A class for the air fluid properties. More...

#include <dumux/material/components/air.hh>

Inheritance diagram for Dumux::Components::Air< Scalar >:

Description

template<class Scalar>
class Dumux::Components::Air< Scalar >

Template Parameters

Scalar The type used for scalar values

Public Types
using	Scalar = Scalar
	export the scalar type used by the component More...

Static Public Member Functions
static std::string	name ()
	A human readable name for Air. More...

static constexpr Scalar	molarMass ()
	The molar mass in \(\mathrm{[kg/mol]}\) of Air. More...

static Scalar	criticalTemperature ()
	Returns the critical temperature \(\mathrm{[K]}\) of Air. More...

static Scalar	criticalPressure ()
	Returns the critical pressure \(\mathrm{[Pa]}\) of Air. More...

static Scalar	gasDensity (Scalar temperature, Scalar pressure)
	The density \(\mathrm{[kg/m^3]}\) of Air at a given pressure and temperature. More...

static Scalar	gasMolarDensity (Scalar temperature, Scalar pressure)
	The molar density of air in \(\mathrm{[mol/m^3]}\), depending on pressure and temperature. More...

static constexpr bool	gasIsCompressible ()
	Returns true, the gas phase is assumed to be compressible. More...

static constexpr bool	gasIsIdeal ()
	Returns true, the gas phase is assumed to be ideal. More...

static constexpr bool	gasViscosityIsConstant ()
	Returns true if the gas phase viscosity is constant. More...

static Scalar	gasPressure (Scalar temperature, Scalar density)
	The pressure \(\mathrm{[Pa]}\) of gaseous Air at a given density and temperature. More...

static Scalar	oldGasViscosity (Scalar temperature, Scalar pressure)
	The dynamic viscosity \(\mathrm{[Pa*s]}\) of Air at a given pressure and temperature. More...

static Scalar	gasViscosity (Scalar temperature, Scalar pressure)
	The dynamic viscosity \(\mathrm{[Pa*s]}\) of Air at a given pressure and temperature. More...

static Scalar	simpleGasViscosity (Scalar temperature, Scalar pressure)
	The dynamic viscosity \(\mathrm{[Pa*s]}\) of Air at a given pressure and temperature. More...

static Scalar	exactGasViscosity (Scalar temperature, Scalar pressure)
	The dynamic viscosity \(\mathrm{[Pa*s]}\) of Air at a given pressure and temperature. More...

static Scalar	gasEnthalpy (Scalar temperature, Scalar pressure)
	Specific enthalpy of Air \(\mathrm{[J/kg]}\) with 273.15 \( K \) as basis. More...

static const Scalar	gasInternalEnergy (Scalar temperature, Scalar pressure)
	Specific internal energy of Air \(\mathrm{[J/kg]}\). More...

static const Scalar	gasHeatCapacity (Scalar temperature, Scalar pressure)
	Specific isobaric heat capacity \(\mathrm{[J/(kg*K)]}\) of pure air. More...

static Scalar	gasThermalConductivity (Scalar temperature, Scalar pressure)
	Thermal conductivity \(\mathrm{[[W/(m*K)]}\) of air. More...

static void	init (Scalar tempMin, Scalar tempMax, unsigned nTemp, Scalar pressMin, Scalar pressMax, unsigned nPress)
	A default routine for initialization, not needed for components and must not be called. More...

static constexpr Scalar	tripleTemperature ()
	Returns the temperature in \(\mathrm{[K]}\) at the component's triple point. More...

static constexpr Scalar	triplePressure ()
	Returns the pressure in \(\mathrm{[Pa]}\) at the component's triple point. More...

static Scalar	vaporPressure (Scalar t)
	The vapor pressure in \(\mathrm{[Pa]}\) of the component at a given temperature in \(\mathrm{[K]}\). More...

Static Public Attributes
static constexpr bool	isTabulated
	if the component relies on tabulated values More...

Member Typedef Documentation

◆ Scalar

using Dumux::Components::Base< Scalar , Air< Scalar > >::Scalar = Scalar

inherited

Member Function Documentation

◆ criticalPressure()

template<class Scalar >

static Scalar Dumux::Components::Air< Scalar >::criticalPressure ( )

inlinestatic

◆ criticalTemperature()

template<class Scalar >

static Scalar Dumux::Components::Air< Scalar >::criticalTemperature ( )

inlinestatic

◆ exactGasViscosity()

template<class Scalar >

static Scalar Dumux::Components::Air< Scalar >::exactGasViscosity	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

This is a very exact approach by Lemmon and Jacobsen (2004) [49] All the values and parameters used below are explained in their paper Since they use ''eta'' for dyn. viscosity, we do it as well for easier comparison with the paper

Parameters

temperature	temperature of component in \(\mathrm{[K]}\)
pressure	pressure of component in \(\mathrm{[Pa]}\)

◆ gasDensity()

template<class Scalar >

static Scalar Dumux::Components::Air< Scalar >::gasDensity	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

Ideal gas is assumed.

Parameters

temperature	temperature of component in \(\mathrm{[K]}\)
pressure	pressure of phase in \(\mathrm{[Pa]}\)

◆ gasEnthalpy()

template<class Scalar >

static Scalar Dumux::Components::Air< Scalar >::gasEnthalpy	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

Parameters

temperature	temperature of component in \(\mathrm{[K]}\)
pressure	pressure of component in \(\mathrm{[Pa]}\)

Kays et al. (2005, 431ff) [44]

◆ gasHeatCapacity()

template<class Scalar >

static const Scalar Dumux::Components::Air< Scalar >::gasHeatCapacity	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

This methods uses the formula for "zero-pressure" heat capacity that is only dependent on temperature, because the pressure dependence is rather small. This one should be accurate for a pressure of 1 atm.

Parameters

temperature	temperature of component in \(\mathrm{[K]}\)
pressure	pressure of component in \(\mathrm{[Pa]}\)

Values taken from Hollis (1996) [39]
"Tables of Thermal Properties of Gases"

◆ gasInternalEnergy()

template<class Scalar >

static const Scalar Dumux::Components::Air< Scalar >::gasInternalEnergy	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

Definition of enthalpy: \(h= u + pv = u + p / \rho\). Rearranging for internal energy yields: \(u = h - pv\). Exploiting the Ideal Gas assumption ( \(pv = R_{\textnormal{specific}} T\)) gives: \(u = h - R / M T \).

Parameters

temperature	temperature of component in \(\mathrm{[K]}\)
pressure	pressure of component in \(\mathrm{[Pa]}\)

◆ gasIsCompressible()

template<class Scalar >

static constexpr bool Dumux::Components::Air< Scalar >::gasIsCompressible ( )

inlinestaticconstexpr

◆ gasIsIdeal()

template<class Scalar >

static constexpr bool Dumux::Components::Air< Scalar >::gasIsIdeal ( )

inlinestaticconstexpr

◆ gasMolarDensity()

template<class Scalar >

static Scalar Dumux::Components::Air< Scalar >::gasMolarDensity	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

Parameters

temperature	The temperature of the gas
pressure	The pressure of the gas

◆ gasPressure()

template<class Scalar >

static Scalar Dumux::Components::Air< Scalar >::gasPressure	(	Scalar	temperature,
		Scalar	density
	)

inlinestatic

Ideal gas is assumed.

Parameters

temperature	temperature of component in \(\mathrm{[K]}\)
density	density of component in \(\mathrm{[kg/m^3]}\)

◆ gasThermalConductivity()

template<class Scalar >

static Scalar Dumux::Components::Air< Scalar >::gasThermalConductivity	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

Isobaric Properties for Nitrogen in: NIST Standard [55]
evaluated at p=.1 MPa, T=20°C
Nitrogen: 0.025398
Oxygen: 0.026105
lambda_air is approximately 0.78*lambda_N2+0.22*lambda_O2

Parameters

temperature	absolute temperature in \(\mathrm{[K]}\)
pressure	of the phase in \(\mathrm{[Pa]}\)

◆ gasViscosity()

template<class Scalar >

static Scalar Dumux::Components::Air< Scalar >::gasViscosity	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

Simple method, already implemented in MUFTE-UG, but pretty accurate.

The pressure correction is even simpler and developed and tested by Holger Class in 2016 against the results of the Lemmon and Jacobsen (2004) approach [49] It shows very reasonable results throughout realistic pressure and temperature ranges up to several hundred Kelvin and up to 500 bar

Parameters

temperature	temperature of component in \(\mathrm{[K]}\)
pressure	pressure of component in \(\mathrm{[Pa]}\)

◆ gasViscosityIsConstant()

template<class Scalar >

static constexpr bool Dumux::Components::Air< Scalar >::gasViscosityIsConstant ( )

inlinestaticconstexpr

◆ init()

static void Dumux::Components::Base< Scalar , Air< Scalar > >::init	(	Scalar	tempMin,
		Scalar	tempMax,
		unsigned	nTemp,
		Scalar	pressMin,
		Scalar	pressMax,
		unsigned	nPress
	)

inlinestaticinherited

Parameters

tempMin	The minimum of the temperature range in \(\mathrm{[K]}\)
tempMax	The maximum of the temperature range in \(\mathrm{[K]}\)
nTemp	The number of entries/steps within the temperature range
pressMin	The minimum of the pressure range in \(\mathrm{[Pa]}\)
pressMax	The maximum of the pressure range in \(\mathrm{[Pa]}\)
nPress	The number of entries/steps within the pressure range

This function throws a warning when called: "No init routine defined - make sure that this is not necessary!"

◆ molarMass()

template<class Scalar >

static constexpr Scalar Dumux::Components::Air< Scalar >::molarMass ( )

inlinestaticconstexpr

Taken from constrelair.hh.

◆ name()

template<class Scalar >

static std::string Dumux::Components::Air< Scalar >::name ( )

inlinestatic

◆ oldGasViscosity()

template<class Scalar >

static Scalar Dumux::Components::Air< Scalar >::oldGasViscosity	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

Critical specific volume calculated by \(V_c = (R*T_c)/p_c\).

Reid et al. (1987, pp 396-397, 667) [70]
Poling et al. (2001, pp 9.7-9.8) [67]

Accentric factor taken from:
Adebiyi (2003) [4]

air is a non-polar substance, thus dipole moment mu is zero, as well the dimensionless dipole moment mu_r therefore not considered below the same holds for the correction value kappa for highly polar substances

This calculation was introduced into Dumux in 2012 although the method here is designed for general polar substances. Air, however, is (a) non-polar, and (b) there are more precise methods available

Parameters

temperature	temperature of component in \(\mathrm{[K]}\)
pressure	pressure of component in \(\mathrm{[Pa]}\)

◆ simpleGasViscosity()

template<class Scalar >

static Scalar Dumux::Components::Air< Scalar >::simpleGasViscosity	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

Simple method, already implemented in MUFTE-UG, but pretty accurate at atmospheric pressures. Gas viscosity is not very dependent on pressure. Thus, for low pressures one might switch the pressure correction off

Parameters

temperature	temperature of component in \(\mathrm{[K]}\)
pressure	pressure of component in \(\mathrm{[Pa]}\)

◆ triplePressure()

static constexpr Scalar Dumux::Components::Base< Scalar , Air< Scalar > >::triplePressure ( )

inlinestaticconstexprinherited

◆ tripleTemperature()

static constexpr Scalar Dumux::Components::Base< Scalar , Air< Scalar > >::tripleTemperature ( )

inlinestaticconstexprinherited

◆ vaporPressure()

static Scalar Dumux::Components::Base< Scalar , Air< Scalar > >::vaporPressure ( Scalar t )

inlinestaticinherited

Parameters

t	temperature of the component in \(\mathrm{[K]}\)

Member Data Documentation

◆ isTabulated

constexpr bool Dumux::Components::Base< Scalar , Air< Scalar > >::isTabulated

staticconstexprinherited

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

air.hh

Description

Public Types

Static Public Member Functions

Static Public Attributes

Member Typedef Documentation

◆ Scalar

Member Function Documentation

◆ criticalPressure()

◆ criticalTemperature()

◆ exactGasViscosity()

◆ gasDensity()

◆ gasEnthalpy()

◆ gasHeatCapacity()

◆ gasInternalEnergy()

◆ gasIsCompressible()

◆ gasIsIdeal()

◆ gasMolarDensity()

◆ gasPressure()

◆ gasThermalConductivity()

◆ gasViscosity()

◆ gasViscosityIsConstant()

◆ init()

◆ molarMass()

◆ name()

◆ oldGasViscosity()

◆ simpleGasViscosity()

◆ triplePressure()

◆ tripleTemperature()

◆ vaporPressure()

Member Data Documentation

◆ isTabulated