Properties of pure molecular nitrogen \(N_2\). More...

#include <dumux/material/components/n2.hh>

Inheritance diagram for Dumux::Components::N2< Scalar >:

Description

template<class Scalar>
class Dumux::Components::N2< 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 nitrogen. More...

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

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

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

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

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

static Scalar	vaporPressure (Scalar T)
	The vapor pressure in \(\mathrm{[Pa]}\) of pure molecular nitrogen at a given temperature. More...

static Scalar	gasDensity (Scalar temperature, Scalar pressure)
	The density \(\mathrm{[kg/m^3]}\) of \(N_2\) gas at a given pressure and temperature. More...

static Scalar	gasMolarDensity (Scalar temperature, Scalar pressure)
	The molar density of \(N_2\) gas in \(\mathrm{[mol/m^3]}\) at a given pressure and temperature. More...

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

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

static Scalar	gasPressure (Scalar temperature, Scalar density)
	The pressure of gaseous \(N_2\) in \(\mathrm{[Pa]}\) at a given density and temperature. More...

static const Scalar	gasEnthalpy (Scalar temperature, Scalar pressure)
	Specific enthalpy \(\mathrm{[J/kg]}\) of pure nitrogen gas. Shomate Equation is used for a temperature range of 100K to 6000K. More...

static const Scalar	gasInternalEnergy (Scalar temperature, Scalar pressure)
	Specific enthalpy \(\mathrm{[J/kg]}\) of pure nitrogen gas. More...

static const Scalar	gasHeatCapacity (Scalar T, Scalar pressure)
	Specific isobaric heat capacity \(\mathrm{[J/(kg*K)]}\) of pure nitrogen gas. Shomate Equation is used for a temperature range of 100K to 6000K. More...

static Scalar	gasViscosity (Scalar temperature, Scalar pressure)
	The dynamic viscosity \(\mathrm{[Pa*s]}\) of \(N_2\) at a given pressure and temperature. More...

static Scalar	gasThermalConductivity (Scalar temperature, Scalar pressure)
	Thermal conductivity \(\mathrm{[[W/(m*K)]}\) of nitrogen. 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 bool	gasViscosityIsConstant ()
	Returns true if the gas phase viscostiy is constant. More...

Static Public Attributes
static const ShomateMethod	shomateMethod
	Shomate parameters for nitrogen published by NIST [57] https://webbook.nist.gov/cgi/cbook.cgi?ID=C7727379&Units=SI&Mask=1&Type=JANAFG&Table=on#JANAFG First row defines the temperature ranges, further rows give the parameters (A,B,C,D,E,F,G,H) for the respective temperature ranges. More...

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

Member Typedef Documentation

◆ Scalar

using Dumux::Components::Base< Scalar , N2< Scalar > >::Scalar = Scalar

inherited

Member Function Documentation

◆ criticalPressure()

template<class Scalar >

static Scalar Dumux::Components::N2< Scalar >::criticalPressure ( )

inlinestatic

◆ criticalTemperature()

template<class Scalar >

static Scalar Dumux::Components::N2< Scalar >::criticalTemperature ( )

inlinestatic

◆ gasDensity()

template<class Scalar >

static Scalar Dumux::Components::N2< Scalar >::gasDensity	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

Parameters

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

◆ gasEnthalpy()

template<class Scalar >

static const Scalar Dumux::Components::N2< Scalar >::gasEnthalpy	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

Parameters

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

◆ gasHeatCapacity()

template<class Scalar >

static const Scalar Dumux::Components::N2< Scalar >::gasHeatCapacity	(	Scalar	T,
		Scalar	pressure
	)

inlinestatic

◆ gasInternalEnergy()

template<class Scalar >

static const Scalar Dumux::Components::N2< Scalar >::gasInternalEnergy	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

   Definition of enthalpy: \f$h= u + pv = u + p / \rho\f$.

   Rearranging for internal energy yields: \f$u = h - pv\f$.

   Exploiting the Ideal Gas assumption (\f$pv = R_{\textnormal{specific}} T\f$)gives: \f$u = h - R / M T \f$.

   The universal gas constant can only be used in the case of molar formulations.

Parameters

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

◆ gasIsCompressible()

template<class Scalar >

static constexpr bool Dumux::Components::N2< Scalar >::gasIsCompressible ( )

inlinestaticconstexpr

◆ gasIsIdeal()

template<class Scalar >

static constexpr bool Dumux::Components::N2< Scalar >::gasIsIdeal ( )

inlinestaticconstexpr

◆ gasMolarDensity()

template<class Scalar >

static Scalar Dumux::Components::N2< Scalar >::gasMolarDensity	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

Parameters

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

◆ gasPressure()

template<class Scalar >

static Scalar Dumux::Components::N2< Scalar >::gasPressure	(	Scalar	temperature,
		Scalar	density
	)

inlinestatic

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::N2< Scalar >::gasThermalConductivity	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

Isobaric Properties for Nitrogen and Oxygen in: NIST Standard Reference Database Number 69, Eds. P.J. Linstrom and W.G. Mallard evaluated at p=.1 MPa, does not change dramatically with p and can be interpolated linearly with temperature

Parameters

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

◆ gasViscosity()

template<class Scalar >

static Scalar Dumux::Components::N2< Scalar >::gasViscosity	(	Scalar	temperature,
		Scalar	pressure
	)

inlinestatic

Parameters

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

See:

See: R. Reid, et al.: The Properties of Gases and Liquids, 4th edition (1987, pp 396-397) [72]
5th edition (2001, pp 9.7-9.8 (omega and V_c taken from p. A.19)) [69]

◆ gasViscosityIsConstant()

static constexpr bool Dumux::Components::Gas< Scalar, N2< Scalar > >::gasViscosityIsConstant ( )

inlinestaticconstexprinherited

◆ init()

static void Dumux::Components::Base< Scalar , N2< 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::N2< Scalar >::molarMass ( )

inlinestaticconstexpr

◆ name()

template<class Scalar >

static std::string Dumux::Components::N2< Scalar >::name ( )

inlinestatic

◆ triplePressure()

template<class Scalar >

static Scalar Dumux::Components::N2< Scalar >::triplePressure ( )

inlinestatic

◆ tripleTemperature()

template<class Scalar >

static Scalar Dumux::Components::N2< Scalar >::tripleTemperature ( )

inlinestatic

◆ vaporPressure()

template<class Scalar >

static Scalar Dumux::Components::N2< Scalar >::vaporPressure ( Scalar T )

inlinestatic

Parameters

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

Taken from:

R. Span, E.W. Lemmon, et al. (2000 ,pp. 1361-1433) [80]

Member Data Documentation

◆ isTabulated

constexpr bool Dumux::Components::Base< Scalar , N2< Scalar > >::isTabulated

staticconstexprinherited

◆ shomateMethod

template<class Scalar >

const N2< Scalar >::ShomateMethod Dumux::Components::N2< Scalar >::shomateMethod

static

Initial value:

{
    {100.0,500.0,2000.0,6000.0},
    typename N2<Scalar>::ShomateMethod::Coefficients{{
        {28.98641, 1.853978, -9.647459, 16.63537, 0.000117, -8.671914, 226.4168, 0.0},
        {19.50583, 19.88705, -8.598535, 1.369784, 0.527601, -4.935202, 212.39, 0.0},
        {35.51872, 1.128728, -0.196103, 0.014662, -4.55376, -18.97091, 224.981, 0.0}
    }}
}

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

n2.hh

Description

Public Types

Static Public Member Functions

Static Public Attributes

Member Typedef Documentation

◆ Scalar

Member Function Documentation

◆ criticalPressure()

◆ criticalTemperature()

◆ gasDensity()

◆ gasEnthalpy()

◆ gasHeatCapacity()

◆ gasInternalEnergy()

◆ gasIsCompressible()

◆ gasIsIdeal()

◆ gasMolarDensity()

◆ gasPressure()

◆ gasThermalConductivity()

◆ gasViscosity()

◆ gasViscosityIsConstant()

◆ init()

◆ molarMass()

◆ name()

◆ triplePressure()

◆ tripleTemperature()

◆ vaporPressure()

Member Data Documentation

◆ isTabulated

◆ shomateMethod