionless Helmholtz energy with respect to the inverse reduced temperature. Modifiers: abstract	Calculates the first derivative of the residual part of the dimensionless Helmholtz energy with respect to the inverse reduced temperature. delta : `float` The reduced density. tau : `float` The reduced inverse temperature. Returns: `float` First derivative of the residual part of the dimensionless Helmholtz energy with respect to the inverse reduced temperature.
`this.PhiR_tautau_OfReducedVariables` Full Usage: `this.PhiR_tautau_OfReducedVariables` Parameters: delta : `float` - The reduced density. tau : `float` - The reduced inverse temperature. Returns: `float` Second derivative of the residual part of the dimensionless Helmholtz energy with respect to the inverse reduced temperature. Modifiers: abstract	Calculates the second derivative of the residual part of the dimensionless Helmholtz energy with respect to the inverse reduced temperature. delta : `float` The reduced density. tau : `float` The reduced inverse temperature. Returns: `float` Second derivative of the residual part of the dimensionless Helmholtz energy with respect to the inverse reduced temperature.
`this.SaturatedLiquidMoleDensityEstimate_FromTemperature` Full Usage: `this.SaturatedLiquidMoleDensityEstimate_FromTemperature` Parameters: temperature : `float` - The temperature in Kelvin. Returns: `float` An estimate for the saturated liquid mole density in mol/m³ at the given temperature. If the temperature is outside [TriplePointTemperature, CriticalPointTemperature], double.NaN is returned. Modifiers: abstract	Gets an estimate for the saturated liquid mole density in dependence on the temperature. temperature : `float` The temperature in Kelvin. Returns: `float` An estimate for the saturated liquid mole density in mol/m³ at the given temperature. If the temperature is outside [TriplePointTemperature, CriticalPointTemperature], double.NaN is returned.
`this.SaturatedVaporMoleDensityEstimate_FromTemperature` Full Usage: `this.SaturatedVaporMoleDensityEstimate_FromTemperature` Parameters: temperature : `float` - The temperature in K. Returns: `float` An estimate for the saturated vapor mole density in mol/m³ at the given temperature. If the temperature is outside [TriplePointTemperature, CriticalPointTemperature], double.NaN is returned. Modifiers: abstract	Gets an estimate for the saturated vapor mole density in dependence on the temperature. temperature : `float` The temperature in K. Returns: `float` An estimate for the saturated vapor mole density in mol/m³ at the given temperature. If the temperature is outside [TriplePointTemperature, CriticalPointTemperature], double.NaN is returned.
`this.SaturatedVaporPressureEstimateAndDerivativeWrtTemperature_FromTemperature` Full Usage: `this.SaturatedVaporPressureEstimateAndDerivativeWrtTemperature_FromTemperature` Parameters: temperature : `float` - The temperature in Kelvin. Returns: `float * float` An estimate for the saturated vapor pressure in Pa and the derivative w.r.t. temperature in Pa/K at the given temperature. If the temperature is outside [TriplePointTemperature, CriticalPointTemperature], (double.NaN, double.NaN) is returned. Modifiers: abstract	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. temperature : `float` The temperature in Kelvin. Returns: `float * float` An estimate for the saturated vapor pressure in Pa and the derivative w.r.t. temperature in Pa/K at the given temperature. If the temperature is outside [TriplePointTemperature, CriticalPointTemperature], (double.NaN, double.NaN) is returned.
`this.SaturatedVaporPressureEstimate_FromTemperature` Full Usage: `this.SaturatedVaporPressureEstimate_FromTemperature` Parameters: temperature : `float` - The temperature in K. Returns: `float` An estimate for the saturated vapor pressure in Pa at the given temperature. If the temperature is outside [TriplePointTemperature, CriticalPointTemperature], double.NaN is returned. Modifiers: abstract	Gets an estimate for the saturated vapor pressure in dependence on the temperature. temperature : `float` The temperature in K. Returns: `float` An estimate for the saturated vapor pressure in Pa at the given temperature. If the temperature is outside [TriplePointTemperature, CriticalPointTemperature], double.NaN is returned.
`this.ShortName` Full Usage: `this.ShortName` Returns: `string` Modifiers: abstract	The short name of the fluid. Returns: `string`
`this.SublimationPressureEstimateAndDerivativeWrtTemperature_FromTemperature` Full Usage: `this.SublimationPressureEstimateAndDerivativeWrtTemperature_FromTemperature` Parameters: temperature : `float` Returns: `float * float`	temperature : `float` Returns: `float * float`
`this.SublimationPressureEstimate_FromTemperature` Full Usage: `this.SublimationPressureEstimate_FromTemperature` Parameters: temperature : `float` Returns: `float`	temperature : `float` Returns: `float`
`this.SublimationTemperatureEstimate_FromPressure` Full Usage: `this.SublimationTemperatureEstimate_FromPressure` Parameters: pressure : `float` - The pressure in Pa. ?relativeAccuracy : `float` - The relative accuracy of the pressure back-calculated for the returned temperature. Returns: `float` An estimate of the sublimation temperature. Should have about +-1 K accuracy down to TriplePointTemperature/2. For lower temperatures the deviation is higher..	Gets an estimate of the sublimation temperature for a given pressure, using Newton-Raphson iteration. pressure : `float` The pressure in Pa. ?relativeAccuracy : `float` The relative accuracy of the pressure back-calculated for the returned temperature. Returns: `float` An estimate of the sublimation temperature. Should have about +-1 K accuracy down to TriplePointTemperature/2. For lower temperatures the deviation is higher..
`this.Synonym` Full Usage: `this.Synonym` Returns: `string` Modifiers: abstract	The synonym of the name of the fluid. Returns: `string`
`this.UN_Numbers` Full Usage: `this.UN_Numbers` Returns: `IReadOnlyList<int>` Modifiers: abstract	The UN number of the fluid. Returns: `IReadOnlyList<int>`
`this.UpperMoleDensityLimit` Full Usage: `this.UpperMoleDensityLimit` Returns: `float` Modifiers: abstract	Gets the upper density limit of this model in mol/m³. Returns: `float`
`this.UpperPressureLimit` Full Usage: `this.UpperPressureLimit` Returns: `float` Modifiers: abstract	Gets the upper pressure limit of this model in Pa. Returns: `float`
`this.UpperTemperatureLimit` Full Usage: `this.UpperTemperatureLimit` Returns: `float` Modifiers: abstract	Gets the upper temperature limit of this model in K. Returns: `float`
`this.WorkingUniversalGasConstant` Full Usage: `this.WorkingUniversalGasConstant` Returns: `float` Modifiers: abstract	The Universal Gas Constant R at the time the model was developed. Returns: `float`