Properties of dry air calculated using the equation of state by Lemmon et. al.
This model calculates medium properties for air in the liquid, gas and two phase regions. Three variable pairs can be the independent variables of the model:
The following quantities are always computed:
Variable | Unit | Description |
T | K | temperature |
u | J/kg | specific internal energy |
d | kg/m^3 | density |
p | Pa | pressure |
h | J/kg | specific enthalpy |
In some cases additional medium properties are needed. A component that needs these optional properties has to call one of the functions listed in Modelica.Media.UsersGuide.MediumUsage.OptionalProperties and in Modelica.Media.UsersGuide.MediumUsage.TwoPhase.
Many further properties can be computed. Using the well-known Bridgman's Tables, all first partial derivatives of the standard thermodynamic variables can be computed easily.
Extends from Modelica.Media.Interfaces.PartialPureSubstance (Base class for pure substances of one chemical substance).
Name | Description |
---|---|
ph_explicit | True if explicit in pressure and specific enthalpy |
dT_explicit | True if explicit in density and temperature |
pT_explicit | True if explicit in pressure and temperature |
ThermodynamicState | Thermodynamic state |
BaseProperties | Base properties of air |
density_ph | Computes density as a function of pressure and specific enthalpy |
temperature_ph | Computes temperature as a function of pressure and specific enthalpy |
temperature_ps | Compute temperature from pressure and specific enthalpy |
density_ps | Computes density as a function of pressure and specific enthalpy |
pressure_dT | Computes pressure as a function of density and temperature |
specificEnthalpy_dT | Computes specific enthalpy as a function of density and temperature |
specificEnthalpy_pT | Computes specific enthalpy as a function of pressure and temperature |
specificEnthalpy_ps | Computes specific enthalpy as a function of pressure and temperature |
density_pT | Computes density as a function of pressure and temperature |
dynamicViscosity | Return dynamic viscosity as a function of the thermodynamic state record |
thermalConductivity | Thermal conductivity of air |
pressure | Return pressure of ideal gas |
temperature | Return temperature of ideal gas |
density | Return density of ideal gas |
specificEnthalpy | Return specific enthalpy |
specificInternalEnergy | Return specific internal energy |
specificGibbsEnergy | Return specific Gibbs energy |
specificHelmholtzEnergy | Return specific Helmholtz energy |
specificEntropy | Specific entropy of air |
specificHeatCapacityCp | Specific heat capacity at constant pressure of air |
specificHeatCapacityCv | Specific heat capacity at constant volume of air |
isentropicExponent | Return isentropic exponent |
isothermalCompressibility | Isothermal compressibility of air |
isobaricExpansionCoefficient | Isobaric expansion coefficient of air |
velocityOfSound | Return velocity of sound as a function of the thermodynamic state record |
density_derh_p | Density derivative by specific enthalpy |
density_derp_h | Density derivative by pressure |
setState_dTX | Return thermodynamic state of air as function of d and T |
setState_phX | Return thermodynamic state of air as function of p and h |
setState_psX | Return thermodynamic state of air as function of p and s |
setState_pTX | Return thermodynamic state of air as function of p and T |
setSmoothState | Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b |
isentropicEnthalpy | |
molarMass | Return the molar mass of the medium |
Inherited | |
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 |
ThermoStates | Enumeration type for independent variables |
mediumName="Air" | Name of the medium |
substanceNames={"air"} | 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=false | = 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=true | = 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) |
C_default=fill(0, nC) | Default value for trace substances 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 |
specificEnthalpy_pTX | Return specific enthalpy from p, T, and X or Xi |
specificEntropy_pTX | Return specific enthalpy from p, T, and X or Xi |
density_pTX | Return density from p, T, and X or Xi |
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 |
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 |
SaturationProperties | Saturation properties of two phase medium |
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 |
Thermodynamic state
Extends from (Minimal variable set that is available as input argument to every medium function).
Base properties of air
Name | Description |
---|---|
Advanced | |
preferredMediumStates | = true if StateSelect.prefer shall be used for the independent property variables of the medium |
Computes density as a function of pressure and specific enthalpy
Extends from Modelica.Icons.Function (Icon for functions).
Name | Description |
---|---|
p | Pressure [Pa] |
h | Specific enthalpy [J/kg] |
Name | Description |
---|---|
d | Density [kg/m3] |
Computes temperature as a function of pressure and specific enthalpy
Extends from Modelica.Icons.Function (Icon for functions).
Name | Description |
---|---|
p | Pressure [Pa] |
h | Specific enthalpy [J/kg] |
Name | Description |
---|---|
T | Temperature [K] |
Compute temperature from pressure and specific enthalpy
Extends from Modelica.Icons.Function (Icon for functions).
Name | Description |
---|---|
p | Pressure [Pa] |
s | Specific entropy [J/(kg.K)] |
Name | Description |
---|---|
T | Temperature [K] |
Computes density as a function of pressure and specific enthalpy
Extends from Modelica.Icons.Function (Icon for functions).
Name | Description |
---|---|
p | Pressure [Pa] |
s | Specific entropy [J/(kg.K)] |
Name | Description |
---|---|
d | Density [kg/m3] |
Computes pressure as a function of density and temperature
Extends from Modelica.Icons.Function (Icon for functions).
Name | Description |
---|---|
d | Density [kg/m3] |
T | Temperature [K] |
Name | Description |
---|---|
p | Pressure [Pa] |
Computes specific enthalpy as a function of density and temperature
Extends from Modelica.Icons.Function (Icon for functions).
Name | Description |
---|---|
d | Density [kg/m3] |
T | Temperature [K] |
Name | Description |
---|---|
h | Specific enthalpy [J/kg] |
Computes specific enthalpy as a function of pressure and temperature
Extends from Modelica.Icons.Function (Icon for functions).
Name | Description |
---|---|
p | Pressure [Pa] |
T | Temperature [K] |
Name | Description |
---|---|
h | Specific enthalpy [J/kg] |
Computes specific enthalpy as a function of pressure and temperature
Extends from Modelica.Icons.Function (Icon for functions).
Name | Description |
---|---|
p | Pressure [Pa] |
s | Specific entropy [J/(kg.K)] |
Name | Description |
---|---|
h | Specific enthalpy [J/kg] |
Computes density as a function of pressure and temperature
Extends from Modelica.Icons.Function (Icon for functions).
Name | Description |
---|---|
p | Pressure [Pa] |
T | Temperature [K] |
Name | Description |
---|---|
d | Density [kg/m3] |
Return dynamic viscosity as a function of the thermodynamic state record
Extends from (Return dynamic viscosity).
Name | Description |
---|---|
state | Thermodynamic state record |
Name | Description |
---|---|
eta | Dynamic viscosity [Pa.s] |
Thermal conductivity of air
Extends from (Return thermal conductivity).
Name | Description |
---|---|
state | Thermodynamic state record |
Name | Description |
---|---|
lambda | Thermal conductivity [W/(m.K)] |
Return pressure of ideal gas
Extends from (Return pressure).
Name | Description |
---|---|
state | Thermodynamic state record |
Name | Description |
---|---|
p | Pressure [Pa] |
Return temperature of ideal gas
Extends from (Return temperature).
Name | Description |
---|---|
state | Thermodynamic state record |
Name | Description |
---|---|
T | Temperature [K] |
Return density of ideal gas
Extends from (Return density).
Name | Description |
---|---|
state | Thermodynamic state record |
Name | Description |
---|---|
d | Density [kg/m3] |
Return specific enthalpy
Extends from (Return specific enthalpy).
Name | Description |
---|---|
state | Thermodynamic state record |
Name | Description |
---|---|
h | Specific enthalpy [J/kg] |
Return specific internal energy
Extends from (Return specific internal energy).
Name | Description |
---|---|
state | Thermodynamic state record |
Name | Description |
---|---|
u | Specific internal energy [J/kg] |
Return specific Gibbs energy
Extends from (Return specific Gibbs energy).
Name | Description |
---|---|
state | Thermodynamic state record |
Name | Description |
---|---|
g | Specific Gibbs energy [J/kg] |
Return specific Helmholtz energy
Extends from (Return specific Helmholtz energy).
Name | Description |
---|---|
state | Thermodynamic state record |
Name | Description |
---|---|
f | Specific Helmholtz energy [J/kg] |
Specific entropy of air
Extends from (Return specific entropy).
Name | Description |
---|---|
state | Thermodynamic state record |
Name | Description |
---|---|
s | Specific entropy [J/(kg.K)] |
Specific heat capacity at constant pressure of air
Extends from (Return specific heat capacity at constant pressure).
Name | Description |
---|---|
state | Thermodynamic state record |
Name | Description |
---|---|
cp | Specific heat capacity at constant pressure [J/(kg.K)] |
Specific heat capacity at constant volume of air
Extends from (Return specific heat capacity at constant volume).
Name | Description |
---|---|
state | Thermodynamic state record |
Name | Description |
---|---|
cv | Specific heat capacity at constant volume [J/(kg.K)] |
Return isentropic exponent
Extends from (Return isentropic exponent).
Name | Description |
---|---|
state | Thermodynamic state record |
Name | Description |
---|---|
gamma | Isentropic exponent [1] |
Isothermal compressibility of air
Extends from (Return overall the isothermal compressibility factor).
Name | Description |
---|---|
state | Thermodynamic state record |
Name | Description |
---|---|
kappa | Isothermal compressibility [1/Pa] |
Isobaric expansion coefficient of air
Extends from (Return overall the isobaric expansion coefficient beta).
Name | Description |
---|---|
state | Thermodynamic state record |
Name | Description |
---|---|
beta | Isobaric expansion coefficient [1/K] |
Return velocity of sound as a function of the thermodynamic state record
Extends from (Return velocity of sound).
Name | Description |
---|---|
state | Thermodynamic state record |
Name | Description |
---|---|
a | Velocity of sound [m/s] |
Density derivative by specific enthalpy
Extends from (Return density derivative w.r.t. specific enthalpy at constant pressure).
Name | Description |
---|---|
state | Thermodynamic state record |
Name | Description |
---|---|
ddhp | Density derivative w.r.t. specific enthalpy [kg.s2/m5] |
Density derivative by pressure
Extends from (Return density derivative w.r.t. pressure at const specific enthalpy).
Name | Description |
---|---|
state | Thermodynamic state record |
Name | Description |
---|---|
ddph | Density derivative w.r.t. pressure [s2/m2] |
Return thermodynamic state of air as function of d and T
Extends from (Return thermodynamic state as function of d, T and composition X or Xi).
Name | Description |
---|---|
d | Density [kg/m3] |
T | Temperature [K] |
X[:] | Mass fractions [kg/kg] |
Name | Description |
---|---|
state | Thermodynamic state record |
Return thermodynamic state of air as function of p and h
Extends from (Return thermodynamic state as function of p, h and composition X or Xi).
Name | Description |
---|---|
p | Pressure [Pa] |
h | Specific enthalpy [J/kg] |
X[:] | Mass fractions [kg/kg] |
Name | Description |
---|---|
state | Thermodynamic state record |
Return thermodynamic state of air as function of p and s
Extends from (Return thermodynamic state as function of p, s and composition X or Xi).
Name | Description |
---|---|
p | Pressure [Pa] |
s | Specific entropy [J/(kg.K)] |
X[:] | Mass fractions [kg/kg] |
Name | Description |
---|---|
state | Thermodynamic state record |
Return thermodynamic state of air as function of p and T
Extends from (Return thermodynamic state as function of p, T and composition X or Xi).
Name | Description |
---|---|
p | Pressure [Pa] |
T | Temperature [K] |
X[:] | Mass fractions [kg/kg] |
Name | Description |
---|---|
state | Thermodynamic state record |
Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b
Extends from (Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b).
Name | Description |
---|---|
x | m_flow or dp |
state_a | Thermodynamic state if x > 0 |
state_b | Thermodynamic state if x < 0 |
x_small | Smooth transition in the region -x_small < x < x_small |
Name | Description |
---|---|
state | Smooth thermodynamic state for all x (continuous and differentiable) |
Extends from (Return isentropic enthalpy).
Name | Description |
---|---|
p_downstream | Downstream pressure [Pa] |
refState | Reference state for entropy |
Name | Description |
---|---|
h_is | Isentropic enthalpy [J/kg] |
Return the molar mass of the medium
Extends from (Return the molar mass of the medium).
Name | Description |
---|---|
state | Thermodynamic state record |
Name | Description |
---|---|
MM | Mixture molar mass [kg/mol] |