Modelica.Media.R134a.R134a_ph

Medium model for R134a and p,h as states

Information

Calculation of fluid properties for Tetrafluoroethane (R134a) in the fluid region of 0.0039 bar (Triple pressure) to 700 bar and 169.85 Kelvin (Triple temperature) to 455 Kelvin.

Restriction

The functions provided by this package shall be used inside of the restricted limits according to the referenced literature.

• 0.0039 bar ≤ p ≤ 700 bar
• 169.85 Kelvin ≤ T ≤ 455 Kelvin
• explicit for pressure and specific enthalpy

References

Baehr, H.D. and Tillner-Roth, R.:

Thermodynamic Properties of Environmentally Acceptable Refrigerants - Equations of State and Tables for Ammonia, R22, R134a, R152a, and R123. Springer-Verlag, Berlin (Germany), 1994.

Klein, McLinden and Laesecke:

An improved extended corresponding states method for estimation of viscosity of pure refrigerants and mixtures. Int. J. Refrig., Vol. 20, No.3, pp. 208-217, 1997.

McLinden, Klein. and Perkins:

An extended corresponding states model for the thermal conductivity of refrigerants and refrigerant mixtures. Int. J. Refrig., 23 (2000) 43-63.

Okada and Higashi:

Surface tension correlation of HFC-134a and HCFC-123. Proceedings of the Joint Meeting of IIR Commissions B1, B2, E1, and E2, Padua, Italy, pp. 541-548, 1994.

Extends from Modelica.Media.Interfaces.PartialTwoPhaseMedium (Base class for two phase medium of one substance).

Package Content

Name	Description
ph_explicit=true
dT_explicit=false
r134aLimits
r134aConstants
SaturationProperties
ThermodynamicState	Thermodynamic state
BaseProperties	Base properties of R134a
setState_phX	Set state for pressure and specific enthalpy (X not used since single substance)
setState_dTX	Set state for density and temperature (X not used since single substance)
setState_psX	Set state for pressure and specific entropy (X not used since single substance)
setState_pTX	Set state for pressure and temperature (X not used since single substance)
setBubbleState	Return the thermodynamic state on the bubble line
setDewState	Return the thermodynamic state on the dew line
density_ph	Density as function of pressure and specific enthalpy
density	Density as function of pressure and specific enthalpy | use setState_phX function for input
temperature_ph	Temperature as function of pressure and specific enthalpy
temperature	Temperature as function of pressure and specific enthalpy | use setState_phX function for input
pressure	Pressure w.r.t. thermodynamic state
specificInternalEnergy	Specific internal energy w.r.t. thermodynamic state
specificEnthalpy	Specific enthalpy w.r.t. thermodynamic state | use setState_phX function for input
specificEntropy	Specific entropy w.r.t. thermodynamic state | use setState_phX function for input if necessary
saturationTemperature	Saturation temperature in two-phase region
saturationTemperature_derp	Derivative of saturation temperature in two-phase region
saturationTemperature_der_p	Time derivative of saturation temperature in two-phase region
bubbleDensity	Density of liquid phase w.r.t saturation pressure | use setSat_p function for input
dBubbleDensity_dPressure	Derivative of liquid density in two-phase region w.r.t pressure
dBubbleDensity_dPressure_der_sat	Time derivative of liquid density in two-phase region w.r.t pressure
dewDensity	Density of vapor phase w.r.t saturation pressure | use setSat_p function for input
dDewDensity_dPressure	Derivative of vapor density in two-phase region w.r.t pressure
dDewDensity_dPressure_der_sat	Time derivative of vapor density in two-phase region w.r.t pressure
bubbleEnthalpy	Specific enthalpy of liquid phase w.r.t saturation pressure | use setSat_p function for input
dBubbleEnthalpy_dPressure	Derivative of liquid specific enthalpy in two-phase region w.r.t pressure
dBubbleEnthalpy_dPressure_der_sat	Time derivative of liquid specific enthalpy in two-phase region w.r.t pressure
dewEnthalpy	Specific enthalpy of vapor phase w.r.t saturation pressure | use setSat_p function for input
dDewEnthalpy_dPressure	Derivative of vapor specific enthalpy in two-phase region w.r.t pressure
dDewEnthalpy_dPressure_der_sat	Time derivative of vapor specific enthalpy in two-phase region w.r.t pressure
dewEntropy	Specific entropy of vapor phase w.r.t saturation pressure | use setSat_p function for input
dDewEntropy_dPressure	Derivative of vapor specific entropy in two-phase region w.r.t pressure | use setState_phX function for input
dDewEntropy_dPressure_der_sat	Time derivative of vapor specific entropy in two-phase region w.r.t pressure | use setState_phX function for input
bubbleEntropy	Specific entropy of liquid phase w.r.t saturation pressure | use setSat_p function for input
dBubbleEntropy_dPressure	Derivative of liquid specific entropy in two-phase region w.r.t pressure | use setState_phX function for input
dBubbleEntropy_dPressure_der_sat	Time derivative of liquid specific entropy in two-phase region w.r.t pressure | use setState_phX function for input
saturationPressure	Saturation pressure w.r.t. temperature
specificHeatCapacityCp	Specific heat capacity at constant pressure | turns infinite in two-phase region! | use setState_phX function for input
specificHeatCapacityCv	Specific heat capacity at constant volume | use setState_phX function for input
dynamicViscosity	Dynamic viscosity w.r.t. temperature and density | use setState_phX function for input
thermalConductivity	Thermal conductivity w.r.t. thermodynamic state | use setState_phX function for input
surfaceTension	Surface tension as a function of temperature (below critical point)
velocityOfSound	Velocity of sound w.r.t. thermodynamic state (only valid for one-phase)
isothermalCompressibility	Isothermal compressibility w.r.t. thermodynamic state (only valid for one-phase)
isobaricExpansionCoefficient	Isobaric expansion coefficient w.r.t. thermodynamic state (only valid for one-phase)
isentropicExponent	Isentropic exponent gamma w.r.t. thermodynamic state | not defined in two-phase region | use setState_phX function for input
specificGibbsEnergy	Specific gibbs energy w.r.t. thermodynamic state
specificHelmholtzEnergy	Helmholtz energy w.r.t. thermodynamic state
density_derh_p	Density derivative by specific enthalpy | use setState_phX function for input
density_derp_h	Density derivative by pressure | use setState_phX function for input
isentropicEnthalpy	Isentropic enthalpy of downstream pressure and upstream thermodynamic state (specific entropy)
derivsOf_ph	Derivatives required for inversion of temperature and density functions
dt_ph	Density and temperature w.r.t. pressure and specific enthalpy
dtofphOnePhase	Density and temperature w.r.t. pressure and specific enthalpy in one-phase region
dtofpsOnePhase	Inverse iteration in one phase region (d,T) = f(p,s)
f_R134a	Calculation of helmholtz derivatives by density and temperature
fid_R134a	Helmholtz coefficients of ideal part
fres_R134a	Calculation of helmholtz derivatives
getPhase_ph	Number of phases by pressure and specific enthalpy
getPhase_ps	Number of phases by pressure and entropy
hofpsTwoPhase	Isentropic specific enthalpy in two phase region h(p,s)
R134a_liqofdT	Properties on liquid boundary phase
R134a_vapofdT	Properties on vapor boundary phase
rho_ph_der	Time derivative function of density_ph
rho_props_ph	Density as function of pressure and specific enthalpy
T_ph_der	Time derivative function of T_ph
T_props_ph	Temperature as function of pressure and specific enthalpy
setSmoothState	Smooth transition function between state_a and state_b
dofpT	Compute d for given p and T
hofpT	Compute h for given p and T
phaseBoundaryAssert	Assert function for checking threshold to phase boundary
Inherited
smoothModel=false	True if the (derived) model should not generate state events
onePhase=false	True if the (derived) model should never be called with two-phase inputs
fluidConstants	Constant data for the fluid
setSat_T	Return saturation property record from temperature
setSat_p	Return saturation property record from pressure
saturationPressure_sat	Return saturation temperature
saturationTemperature_sat	Return saturation temperature
saturationTemperature_derp_sat	Return derivative of saturation temperature w.r.t. pressure
molarMass	Return the molar mass of the medium
specificEnthalpy_pTX	Return specific enthalpy from pressure, temperature and mass fraction
temperature_phX	Return temperature from p, h, and X or Xi
density_phX	Return density from p, h, and X or Xi
temperature_psX	Return temperature from p, s, and X or Xi
density_psX	Return density from p, s, and X or Xi
specificEnthalpy_psX	Return specific enthalpy from p, s, and X or Xi
setState_pT	Return thermodynamic state from p and T
setState_ph	Return thermodynamic state from p and h
setState_ps	Return thermodynamic state from p and s
setState_dT	Return thermodynamic state from d and T
setState_px	Return thermodynamic state from pressure and vapour quality
setState_Tx	Return thermodynamic state from temperature and vapour quality
vapourQuality	Return vapour quality
pressure_dT	Return pressure from d and T
specificEnthalpy_dT	Return specific enthalpy from d and T
specificEnthalpy_ps	Return specific enthalpy from p and s
temperature_ps	Return temperature from p and s
density_ps	Return density from p and s
specificEnthalpy_pT	Return specific enthalpy from p and T
density_pT	Return density from p and T
ThermoStates	Enumeration type for independent variables
mediumName="unusablePartialMedium"	Name of the medium
substanceNames={mediumName}	Names of the mixture substances. Set substanceNames={mediumName} if only one substance.
extraPropertiesNames=fill("", 0)	Names of the additional (extra) transported properties. Set extraPropertiesNames=fill("",0) if unused
singleState	= true, if u and d are not a function of pressure
reducedX=true	= true if medium contains the equation sum(X) = 1.0; set reducedX=true if only one substance (see docu for details)
fixedX=false	= true if medium contains the equation X = reference_X
reference_p=101325	Reference pressure of Medium: default 1 atmosphere
reference_T=298.15	Reference temperature of Medium: default 25 deg Celsius
reference_X=fill(1/nX, nX)	Default mass fractions of medium
p_default=101325	Default value for pressure of medium (for initialization)
T_default=Modelica.SIunits.Conversions.from_degC(20)	Default value for temperature of medium (for initialization)
h_default=specificEnthalpy_pTX(p_default, T_default, X_default)	Default value for specific enthalpy of medium (for initialization)
X_default=reference_X	Default value for mass fractions of medium (for initialization)
nS=size(substanceNames, 1)	Number of substances
nX=nS	Number of mass fractions
nXi=if fixedX then 0 else if reducedX then nS - 1 else nS	Number of structurally independent mass fractions (see docu for details)
nC=size(extraPropertiesNames, 1)	Number of extra (outside of standard mass-balance) transported properties
C_nominal=1.0e-6*ones(nC)	Default for the nominal values for the extra properties
FluidConstants	Critical, triple, molecular and other standard data of fluid
prandtlNumber	Return the Prandtl number
heatCapacity_cp	Alias for deprecated name
heatCapacity_cv	Alias for deprecated name
beta	Alias for isobaricExpansionCoefficient for user convenience
kappa	Alias of isothermalCompressibility for user convenience
density_derp_T	Return density derivative w.r.t. pressure at const temperature
density_derT_p	Return density derivative w.r.t. temperature at constant pressure
density_derX	Return density derivative w.r.t. mass fraction
specificEntropy_pTX	Return specific enthalpy from p, T, and X or Xi
density_pTX	Return density from p, T, and X or Xi
MassFlowRate	Type for mass flow rate with medium specific attributes
AbsolutePressure	Type for absolute pressure with medium specific attributes
Density	Type for density with medium specific attributes
DynamicViscosity	Type for dynamic viscosity with medium specific attributes
EnthalpyFlowRate	Type for enthalpy flow rate with medium specific attributes
MassFraction	Type for mass fraction with medium specific attributes
MoleFraction	Type for mole fraction with medium specific attributes
MolarMass	Type for molar mass with medium specific attributes
MolarVolume	Type for molar volume with medium specific attributes
IsentropicExponent	Type for isentropic exponent with medium specific attributes
SpecificEnergy	Type for specific energy with medium specific attributes
SpecificInternalEnergy	Type for specific internal energy with medium specific attributes
SpecificEnthalpy	Type for specific enthalpy with medium specific attributes
SpecificEntropy	Type for specific entropy with medium specific attributes
SpecificHeatCapacity	Type for specific heat capacity with medium specific attributes
SurfaceTension	Type for surface tension with medium specific attributes
Temperature	Type for temperature with medium specific attributes
ThermalConductivity	Type for thermal conductivity with medium specific attributes
PrandtlNumber	Type for Prandtl number with medium specific attributes
VelocityOfSound	Type for velocity of sound with medium specific attributes
ExtraProperty	Type for unspecified, mass-specific property transported by flow
CumulativeExtraProperty	Type for conserved integral of unspecified, mass specific property
ExtraPropertyFlowRate	Type for flow rate of unspecified, mass-specific property
IsobaricExpansionCoefficient	Type for isobaric expansion coefficient with medium specific attributes
DipoleMoment	Type for dipole moment with medium specific attributes
DerDensityByPressure	Type for partial derivative of density with respect to pressure with medium specific attributes
DerDensityByEnthalpy	Type for partial derivative of density with respect to enthalpy with medium specific attributes
DerEnthalpyByPressure	Type for partial derivative of enthalpy with respect to pressure with medium specific attributes
DerDensityByTemperature	Type for partial derivative of density with respect to temperature with medium specific attributes
DerTemperatureByPressure	Type for partial derivative of temperature with respect to pressure with medium specific attributes
FluidLimits	Validity limits for fluid model
FixedPhase	Phase of the fluid: 1 for 1-phase, 2 for two-phase, 0 for not known, e.g., interactive use
Basic	The most basic version of a record used in several degrees of detail
IdealGas	The ideal gas version of a record used in several degrees of detail
TwoPhase	The two phase fluid version of a record used in several degrees of detail

Modelica.Media.R134a.R134a_ph.SaturationProperties

Information

Extends from (Saturation properties of two phase medium).

Modelica.Media.R134a.R134a_ph.ThermodynamicState

Thermodynamic state

Information

Extends from (Thermodynamic state of two phase medium).

Modelica.Media.R134a.R134a_ph.BaseProperties

Base properties of R134a

Information

Extends from (Base properties (p, d, T, h, u, R, MM, sat) of two phase medium).

Parameters

Modelica.Media.R134a.R134a_ph.setState_phX

Set state for pressure and specific enthalpy (X not used since single substance)

Information

This function should be used by default in order to calculate the thermodynamic state record used as input by many functions.

Example:

     parameter Medium.AbsolutePressure p = 3e5;
     parameter Medium.SpecificEnthalpy h = 4.2e5;

     Medium.Density rho;

     equation

     rho = Medium.density(setState_phX(p, h, fill(0, Medium.nX)));

Extends from (Return thermodynamic state as function of p, h and composition X or Xi).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.setState_dTX

Set state for density and temperature (X not used since single substance)

Information

Although the medium package is explicit for pressure and specific enthalpy, this function may be used in order to calculate the thermodynamic state record used as input by many functions. It will calculate the missing states:

• pressure
• specific enthalpy

Example:

     parameter Medium.Density d = 4;
     parameter Medium.Temperature T = 298;

     Medium.SpecficEntropy s;

     equation

     s = Medium.specificEntropy(setState_dTX(d, T, fill(0, Medium.nX)));

Extends from (Return thermodynamic state as function of d, T and composition X or Xi).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.setState_psX

Set state for pressure and specific entropy (X not used since single substance)

Information

This function may be used in order to calculate the thermodynamic state record used as input by many functions. It will calculate the missing states:

• density
• pressure
• specific enthalpy

Example:

     parameter Medium.AbsolutePressure p = 3e5;
     parameter Medium.SpecficEntropy s = 1.7e3;

     Medium.SpecficEnthalpy h;

     equation

     h = Medium.specificEnthalpy(setState_psX(p, s, fill(0, Medium.nX)));

Extends from (Return thermodynamic state as function of p, s and composition X or Xi).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.setState_pTX

Set state for pressure and temperature (X not used since single substance)

Information

This function should be used by default in order to calculate the thermodynamic state record used as input by many functions.

Example:

     parameter Medium.AbsolutePressure p = 3e5;
     parameter Medium.Temperature T = 290;

     Medium.Density rho;

     equation

     rho = Medium.density(setState_pTX(p, T, fill(0, Medium.nX)));

Please note, that in contrast to setState_phX, setState_dTX and setState_psX this function can not calculate properties in the two-phase region since pressure and temperature are dependent variables. A guard function will be called if the temperature difference to the phase boundary is lower than 1K or the pressure difference to the critical pressure is lower than 1000 Pa.

Extends from (Return thermodynamic state as function of p, T and composition X or Xi).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.setBubbleState

Return the thermodynamic state on the bubble line

Information

This function shall be used in order to calculate the thermodynamic state record for the liquid phase boundary. It requires the saturation record as input which can be determined by both functions setSat_p and setSat_T:

Example:

    Medium.AbsolutePressure p=3e5;
    // Viscosity on the liquid phase boundary
    Modelica.SIunits.DynamicViscosity eta_liq;

    equation

    eta_liq = Medium.DynamicViscosity(Medium.setBubbleState(Medium.setSat_p(p)));

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from (Return the thermodynamic state on the bubble line).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.setDewState

Return the thermodynamic state on the dew line

Information

This function shall be used in order to calculate the thermodynamic state record for the vapor phase boundary. It requires the saturation record as input which can be determined by both functions setSat_p and setSat_T:

Example:

    Medium.AbsolutePressure p=3e5;
    // Viscosity on the vapor phase boundary
    Modelica.SIunits.DynamicViscosity eta_vap;

    equation

    eta_vap = Medium.DynamicViscosity(Medium.setBubbleState(Medium.setSat_p(p)));

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from (Return the thermodynamic state on the dew line).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.density_ph

Density as function of pressure and specific enthalpy

Information

This function calculates the density of R134a from the state variables p (absolute pressure) and h (specific enthalpy). The density is modelled by the fundamental equation of state of Tillner-Roth and Baehr (1994).

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.density

Density as function of pressure and specific enthalpy | use setState_phX function for input

Information

This function calculates the density of R134a from the state record (e.g., use setState_phX function for input). The density is modelled by the fundamental equation of state of Tillner-Roth and Baehr (1994).

Extends from (Return density).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.temperature_ph

Temperature as function of pressure and specific enthalpy

Information

This function calculates the Kelvin temperature of R134a from the state variables p (absolute pressure) and h (specific enthalpy). The temperature is modelled by the fundamental equation of state of Tillner-Roth and Baehr (1994).

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.temperature

Temperature as function of pressure and specific enthalpy | use setState_phX function for input

Information

This function calculates the Kelvin temperature of R134a from the state record (e.g., use setState_phX function for input). The temperature is modelled by the fundamental equation of state of Tillner-Roth and Baehr (1994).

Extends from (Return temperature).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.pressure

Pressure w.r.t. thermodynamic state

Information

This function is included for the sake of completness.

Extends from (Return pressure).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.specificInternalEnergy

Specific internal energy w.r.t. thermodynamic state

Information

This function calculates the specific internal energy of R134a from the state record (e.g., use setState_phX function for input). The specific internal energy is modelled by the fundamental equation of state of Tillner-Roth and Baehr (1994).

Extends from (Return specific internal energy).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.specificEnthalpy

Specific enthalpy w.r.t. thermodynamic state | use setState_phX function for input

Information

This function is included for the sake of completness.

Extends from (Return specific enthalpy).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.specificEntropy

Specific entropy w.r.t. thermodynamic state | use setState_phX function for input if necessary

Information

This function calculates the specific entropy of R134a from the state record (e.g., use setState_phX function for input). The specific entropy is modelled by the fundamental equation of state of Tillner-Roth and Baehr (1994).

Extends from (Return specific entropy).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.saturationTemperature

Saturation temperature in two-phase region

Information

This function calculates the saturation temperature of R134a from the state variable p (absolute pressure). It is modelled by cubic splines which are fitted with non-equidistant grid points derived from the fundamental equation of state of Tillner-Roth and Baehr (1994) and the Maxwell criteria.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from (Return saturation temperature).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.saturationTemperature_derp

Derivative of saturation temperature in two-phase region

Information

This function calculates the derivative of saturation temperature of R134a with regard to the state variable p (absolute pressure). The non-derivative function is saturatuionTemperature.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from (Return derivative of saturation temperature w.r.t. pressure).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.saturationTemperature_der_p

Time derivative of saturation temperature in two-phase region

Information

This function calculates the time derivative of saturation temperature of R134a with regard to the time derivative of p. The non-derivative function is saturatuionTemperature.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.bubbleDensity

Density of liquid phase w.r.t saturation pressure | use setSat_p function for input

Information

This function calculates the liquid phase density of R134a from the state variable p (absolute pressure). It is modelled by cubic splines which are fitted with non-equidistant grid points derived from the fundamental equation of state of Tillner-Roth and Baehr (1994) and the Maxwell criteria.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from (Return bubble point density).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.dBubbleDensity_dPressure

Derivative of liquid density in two-phase region w.r.t pressure

Information

This function calculates the derivative of liquid density of R134a in the two-phase region with regard to the state variable p (absolute pressure). The non-derivative function is bubbleDensity.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from (Return bubble point density derivative).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.dBubbleDensity_dPressure_der_sat

Time derivative of liquid density in two-phase region w.r.t pressure

Information

This function calculates the time derivative of liquid density of R134a with regard to the time derivative of p. The non-derivative function is bubbleDensity.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.dewDensity

Density of vapor phase w.r.t saturation pressure | use setSat_p function for input

Information

This function calculates the vapor phase density of R134a from the state variable p (absolute pressure). It is modelled by cubic splines which are fitted with non-equidistant grid points derived from the fundamental equation of state of Tillner-Roth and Baehr (1994) and the Maxwell criteria.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from (Return dew point density).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.dDewDensity_dPressure

Derivative of vapor density in two-phase region w.r.t pressure

Information

This function calculates the derivative of vapor density of R134a in two-phase region with regard to the state variable p (absolute pressure). The non-derivative function is dewDensity.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from (Return dew point density derivative).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.dDewDensity_dPressure_der_sat

Time derivative of vapor density in two-phase region w.r.t pressure

Information

This function calculates the time derivative of vapor density of R134a with regard to the time derivative of p. The non-derivative function is dewDensity.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.bubbleEnthalpy

Specific enthalpy of liquid phase w.r.t saturation pressure | use setSat_p function for input

Information

This function calculates the liquid phase enthalpy of R134a from the state variable p (absolute pressure). It is modelled by cubic splines which are fitted with non-equidistant grid points derived from the fundamental equation of state of Tillner-Roth and Baehr (1994) and the Maxwell criteria.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from (Return bubble point specific enthalpy).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.dBubbleEnthalpy_dPressure

Derivative of liquid specific enthalpy in two-phase region w.r.t pressure

Information

This function calculates the derivative of liquid enthalpy of R134a with regard to the state variable p (absolute pressure). The non-derivative function is bubbleEnthalpy.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from (Return bubble point specific enthalpy derivative).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.dBubbleEnthalpy_dPressure_der_sat

Time derivative of liquid specific enthalpy in two-phase region w.r.t pressure

Information

This function calculates the time derivative of liquid specific enthalpy of R134a with regard to the time derivative of p. The non-derivative function is bubbleEnthalpy.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.dewEnthalpy

Specific enthalpy of vapor phase w.r.t saturation pressure | use setSat_p function for input

Information

This function calculates the vapor phase enthalpy of R134a from the state variable p (absolute pressure). It is modelled by cubic splines which are fitted with non-equidistant grid points derived from the fundamental equation of state of Tillner-Roth and Baehr (1994) and the Maxwell criteria.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from (Return dew point specific enthalpy).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.dDewEnthalpy_dPressure

Derivative of vapor specific enthalpy in two-phase region w.r.t pressure

Information

This function calculates the derivative of vapor enthalpy of R134a in the two-phase region with regard to the state variable p (absolute pressure). The non-derivative function is dewEnthalpy.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from (Return dew point specific enthalpy derivative).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.dDewEnthalpy_dPressure_der_sat

Time derivative of vapor specific enthalpy in two-phase region w.r.t pressure

Information

This function calculates the time derivative of vapor enthalpy of R134a with regard to the time derivative of p. The non-derivative function is dewEnthalpy.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.dewEntropy

Specific entropy of vapor phase w.r.t saturation pressure | use setSat_p function for input

Information

This function calculates the vapor phase entropy of R134a from the state variable p (absolute pressure). It is modelled by cubic splines which are fitted with non-equidistant grid points derived from the fundamental equation of state of Tillner-Roth and Baehr (1994) and the Maxwell criteria.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from (Return dew point specific entropy).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.dDewEntropy_dPressure

Derivative of vapor specific entropy in two-phase region w.r.t pressure | use setState_phX function for input

Information

This function calculates the derivative of vapor entropy of R134a with regard to the state variable p (absolute pressure). The non-derivative function is dewEntropy.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.dDewEntropy_dPressure_der_sat

Time derivative of vapor specific entropy in two-phase region w.r.t pressure | use setState_phX function for input

Information

This function calculates the time derivative of vapor specific entropy of R134a with regard to the time derivative of p. The non-derivative function is dewEntropy.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.bubbleEntropy

Specific entropy of liquid phase w.r.t saturation pressure | use setSat_p function for input

Information

This function calculates the liquid phase entropy of R134a from the state variable p (absolute pressure). It is modelled by cubic splines which are fitted with non-equidistant grid points derived from the fundamental equation of state of Tillner-Roth and Baehr (1994) and the Maxwell criteria.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from (Return bubble point specific entropy).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.dBubbleEntropy_dPressure

Derivative of liquid specific entropy in two-phase region w.r.t pressure | use setState_phX function for input

Information

This function calculates the derivative of liquid entropy of R134a with regard to the state variable p (absolute pressure). The non-derivative function is bubbleEntropy.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.dBubbleEntropy_dPressure_der_sat

Time derivative of liquid specific entropy in two-phase region w.r.t pressure | use setState_phX function for input

Information

This function calculates the time derivative of liquid specific entropy of R134a with regard to the time derivative of p. The non-derivative function is bubbleEntropy.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.saturationPressure

Saturation pressure w.r.t. temperature

Information

This function calculates the saturation pressure of R134a from the state variable T (temperature). It is modelled by cubic splines which are fitted with non-equidistant grid points derived from the fundamental equation of state of Tillner-Roth and Baehr (1994) and the Maxwell criteria.

Restrictions

It is only valid in the two-phase region (i.e., p_triple ≤ p ≤ p_crit ).

Extends from (Return saturation pressure).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.specificHeatCapacityCp

Specific heat capacity at constant pressure | turns infinite in two-phase region! | use setState_phX function for input

Information

This function calculates the specific heat capacity of R134a at constant pressure from the state record (e.g., use setState_phX function for input). The specific heat capacity is modelled by the fundamental equation of state of Tillner-Roth and Baehr (1994).

Restrictions

This property is only defined in one-phase region.

Extends from (Return specific heat capacity at constant pressure).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.specificHeatCapacityCv

Specific heat capacity at constant volume | use setState_phX function for input

Information

This function calculates the specific heat capacity of R134a at constant volume from the state record (e.g., use setState_phX function for input). The specific heat capacity is modelled by the fundamental equation of state of Tillner-Roth and Baehr (1994).

Please note, that the function can also be called in the two-phase region, but the output is not continuous for a phase transition (see Tillner-Roth and Baehr, 1994). Values in two-phase region are considerably higher than in one-phase domain. The following figure just shows one-phase properties.

Extends from (Return specific heat capacity at constant volume).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.dynamicViscosity

Dynamic viscosity w.r.t. temperature and density | use setState_phX function for input

Information

This function calculates the dynamic viscosity of R134a from the state record (e.g., use setState_phX function for input). The dynamic viscosity is modelled by the corresponding states method of Klein, McLinden and Laesecke (1997).

Restrictions

This property is only defined in one-phase region.

References

Klein, McLinden and Laesecke:

An improved extended corresponding states method for estimation of viscosity of pure refrigerants and mixtures. Int. J. Refrig., Vol. 20, No.3, pp. 208-217, 1997.

Extends from (Return dynamic viscosity).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.thermalConductivity

Thermal conductivity w.r.t. thermodynamic state | use setState_phX function for input

Information

This function calculates the thermal conductivity of R134a from the state record (e.g., use setState_phX function for input). The thermal conductivity is modelled by the corresponding states model of McLinden, Klein. and Perkins (2000).

Restrictions

This property is only defined in one-phase region.

References

McLinden, Klein. and Perkins:

An extended corresponding states model for the thermal conductivity of refrigerants and refrigerant mixtures. Int. J. Refrig., 23 (2000) 43-63.

Extends from (Return thermal conductivity).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.surfaceTension

Surface tension as a function of temperature (below critical point)

Information

This function calculates the surface tension of R134a from the saturation record (e.g., use setSat_T function for input). The property is modelled by an approach of Okada and Higashi (1994).

Restrictions

This property is only defined in two-phase region.

References

Okada and Higashi:

Surface tension correlation of HFC-134a and HCFC-123. Proceedings of the Joint Meeting of IIR Commissions B1, B2, E1, and E2, Padua, Italy, pp. 541-548, 1994.

Extends from (Return surface tension sigma in the two phase region).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.velocityOfSound

Velocity of sound w.r.t. thermodynamic state (only valid for one-phase)

Information

This function calculates the velocity of sound of R134a from the state record (e.g., use setState_phX function for input). The velocity of sound is modelled by the fundamental equation of state of Tillner-Roth and Baehr (1994).

Restrictions

This property is only defined in one-phase region.

Extends from (Return velocity of sound).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.isothermalCompressibility

Isothermal compressibility w.r.t. thermodynamic state (only valid for one-phase)

Information

This function calculates the isothermal compressibility of R134a from the state record (e.g., use setState_phX function for input). The isothermal compressibility is modelled by the fundamental equation of state of Tillner-Roth and Baehr (1994).

Restrictions

This property is only defined in one-phase region.

Extends from (Return overall the isothermal compressibility factor).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.isobaricExpansionCoefficient

Isobaric expansion coefficient w.r.t. thermodynamic state (only valid for one-phase)

Information

This function calculates the isobaric expansion coefficient of R134a from the state record (e.g., use setState_phX function for input). The isobaric expansion coefficient is modelled by the fundamental equation of state of Tillner-Roth and Baehr (1994).

Restrictions

This property is only defined in one-phase region.

Extends from (Return overall the isobaric expansion coefficient beta).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.isentropicExponent

Isentropic exponent gamma w.r.t. thermodynamic state | not defined in two-phase region | use setState_phX function for input

Information

This function calculates the isentropic exponent of R134a from the state record (e.g., use setState_phX function for input). The isentropic exponent is modelled by the fundamental equation of state of Tillner-Roth and Baehr (1994).

Restrictions

This property is only defined in one-phase region.

Extends from (Return isentropic exponent).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.specificGibbsEnergy

Specific gibbs energy w.r.t. thermodynamic state

Information

This function calculates the specific Gibbs energy of R134a from the state record (e.g., use setState_phX function for input). The isentropic exponent is modelled by the fundamental equation of state of Tillner-Roth and Baehr (1994).

Extends from (Return specific Gibbs energy).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.specificHelmholtzEnergy

Helmholtz energy w.r.t. thermodynamic state

Information

This function calculates the specific Helmholtz energy of R134a from the state record (e.g., use setState_phX function for input). The Helmholtz energy is modelled by the fundamental equation of state of Tillner-Roth and Baehr (1994).

Extends from (Return specific Helmholtz energy).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.density_derh_p

Density derivative by specific enthalpy | use setState_phX function for input

Information

This function calculates the density derivative w.r.t. specific enthalpy at constant pressure of R134a (e.g., use setState_phX function for input). The derivative is modelled by the fundamental equation of state of Tillner-Roth and Baehr (1994). It can be used for manual state transformations (e.g. from density to specific enthalpy).

Extends from (Return density derivative w.r.t. specific enthalpy at constant pressure).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.density_derp_h

Density derivative by pressure | use setState_phX function for input

Information

This function calculates the density derivative w.r.t. absolute pressure at constant specific enthalpy of R134a (e.g., use setState_phX function for input). The derivative is modelled by the fundamental equation of state of Tillner-Roth and Baehr (1994). It can be used for manual state transformations (e.g. from density to pressure).

Extends from (Return density derivative w.r.t. pressure at const specific enthalpy).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.isentropicEnthalpy

Isentropic enthalpy of downstream pressure and upstream thermodynamic state (specific entropy)

Information

This function calculates the specific enthalpy of R134a for an isentropic pressure change from refState.p to p_downstream (e.g., use setState_phX function for input of refState).

The function can be used for instance to calculate an isentropic efficiency of a compressor or calculate the power consumption (obtained from the isentropic enthalpy) for a given efficiency.

Example:

     Medium.AbsolutePressure p_downstream=10e5;
     Medium.SpecificEnthalpy h_downstream=4.1e5;
     Medium.AbsolutePressure p_upstream=3e5;
     Medium.SpecificEnthalpy h_upstream=4.0e5;

     // Isentropic efficiency of a compressor:
     Real eta_is;

    equation

     h_is = isentropicEnthalpy(p_downstream, Medium.setState_phX(p_upstream, h_upstream));

     eta_is = (h_is-h_upstream)/(h_downstream - h_upstream);

Restrictions

The isentropic efficiency function should not be applied in liquid region.

Extends from (Return isentropic enthalpy).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.derivsOf_ph

Derivatives required for inversion of temperature and density functions

Information

This function calculates the derivatives required for an inversion of temperature and density function.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.dt_ph

Density and temperature w.r.t. pressure and specific enthalpy

Information

This function calculates the density and temperature of R134a from absolute pressure and specific enthalpy. In one-phase region the function calls the fundamental Helmholtz equation of Tillner-Roth (1994). In two-phase the density and temperature is computed from cubic splines for saturated pressure, liquid and vapor density.

Restrictions

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.dtofphOnePhase

Density and temperature w.r.t. pressure and specific enthalpy in one-phase region

Information

This function calculates the density and temperature of R134a from absolute pressure and specific enthalpy in one-phase region. The function calls the fundamental Helmholtz equation of Tillner-Roth (1994) which is requiring density and temperature for input. Thus, a newton iteration is performed to determine density and temperature. The newton iteration stops if the inputs for pressure difference delp and specific enthalpy difference delh are larger than the actual differences derived from the newton iteration.

Restrictions

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.dtofpsOnePhase

Inverse iteration in one phase region (d,T) = f(p,s)

Information

This function calculates the density and temperature of R134a from absolute pressure and specific entropy in one-phase region. The function calls the fundamental helmholtz equation of Tillner-Roth (1994) which is requiring density and temperature for input. Thus, a newton iteration is performed to determine density and temperature. The newton iteration stops if the inputs for pressure difference delp and specific entropy difference dels are larger than the actual differences derived from the newton iteration.

Restrictions

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.f_R134a

Calculation of helmholtz derivatives by density and temperature

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.fid_R134a

Helmholtz coefficients of ideal part

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.fres_R134a

Calculation of helmholtz derivatives

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.getPhase_ph

Number of phases by pressure and specific enthalpy

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.getPhase_ps

Number of phases by pressure and entropy

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.hofpsTwoPhase

Isentropic specific enthalpy in two phase region h(p,s)

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.R134a_liqofdT

Properties on liquid boundary phase

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.R134a_vapofdT

Properties on vapor boundary phase

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.rho_ph_der

Time derivative function of density_ph

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.rho_props_ph

Density as function of pressure and specific enthalpy

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.T_ph_der

Time derivative function of T_ph

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.T_props_ph

Temperature as function of pressure and specific enthalpy

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.setSmoothState

Smooth transition function between state_a and state_b

Information

Extends from (Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.dofpT

Compute d for given p and T

Information

This function calculates the density of R134a from absolute pressure and temperature. The function can only be executed in one-phase region. The safety margin to the phase boundary is 1[K] and 1000[Pa].

Restrictions

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.hofpT

Compute h for given p and T

Information

This function calculates the specific enthalpy of R134a from absolute pressure and temperature. The function can only be executed in one-phase region. The safety margin to the phase boundary is 1[K] and 1000[Pa].

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Outputs

Modelica.Media.R134a.R134a_ph.phaseBoundaryAssert

Assert function for checking threshold to phase boundary

Information

Extends from Modelica.Icons.Function (Icon for functions).

Inputs