This class describes properties of gas mixtures. More...

#include <GasMixture.h>

Inheritance diagram for FuelCellShop::Material::GasMixture:

Collaboration diagram for FuelCellShop::Material::GasMixture:

Public Member Functions
Constructors, destructor, and initialization
	GasMixture (const std::string &name)
	Constructor. More...

virtual	~GasMixture ()
	Destructor. More...

virtual void	declare_parameters (ParameterHandler &param) const
	Declare parameters. More...

virtual void	initialize (ParameterHandler &param)
	Initialize parameters. More...

void	set_gases (const std::vector< PureGas * > &rgases)
	This function sets `gases`. More...

void	set_total_pressure (const double &rtotal_pressure)
	This function sets `total_pressure`. More...

void	set_temperature (const double &rtemperature)
	This function sets `temperature`. More...

Accessors and info
const std::vector< PureGas * > &	get_gases () const
	This function returns `gases`. More...

const double &	get_total_pressure () const
	This function returns `total_pressure`. More...

const double &	get_temperature () const
	This function returns `temperature`. More...

virtual void	print_material_properties () const
	This function prints out the material properties. More...

Service functions. Chapman Enskog isobaric diffusion coefficient. Binary gas mixture only.
const double	get_ChapmanEnskog_isobaric_diffusion_coefficient () const
	This function returns Maxwell-Stefan isobaric diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a constant temperature. More...

void	get_ChapmanEnskog_isobaric_diffusion_coefficient (std::vector< double > &diffusion_coefficient) const
	This function returns Maxwell-Stefan isobaric diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a constant temperature in the quadrature points of a mesh entity. More...

const double	get_ChapmanEnskog_isobaric_diffusion_coefficient (const double &temperature) const
	This function returns Maxwell-Stefan isobaric diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable temperature. More...

void	get_ChapmanEnskog_isobaric_diffusion_coefficient (const std::vector< double > &temperature, std::vector< double > &diffusion_coefficient) const
	This function returns Maxwell-Stefan isobaric diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable temperature in the quadrature points of a mesh entity. More...

Service functions. Derivatives of Chapman Enskog isobaric diffusion coefficient. Binary gas mixture only.
const double	get_DChapmanEnskog_isobaric_diffusion_coefficient_Dtemperature (const double &temperature) const
	This function returns the first derivative $\quad \frac{\partial D_{12}}{\partial T} \quad$ of the Maxwell-Stefan isobaric diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable temperature. More...

void	get_DChapmanEnskog_isobaric_diffusion_coefficient_Dtemperature (const std::vector< double > &temperature, std::vector< double > &dst) const
	This function returns the first derivative $\quad \frac{\partial D_{12}}{\partial T} \quad$ of the Maxwell-Stefan isobaric diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable temperature in the quadrature points of a mesh entity. More...

Service functions. Chapman Enskog diffusion coefficient. Binary gas mixture only.
const double	get_ChapmanEnskog_diffusion_coefficient () const
	This function returns Maxwell-Stefan diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a constant total pressure and temperature. More...

void	get_ChapmanEnskog_diffusion_coefficient (std::vector< double > &diffusion_coefficient) const
	This function returns Maxwell-Stefan diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a constant total pressure and temperature in the quadrature points of a mesh entity. More...

const double	get_ChapmanEnskog_diffusion_coefficient_at_constant_pressure (const double &temperature) const
	This function returns Maxwell-Stefan diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a constant total pressure and variable temperature. More...

void	get_ChapmanEnskog_diffusion_coefficient_at_constant_pressure (const std::vector< double > &temperature, std::vector< double > &diffusion_coefficient) const
	This function returns Maxwell-Stefan diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a constant total pressure and variable temperature in the quadrature points of a mesh entity. More...

const double	get_ChapmanEnskog_diffusion_coefficient_at_constant_temperature (const double &total_pressure) const
	This function returns Maxwell-Stefan diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable total pressure and constant temperature. More...

void	get_ChapmanEnskog_diffusion_coefficient_at_constant_temperature (const std::vector< double > &total_pressure, std::vector< double > &diffusion_coefficient) const
	This function returns Maxwell-Stefan diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable total pressure and constant temperature in the quadrature points of a mesh entity. More...

const double	get_ChapmanEnskog_diffusion_coefficient (const double &total_pressure, const double &temperature) const
	This function returns Maxwell-Stefan diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable total pressure and temperature. More...

void	get_ChapmanEnskog_diffusion_coefficient (const std::vector< double > &total_pressure, const std::vector< double > &temperature, std::vector< double > &diffusion_coefficient) const
	This function returns Maxwell-Stefan diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable total pressure and temperature in the quadrature points of a mesh entity. More...

Service functions. Derivatives of Chapman Enskog diffusion coefficient. Binary gas mixture only.
const double	get_DChapmanEnskog_diffusion_coefficient_Dpressure (const double &total_pressure) const
	This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{12}}{\partial p} \quad$ of the Maxwell-Stefan diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable total pressure and constant temperature. More...

void	get_DChapmanEnskog_diffusion_coefficient_Dpressure (const std::vector< double > &total_pressure, std::vector< double > &dst) const
	This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{12}}{\partial p} \quad$ of the Maxwell-Stefan diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable total pressure and constant temperature in the quadrature points of a mesh entity. More...

const double	get_DChapmanEnskog_diffusion_coefficient_Dpressure (const double &total_pressure, const double &temperature) const
	This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{12}}{\partial p} \quad$ of the Maxwell-Stefan diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable total pressure and temperature. More...

void	get_DChapmanEnskog_diffusion_coefficient_Dpressure (const std::vector< double > &total_pressure, const std::vector< double > &temperature, std::vector< double > &dst) const
	This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{12}}{\partial p} \quad$ of the Maxwell-Stefan diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable total pressure and temperature in the quadrature points of a mesh entity. More...

const double	get_DChapmanEnskog_diffusion_coefficient_Dtemperature (const double &temperature) const
	This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{12}}{\partial T} \quad$ of the Maxwell-Stefan diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a constant total pressure and variable temperature. More...

void	get_DChapmanEnskog_diffusion_coefficient_Dtemperature (const std::vector< double > &temperature, std::vector< double > &dst) const
	This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{12}}{\partial T} \quad$ of the Maxwell-Stefan diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a constant total pressure and variable temperature in the quadrature points of a mesh entity. More...

const double	get_DChapmanEnskog_diffusion_coefficient_Dtemperature (const double &total_pressure, const double &temperature) const
	This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{12}}{\partial T} \quad$ of the Maxwell-Stefan diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable total pressure and temperature. More...

void	get_DChapmanEnskog_diffusion_coefficient_Dtemperature (const std::vector< double > &total_pressure, const std::vector< double > &temperature, std::vector< double > &dst) const
	This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{12}}{\partial T} \quad$ of the Maxwell-Stefan diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable total pressure and temperature in the quadrature points of a mesh entity. More...

Service functions. Chapman Enskog isobaric diffusion coefficients. Ternary and more complicated gas mixtures.
const Table< 2, double >	get_ChapmanEnskog_isobaric_diffusion_coefficients () const
	This function returns Maxwell-Stefan isobaric diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a constant temperature. More...

void	get_ChapmanEnskog_isobaric_diffusion_coefficients (std::vector< Table< 2, double > > &diffusion_coefficients) const
	This function returns Maxwell-Stefan isobaric diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a constant temperature in the quadrature points of a mesh entity. More...

const Table< 2, double >	get_ChapmanEnskog_isobaric_diffusion_coefficients (const double &temperature) const
	This function returns Maxwell-Stefan isobaric diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable temperature. More...

void	get_ChapmanEnskog_isobaric_diffusion_coefficients (const std::vector< double > &temperature, std::vector< Table< 2, double > > &diffusion_coefficients) const
	This function returns Maxwell-Stefan isobaric diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable temperature in the quadrature points of a mesh entity. More...

Service functions. Derivatives of Chapman Enskog isobaric diffusion coefficients. Ternary and more complicated gas mixtures.
const Table< 2, double >	get_DChapmanEnskog_isobaric_diffusion_coefficients_Dtemperature (const double &temperature) const
	This function returns the first derivative $\quad \frac{\partial D_{ij}}{\partial T} \quad$ of the Maxwell-Stefan isobaric diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable temperature. More...

void	get_DChapmanEnskog_isobaric_diffusion_coefficients_Dtemperature (const std::vector< double > &temperature, std::vector< Table< 2, double > > &dst) const
	This function returns the first derivative $\quad \frac{\partial D_{ij}}{\partial T} \quad$ of the Maxwell-Stefan isobaric diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable temperature in the quadrature points of a mesh entity. More...

Service functions. Chapman Enskog diffusion coefficients. Ternary and more complicated gas mixtures.
const Table< 2, double >	get_ChapmanEnskog_diffusion_coefficients () const
	This function returns Maxwell-Stefan diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a constant total pressure and temperature. More...

void	get_ChapmanEnskog_diffusion_coefficients (std::vector< Table< 2, double > > &diffusion_coefficients) const
	This function returns Maxwell-Stefan diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a constant total pressure and temperature in the quadrature points of a mesh entity. More...

const Table< 2, double >	get_ChapmanEnskog_diffusion_coefficients_at_constant_pressure (const double &temperature) const
	This function returns Maxwell-Stefan diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a constant total pressure and variable temperature. More...

void	get_ChapmanEnskog_diffusion_coefficients_at_constant_pressure (const std::vector< double > &temperature, std::vector< Table< 2, double > > &diffusion_coefficients) const
	This function returns Maxwell-Stefan diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a constant total pressure and variable temperature in the quadrature points of a mesh entity. More...

const Table< 2, double >	get_ChapmanEnskog_diffusion_coefficients_at_constant_temperature (const double &total_pressure) const
	This function returns Maxwell-Stefan diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable total pressure and constant temperature. More...

void	get_ChapmanEnskog_diffusion_coefficients_at_constant_temperature (const std::vector< double > &total_pressure, std::vector< Table< 2, double > > &diffusion_coefficients) const
	This function returns Maxwell-Stefan diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable total pressure and constant temperature in the quadrature points of a mesh entity. More...

const Table< 2, double >	get_ChapmanEnskog_diffusion_coefficients (const double &total_pressure, const double &temperature) const
	This function returns Maxwell-Stefan diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable total pressure and temperature. More...

void	get_ChapmanEnskog_diffusion_coefficients (const std::vector< double > &total_pressure, const std::vector< double > &temperature, std::vector< Table< 2, double > > &diffusion_coefficients) const
	This function returns Maxwell-Stefan diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable total pressure and temperature in the quadrature points of a mesh entity. More...

Service functions. Derivatives of Chapman Enskog diffusion coefficients. Ternary and more complicated gas mixtures.
const Table< 2, double >	get_DChapmanEnskog_diffusion_coefficients_Dpressure (const double &total_pressure) const
	This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{ij}}{\partial p} \quad$ of the Maxwell-Stefan diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable total pressure and constant temperature. More...

void	get_DChapmanEnskog_diffusion_coefficients_Dpressure (const std::vector< double > &total_pressure, std::vector< Table< 2, double > > &dst) const
	This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{ij}}{\partial p} \quad$ of the Maxwell-Stefan diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable total pressure and constant temperature in the quadrature points of a mesh entity. More...

const Table< 2, double >	get_DChapmanEnskog_diffusion_coefficients_Dpressure (const double &total_pressure, const double &temperature) const
	This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{ij}}{\partial p} \quad$ of the Maxwell-Stefan diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable total pressure and temperature. More...

void	get_DChapmanEnskog_diffusion_coefficients_Dpressure (const std::vector< double > &total_pressure, const std::vector< double > &temperature, std::vector< Table< 2, double > > &dst) const
	This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{ij}}{\partial p} \quad$ of the Maxwell-Stefan diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable total pressure and temperature in the quadrature points of a mesh entity. More...

const Table< 2, double >	get_DChapmanEnskog_diffusion_coefficients_Dtemperature (const double &temperature) const
	This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{ij}}{\partial T} \quad$ of the Maxwell-Stefan diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a constant total pressure and variable temperature. More...

void	get_DChapmanEnskog_diffusion_coefficients_Dtemperature (const std::vector< double > &temperature, std::vector< Table< 2, double > > &dst) const
	This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{ij}}{\partial T} \quad$ of the Maxwell-Stefan diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a constant total pressure and variable temperature in the quadrature points of a mesh entity. More...

const Table< 2, double >	get_DChapmanEnskog_diffusion_coefficients_Dtemperature (const double &total_pressure, const double &temperature) const
	This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{ij}}{\partial T} \quad$ of the Maxwell-Stefan diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable total pressure and temperature. More...

void	get_DChapmanEnskog_diffusion_coefficients_Dtemperature (const std::vector< double > &total_pressure, const std::vector< double > &temperature, std::vector< Table< 2, double > > &dst) const
	This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{ij}}{\partial T} \quad$ of the Maxwell-Stefan diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable total pressure and temperature in the quadrature points of a mesh entity. More...

Service functions. Binary collision integral.
const double	get_binary_collision_integral (const unsigned int &N1=0, const unsigned int &N2=1) const
	This function returns binary collision integral at a constant temperature. More...

void	get_binary_collision_integral (std::vector< double > &binary_collision_integral, const unsigned int &N1=0, const unsigned int &N2=1) const
	This function returns binary collision integral at a constant temperature in the quadrature points of a mesh entity. More...

const double	get_binary_collision_integral (const double &temperature, const unsigned int &N1=0, const unsigned int &N2=1) const
	This function returns binary collision integral at a variable temperature. More...

void	get_binary_collision_integral (const std::vector< double > &temperature, std::vector< double > &binary_collision_integral, const unsigned int &N1=0, const unsigned int &N2=1) const
	This function returns binary collision integral at a variable temperature in the quadrature points of a mesh entity. More...

const double	get_Dbinary_collision_integral_Dtemperature (const double &temperature, const unsigned int &N1=0, const unsigned int &N2=1) const
	This function returns the first derivative $\quad \frac{\partial \Omega_{\mathscr{D}, ij}}{\partial T} \quad$ of the binary collision integral at a variable temperature. More...

void	get_Dbinary_collision_integral_Dtemperature (const std::vector< double > &temperature, std::vector< double > &dst, const unsigned int &N1=0, const unsigned int &N2=1) const
	This function returns the first derivative $\quad \frac{\partial \Omega_{\mathscr{D}, ij}}{\partial T} \quad$ of the binary collision integral at a variable temperature in the quadrature points of a mesh entity. More...

Public Member Functions inherited from FuelCellShop::Material::BaseMaterial
void	set_derivative_flags (const std::vector< VariableNames > &flags)
	Set the names of FCST solution variables with respect to which you would like to compute the derivatives of material properties. More...

const std::string &	name_material () const
	Return the name of the layer. More...

Protected Attributes
Fluid properties
std::vector< PureGas * >	gases
	This `std::vector` contains all pure gases which form the whole gas mixture of a problem at hand. More...

double	total_pressure
	Total pressure of the whole gas mixture, $p_{\text{total}} \quad \left[ \text{Pa} \right]$ . More...

double	temperature
	Temperature of the whole gas mixture, $T \quad \left[ \text{K} \right]$ . More...

Protected Attributes inherited from FuelCellShop::Material::BaseMaterial
const std::string	name
	Name of the layer. More...

std::vector< VariableNames >	derivative_flags
	Flags for derivatives: These flags are used to request derivatives of material properties. More...

Additional Inherited Members
Protected Member Functions inherited from FuelCellShop::Material::BaseMaterial
	BaseMaterial ()
	Constructor. More...

	BaseMaterial (const std::string &name)
	Constructor. More...

virtual	~BaseMaterial ()
	Destructor. More...

Detailed Description

This class describes properties of gas mixtures.

This class contains the following data:

std::vector of pointers to the PureGas objects called gases,
total pressure of the whole gas mixture called total_pressure,
temperature of the whole gas mixture called temperature.

The whole gas mixture is supposed to be isobaric if some concrete value of total_pressure is assigned by either using the set_total_pressure() function or defining it in the parameters file.

If nothing happens, then the value of total_pressure gets the DUMMY number equal 1.e300 and the whole gas mixture is treated as non-isobaric. In this case, the total pressure of the whole gas mixture is one of the solution variables.

The whole gas mixture is supposed to be isothermal if some concrete value of temperature is assigned by either using the set_temperature() function or defining it in the parameters file.

If nothing happens, then the value of temperature gets the DUMMY number equal 1.e300 and the whole gas mixture is treated as non-isothermal. In this case, the temperature of the whole gas mixture is one of the solution variables.

The following methods are used to compute the gas mixture properties:

Maxwell-Stefan isobaric diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only), $\quad \left[ \frac{\text{Pa } \text{m}^2}{\text{sec}} \right] \quad$ $D_{12} \equiv p \mathscr{D}_{12} = 1.8829 \cdot 10^{-2} \frac{\sqrt{ \left( \frac{1}{M_1} + \frac{1}{M_2} \right) T^3}}{\sigma_{12}^2 \Omega_{\mathscr{D}, 12}} \quad$ and partial derivative $\quad \frac{\partial D_{12}}{\partial T} \quad$ where the binary collision integral $\quad \Omega_{\mathscr{D}, 12} \quad$ is given by $\quad \Omega_{\mathscr{D}, 12} = \frac{A_{\text{diff}}}{\left(\frac{kT}{\epsilon_{12}}\right)^{B_{\text{diff}}}} + \frac{C_{\text{diff}}}{e^{D_{\text{diff}}\frac{kT}{\epsilon_{12}}}} + \frac{E_{\text{diff}}}{e^{F_{\text{diff}}\frac{kT}{\epsilon_{12}}}} + \frac{G_{\text{diff}}}{e^{H_{\text{diff}}\frac{kT}{\epsilon_{12}}}}$
Maxwell-Stefan diffusion coefficient of gas in gas (or vice-versa) written in the Chapman Enskog form (binary gas mixture only), $\quad \left[ \frac{\text{m}^2}{\text{sec}} \right] \quad$ $\mathscr{D}_{12} = 1.8583 \cdot 10^{-7} \frac{\sqrt{ \left( \frac{1}{M_1} + \frac{1}{M_2} \right) T^3}}{p_{\text{total}} \sigma_{12}^2 \Omega_{\mathscr{D}, 12}} \quad$ and partial derivatives $\quad \frac{\partial \mathscr{D}_{12}}{\partial T} \quad$ and $\quad \frac{\partial \mathscr{D}_{12}}{\partial p} \quad$ where the binary collision integral $\quad \Omega_{\mathscr{D}, 12} \quad$ is given above
The table $N_{\text{gases}} \times N_{\text{gases}}$ containing Maxwell-Stefan isobaric diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures), $\quad \left[ \frac{\text{Pa } \text{m}^2}{\text{sec}} \right] \quad$ $D_{ij} \equiv p \mathscr{D}_{ij} = 1.8829 \cdot 10^{-2} \frac{\sqrt{ \left( \frac{1}{M_i} + \frac{1}{M_j} \right) T^3}}{\sigma_{ij}^2 \Omega_{\mathscr{D}, ij}} \quad$ and partial derivatives $\quad \frac{\partial D_{ij}}{\partial T} \quad$ where the binary collision integral $\quad \Omega_{\mathscr{D}, ij} \quad$ is given by $\quad \Omega_{\mathscr{D}, ij} = \frac{A_{\text{diff}}}{\left(\frac{kT}{\epsilon_{ij}}\right)^{B_{\text{diff}}}} + \frac{C_{\text{diff}}}{e^{D_{\text{diff}}\frac{kT}{\epsilon_{ij}}}} + \frac{E_{\text{diff}}}{e^{F_{\text{diff}}\frac{kT}{\epsilon_{ij}}}} + \frac{G_{\text{diff}}}{e^{H_{\text{diff}}\frac{kT}{\epsilon_{ij}}}}$
The table $N_{\text{gases}} \times N_{\text{gases}}$ containing Maxwell-Stefan diffusion coefficients of gas in gas written in the Chapman Enskog form (ternary and more complicated gas mixtures), $\quad \left[ \frac{\text{m}^2}{\text{sec}} \right] \quad$ $\mathscr{D}_{ij} = 1.8583 \cdot 10^{-7} \frac{\sqrt{ \left( \frac{1}{M_i} + \frac{1}{M_j} \right) T^3}}{p_{\text{total}} \sigma_{ij}^2 \Omega_{\mathscr{D}, ij}} \quad$ and partial derivatives $\quad \frac{\partial \mathscr{D}_{ij}}{\partial T} \quad$ and $\quad \frac{\partial \mathscr{D}_{ij}}{\partial p} \quad$ where the binary collision integral $\quad \Omega_{\mathscr{D}, ij} \quad$ is given above

All those methods receive data in SI units. All those methods return the results in SI units.

For developers: please update this info appropriately if you add a new method.

Author: Valentin N. Zingan, 2013

Constructor & Destructor Documentation

FuelCellShop::Material::GasMixture::GasMixture ( const std::string & name )

Constructor.

virtual FuelCellShop::Material::GasMixture::~GasMixture ( )

virtual

Destructor.

Member Function Documentation

virtual void FuelCellShop::Material::GasMixture::declare_parameters ( ParameterHandler & param ) const

virtual

Declare parameters.

Reimplemented from FuelCellShop::Material::BaseMaterial.

const double FuelCellShop::Material::GasMixture::get_binary_collision_integral	(	const unsigned int &	N1 = `0`,
		const unsigned int &	N2 = `1`
	)		const

This function returns binary collision integral at a constant temperature.

Parameters

N1	- number of the first gas from `gases`,
N2	- number of the second gas from `gases`.

void FuelCellShop::Material::GasMixture::get_binary_collision_integral	(	std::vector< double > &	binary_collision_integral,
		const unsigned int &	N1 = `0`,
		const unsigned int &	N2 = `1`
	)		const

This function returns binary collision integral at a constant temperature in the quadrature points of a mesh entity.

Parameters

binary_collision_integral	- binary collision integral at a constant temperature in the quadrature points of a mesh entity,
N1	- number of the first gas from `gases`,
N2	- number of the second gas from `gases`.

const double FuelCellShop::Material::GasMixture::get_binary_collision_integral	(	const double &	temperature,
		const unsigned int &	N1 = `0`,
		const unsigned int &	N2 = `1`
	)		const

This function returns binary collision integral at a variable temperature.

Parameters

temperature	- temperature,
N1	- number of the first gas from `gases`,
N2	- number of the second gas from `gases`.

void FuelCellShop::Material::GasMixture::get_binary_collision_integral	(	const std::vector< double > &	temperature,
		std::vector< double > &	binary_collision_integral,
		const unsigned int &	N1 = `0`,
		const unsigned int &	N2 = `1`
	)		const

This function returns binary collision integral at a variable temperature in the quadrature points of a mesh entity.

Parameters

temperature	- temperature in the quadrature points of a mesh entity,
binary_collision_integral	- binary collision integral at a variable temperature in the quadrature points of a mesh entity,
N1	- number of the first gas from `gases`,
N2	- number of the second gas from `gases`.

const double FuelCellShop::Material::GasMixture::get_ChapmanEnskog_diffusion_coefficient ( ) const

This function returns Maxwell-Stefan diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a constant total pressure and temperature.

void FuelCellShop::Material::GasMixture::get_ChapmanEnskog_diffusion_coefficient ( std::vector< double > & diffusion_coefficient ) const

This function returns Maxwell-Stefan diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a constant total pressure and temperature in the quadrature points of a mesh entity.

Parameters

diffusion_coefficient - Chapman Enskog diffusion coefficient at a constant total pressure and temperature in the quadrature points of a mesh entity.

const double FuelCellShop::Material::GasMixture::get_ChapmanEnskog_diffusion_coefficient	(	const double &	total_pressure,
		const double &	temperature
	)		const

This function returns Maxwell-Stefan diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable total pressure and temperature.

Parameters

total_pressure	- total pressure,
temperature	- temperature.

void FuelCellShop::Material::GasMixture::get_ChapmanEnskog_diffusion_coefficient	(	const std::vector< double > &	total_pressure,
		const std::vector< double > &	temperature,
		std::vector< double > &	diffusion_coefficient
	)		const

This function returns Maxwell-Stefan diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable total pressure and temperature in the quadrature points of a mesh entity.

Parameters

total_pressure	- total pressure in the quadrature points of a mesh entity,
temperature	- temperature in the quadrature points of a mesh entity,
diffusion_coefficient	- Chapman Enskog diffusion coefficient at a variable total pressure and temperature in the quadrature points of a mesh entity.

const double FuelCellShop::Material::GasMixture::get_ChapmanEnskog_diffusion_coefficient_at_constant_pressure ( const double & temperature ) const

This function returns Maxwell-Stefan diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a constant total pressure and variable temperature.

Parameters

temperature - temperature.

void FuelCellShop::Material::GasMixture::get_ChapmanEnskog_diffusion_coefficient_at_constant_pressure	(	const std::vector< double > &	temperature,
		std::vector< double > &	diffusion_coefficient
	)		const

This function returns Maxwell-Stefan diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a constant total pressure and variable temperature in the quadrature points of a mesh entity.

Parameters

temperature	- temperature in the quadrature points of a mesh entity,
diffusion_coefficient	- Chapman Enskog diffusion coefficient at a constant total pressure and variable temperature in the quadrature points of a mesh entity.

const double FuelCellShop::Material::GasMixture::get_ChapmanEnskog_diffusion_coefficient_at_constant_temperature ( const double & total_pressure ) const

This function returns Maxwell-Stefan diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable total pressure and constant temperature.

Parameters

total_pressure - total pressure.

void FuelCellShop::Material::GasMixture::get_ChapmanEnskog_diffusion_coefficient_at_constant_temperature	(	const std::vector< double > &	total_pressure,
		std::vector< double > &	diffusion_coefficient
	)		const

This function returns Maxwell-Stefan diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable total pressure and constant temperature in the quadrature points of a mesh entity.

Parameters

total_pressure	- total pressure in the quadrature points of a mesh entity,
diffusion_coefficient	- Chapman Enskog diffusion coefficient at a variable total pressure and constant temperature in the quadrature points of a mesh entity.

const Table< 2, double > FuelCellShop::Material::GasMixture::get_ChapmanEnskog_diffusion_coefficients ( ) const

This function returns Maxwell-Stefan diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a constant total pressure and temperature.

void FuelCellShop::Material::GasMixture::get_ChapmanEnskog_diffusion_coefficients ( std::vector< Table< 2, double > > & diffusion_coefficients ) const

This function returns Maxwell-Stefan diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a constant total pressure and temperature in the quadrature points of a mesh entity.

Parameters

diffusion_coefficients - Chapman Enskog diffusion coefficients at a constant total pressure and temperature in the quadrature points of a mesh entity.

const Table< 2, double > FuelCellShop::Material::GasMixture::get_ChapmanEnskog_diffusion_coefficients	(	const double &	total_pressure,
		const double &	temperature
	)		const

This function returns Maxwell-Stefan diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable total pressure and temperature.

Parameters

total_pressure	- total pressure,
temperature	- temperature.

void FuelCellShop::Material::GasMixture::get_ChapmanEnskog_diffusion_coefficients	(	const std::vector< double > &	total_pressure,
		const std::vector< double > &	temperature,
		std::vector< Table< 2, double > > &	diffusion_coefficients
	)		const

This function returns Maxwell-Stefan diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable total pressure and temperature in the quadrature points of a mesh entity.

Parameters

total_pressure	- total pressure in the quadrature points of a mesh entity,
temperature	- temperature in the quadrature points of a mesh entity,
diffusion_coefficients	- Chapman Enskog diffusion coefficients at a variable total pressure and temperature in the quadrature points of a mesh entity.

const Table< 2, double > FuelCellShop::Material::GasMixture::get_ChapmanEnskog_diffusion_coefficients_at_constant_pressure ( const double & temperature ) const

This function returns Maxwell-Stefan diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a constant total pressure and variable temperature.

Parameters

temperature - temperature.

void FuelCellShop::Material::GasMixture::get_ChapmanEnskog_diffusion_coefficients_at_constant_pressure	(	const std::vector< double > &	temperature,
		std::vector< Table< 2, double > > &	diffusion_coefficients
	)		const

This function returns Maxwell-Stefan diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a constant total pressure and variable temperature in the quadrature points of a mesh entity.

Parameters

temperature	- temperature in the quadrature points of a mesh entity,
diffusion_coefficients	- Chapman Enskog diffusion coefficients at a constant total pressure and variable temperature in the quadrature points of a mesh entity.

const Table< 2, double > FuelCellShop::Material::GasMixture::get_ChapmanEnskog_diffusion_coefficients_at_constant_temperature ( const double & total_pressure ) const

This function returns Maxwell-Stefan diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable total pressure and constant temperature.

Parameters

total_pressure - total pressure.

void FuelCellShop::Material::GasMixture::get_ChapmanEnskog_diffusion_coefficients_at_constant_temperature	(	const std::vector< double > &	total_pressure,
		std::vector< Table< 2, double > > &	diffusion_coefficients
	)		const

This function returns Maxwell-Stefan diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable total pressure and constant temperature in the quadrature points of a mesh entity.

Parameters

total_pressure	- total pressure in the quadrature points of a mesh entity,
diffusion_coefficients	- Chapman Enskog diffusion coefficients at a variable total pressure and constant temperature in the quadrature points of a mesh entity.

const double FuelCellShop::Material::GasMixture::get_ChapmanEnskog_isobaric_diffusion_coefficient ( ) const

This function returns Maxwell-Stefan isobaric diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a constant temperature.

void FuelCellShop::Material::GasMixture::get_ChapmanEnskog_isobaric_diffusion_coefficient ( std::vector< double > & diffusion_coefficient ) const

This function returns Maxwell-Stefan isobaric diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a constant temperature in the quadrature points of a mesh entity.

Parameters

diffusion_coefficient - Chapman Enskog isobaric diffusion coefficient at a constant temperature in the quadrature points of a mesh entity.

const double FuelCellShop::Material::GasMixture::get_ChapmanEnskog_isobaric_diffusion_coefficient ( const double & temperature ) const

This function returns Maxwell-Stefan isobaric diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable temperature.

Parameters

temperature - temperature.

void FuelCellShop::Material::GasMixture::get_ChapmanEnskog_isobaric_diffusion_coefficient	(	const std::vector< double > &	temperature,
		std::vector< double > &	diffusion_coefficient
	)		const

This function returns Maxwell-Stefan isobaric diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable temperature in the quadrature points of a mesh entity.

Parameters

temperature	- temperature in the quadrature points of a mesh entity,
diffusion_coefficient	- Chapman Enskog isobaric diffusion coefficient at a variable temperature in the quadrature points of a mesh entity.

const Table< 2, double > FuelCellShop::Material::GasMixture::get_ChapmanEnskog_isobaric_diffusion_coefficients ( ) const

This function returns Maxwell-Stefan isobaric diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a constant temperature.

void FuelCellShop::Material::GasMixture::get_ChapmanEnskog_isobaric_diffusion_coefficients ( std::vector< Table< 2, double > > & diffusion_coefficients ) const

This function returns Maxwell-Stefan isobaric diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a constant temperature in the quadrature points of a mesh entity.

Parameters

diffusion_coefficients - Chapman Enskog isobaric diffusion coefficients at a constant temperature in the quadrature points of a mesh entity.

const Table< 2, double > FuelCellShop::Material::GasMixture::get_ChapmanEnskog_isobaric_diffusion_coefficients ( const double & temperature ) const

This function returns Maxwell-Stefan isobaric diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable temperature.

Parameters

temperature - temperature.

void FuelCellShop::Material::GasMixture::get_ChapmanEnskog_isobaric_diffusion_coefficients	(	const std::vector< double > &	temperature,
		std::vector< Table< 2, double > > &	diffusion_coefficients
	)		const

This function returns Maxwell-Stefan isobaric diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable temperature in the quadrature points of a mesh entity.

Parameters

temperature	- temperature in the quadrature points of a mesh entity,
diffusion_coefficients	- Chapman Enskog isobaric diffusion coefficients at a variable temperature in the quadrature points of a mesh entity.

const double FuelCellShop::Material::GasMixture::get_Dbinary_collision_integral_Dtemperature	(	const double &	temperature,
		const unsigned int &	N1 = `0`,
		const unsigned int &	N2 = `1`
	)		const

This function returns the first derivative $\quad \frac{\partial \Omega_{\mathscr{D}, ij}}{\partial T} \quad$ of the binary collision integral at a variable temperature.

Parameters

temperature	- temperature,
N1	- number of the first gas from `gases`,
N2	- number of the second gas from `gases`.

void FuelCellShop::Material::GasMixture::get_Dbinary_collision_integral_Dtemperature	(	const std::vector< double > &	temperature,
		std::vector< double > &	dst,
		const unsigned int &	N1 = `0`,
		const unsigned int &	N2 = `1`
	)		const

This function returns the first derivative $\quad \frac{\partial \Omega_{\mathscr{D}, ij}}{\partial T} \quad$ of the binary collision integral at a variable temperature in the quadrature points of a mesh entity.

Parameters

temperature	- temperature in the quadrature points of a mesh entity,
dst	- $\frac{\partial \Omega_{\mathscr{D}, ij}}{\partial T} \quad$ at a variable temperature in the quadrature points of a mesh entity,
N1	- number of the first gas from `gases`,
N2	- number of the second gas from `gases`.

const double FuelCellShop::Material::GasMixture::get_DChapmanEnskog_diffusion_coefficient_Dpressure ( const double & total_pressure ) const

This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{12}}{\partial p} \quad$ of the Maxwell-Stefan diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable total pressure and constant temperature.

Parameters

total_pressure - total pressure.

void FuelCellShop::Material::GasMixture::get_DChapmanEnskog_diffusion_coefficient_Dpressure	(	const std::vector< double > &	total_pressure,
		std::vector< double > &	dst
	)		const

This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{12}}{\partial p} \quad$ of the Maxwell-Stefan diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable total pressure and constant temperature in the quadrature points of a mesh entity.

Parameters

total_pressure	- total pressure in the quadrature points of a mesh entity,
dst	- $\frac{\partial \mathscr{D}_{12}}{\partial p} \quad$ at a variable total pressure and constant temperature in the quadrature points of a mesh entity.

const double FuelCellShop::Material::GasMixture::get_DChapmanEnskog_diffusion_coefficient_Dpressure	(	const double &	total_pressure,
		const double &	temperature
	)		const

This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{12}}{\partial p} \quad$ of the Maxwell-Stefan diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable total pressure and temperature.

Parameters

total_pressure	- total pressure,
temperature	- temperature.

void FuelCellShop::Material::GasMixture::get_DChapmanEnskog_diffusion_coefficient_Dpressure	(	const std::vector< double > &	total_pressure,
		const std::vector< double > &	temperature,
		std::vector< double > &	dst
	)		const

This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{12}}{\partial p} \quad$ of the Maxwell-Stefan diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable total pressure and temperature in the quadrature points of a mesh entity.

Parameters

total_pressure	- total pressure in the quadrature points of a mesh entity,
temperature	- temperature in the quadrature points of a mesh entity,
dst	- $\frac{\partial \mathscr{D}_{12}}{\partial p} \quad$ at a variable total pressure and temperature in the quadrature points of a mesh entity.

const double FuelCellShop::Material::GasMixture::get_DChapmanEnskog_diffusion_coefficient_Dtemperature ( const double & temperature ) const

This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{12}}{\partial T} \quad$ of the Maxwell-Stefan diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a constant total pressure and variable temperature.

Parameters

temperature - temperature.

void FuelCellShop::Material::GasMixture::get_DChapmanEnskog_diffusion_coefficient_Dtemperature	(	const std::vector< double > &	temperature,
		std::vector< double > &	dst
	)		const

This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{12}}{\partial T} \quad$ of the Maxwell-Stefan diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a constant total pressure and variable temperature in the quadrature points of a mesh entity.

Parameters

temperature	- temperature in the quadrature points of a mesh entity,
dst	- $\frac{\partial \mathscr{D}_{12}}{\partial T} \quad$ at a constant total pressure and variable temperature in the quadrature points of a mesh entity.

const double FuelCellShop::Material::GasMixture::get_DChapmanEnskog_diffusion_coefficient_Dtemperature	(	const double &	total_pressure,
		const double &	temperature
	)		const

This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{12}}{\partial T} \quad$ of the Maxwell-Stefan diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable total pressure and temperature.

Parameters

total_pressure	- total pressure,
temperature	- temperature.

void FuelCellShop::Material::GasMixture::get_DChapmanEnskog_diffusion_coefficient_Dtemperature	(	const std::vector< double > &	total_pressure,
		const std::vector< double > &	temperature,
		std::vector< double > &	dst
	)		const

This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{12}}{\partial T} \quad$ of the Maxwell-Stefan diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable total pressure and temperature in the quadrature points of a mesh entity.

Parameters

total_pressure	- total pressure in the quadrature points of a mesh entity,
temperature	- temperature in the quadrature points of a mesh entity,
dst	- $\frac{\partial \mathscr{D}_{12}}{\partial T} \quad$ at a variable total pressure and temperature in the quadrature points of a mesh entity.

const Table< 2, double > FuelCellShop::Material::GasMixture::get_DChapmanEnskog_diffusion_coefficients_Dpressure ( const double & total_pressure ) const

This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{ij}}{\partial p} \quad$ of the Maxwell-Stefan diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable total pressure and constant temperature.

Parameters

total_pressure - total pressure.

void FuelCellShop::Material::GasMixture::get_DChapmanEnskog_diffusion_coefficients_Dpressure	(	const std::vector< double > &	total_pressure,
		std::vector< Table< 2, double > > &	dst
	)		const

This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{ij}}{\partial p} \quad$ of the Maxwell-Stefan diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable total pressure and constant temperature in the quadrature points of a mesh entity.

Parameters

total_pressure	- total pressure in the quadrature points of a mesh entity,
dst	- $\frac{\partial \mathscr{D}_{ij}}{\partial p} \quad$ at a variable total pressure and constant temperature in the quadrature points of a mesh entity.

const Table< 2, double > FuelCellShop::Material::GasMixture::get_DChapmanEnskog_diffusion_coefficients_Dpressure	(	const double &	total_pressure,
		const double &	temperature
	)		const

This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{ij}}{\partial p} \quad$ of the Maxwell-Stefan diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable total pressure and temperature.

Parameters

total_pressure	- total pressure,
temperature	- temperature.

void FuelCellShop::Material::GasMixture::get_DChapmanEnskog_diffusion_coefficients_Dpressure	(	const std::vector< double > &	total_pressure,
		const std::vector< double > &	temperature,
		std::vector< Table< 2, double > > &	dst
	)		const

This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{ij}}{\partial p} \quad$ of the Maxwell-Stefan diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable total pressure and temperature in the quadrature points of a mesh entity.

Parameters

total_pressure	- total pressure in the quadrature points of a mesh entity,
temperature	- temperature in the quadrature points of a mesh entity,
dst	- $\frac{\partial \mathscr{D}_{ij}}{\partial p} \quad$ at a variable total pressure and temperature in the quadrature points of a mesh entity.

const Table< 2, double > FuelCellShop::Material::GasMixture::get_DChapmanEnskog_diffusion_coefficients_Dtemperature ( const double & temperature ) const

This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{ij}}{\partial T} \quad$ of the Maxwell-Stefan diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a constant total pressure and variable temperature.

Parameters

temperature - temperature.

void FuelCellShop::Material::GasMixture::get_DChapmanEnskog_diffusion_coefficients_Dtemperature	(	const std::vector< double > &	temperature,
		std::vector< Table< 2, double > > &	dst
	)		const

This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{ij}}{\partial T} \quad$ of the Maxwell-Stefan diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a constant total pressure and variable temperature in the quadrature points of a mesh entity.

Parameters

temperature	- temperature in the quadrature points of a mesh entity,
dst	- $\frac{\partial \mathscr{D}_{ij}}{\partial T} \quad$ at a constant total pressure and variable temperature in the quadrature points of a mesh entity.

const Table< 2, double > FuelCellShop::Material::GasMixture::get_DChapmanEnskog_diffusion_coefficients_Dtemperature	(	const double &	total_pressure,
		const double &	temperature
	)		const

This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{ij}}{\partial T} \quad$ of the Maxwell-Stefan diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable total pressure and temperature.

Parameters

total_pressure	- total pressure,
temperature	- temperature.

void FuelCellShop::Material::GasMixture::get_DChapmanEnskog_diffusion_coefficients_Dtemperature	(	const std::vector< double > &	total_pressure,
		const std::vector< double > &	temperature,
		std::vector< Table< 2, double > > &	dst
	)		const

This function returns the first derivative $\quad \frac{\partial \mathscr{D}_{ij}}{\partial T} \quad$ of the Maxwell-Stefan diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable total pressure and temperature in the quadrature points of a mesh entity.

Parameters

total_pressure	- total pressure in the quadrature points of a mesh entity,
temperature	- temperature in the quadrature points of a mesh entity,
dst	- $\frac{\partial \mathscr{D}_{ij}}{\partial T} \quad$ at a variable total pressure and temperature in the quadrature points of a mesh entity.

const double FuelCellShop::Material::GasMixture::get_DChapmanEnskog_isobaric_diffusion_coefficient_Dtemperature ( const double & temperature ) const

This function returns the first derivative $\quad \frac{\partial D_{12}}{\partial T} \quad$ of the Maxwell-Stefan isobaric diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable temperature.

Parameters

temperature - temperature.

void FuelCellShop::Material::GasMixture::get_DChapmanEnskog_isobaric_diffusion_coefficient_Dtemperature	(	const std::vector< double > &	temperature,
		std::vector< double > &	dst
	)		const

This function returns the first derivative $\quad \frac{\partial D_{12}}{\partial T} \quad$ of the Maxwell-Stefan isobaric diffusion coefficient of gas $ 1 $ in gas $ 2 $ (or vice-versa) written in the Chapman Enskog form (binary gas mixture only) at a variable temperature in the quadrature points of a mesh entity.

Parameters

temperature	- temperature in the quadrature points of a mesh entity,
dst	- $\frac{\partial D_{12}}{\partial T} \quad$ at a variable temperature in the quadrature points of a mesh entity.

const Table< 2, double > FuelCellShop::Material::GasMixture::get_DChapmanEnskog_isobaric_diffusion_coefficients_Dtemperature ( const double & temperature ) const

This function returns the first derivative $\quad \frac{\partial D_{ij}}{\partial T} \quad$ of the Maxwell-Stefan isobaric diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable temperature.

Parameters

temperature - temperature.

void FuelCellShop::Material::GasMixture::get_DChapmanEnskog_isobaric_diffusion_coefficients_Dtemperature	(	const std::vector< double > &	temperature,
		std::vector< Table< 2, double > > &	dst
	)		const

This function returns the first derivative $\quad \frac{\partial D_{ij}}{\partial T} \quad$ of the Maxwell-Stefan isobaric diffusion coefficients of gas $ i $ in gas $ j $ written in the Chapman Enskog form (ternary and more complicated gas mixtures) at a variable temperature in the quadrature points of a mesh entity.

Parameters

temperature	- temperature in the quadrature points of a mesh entity,
dst	- $\frac{\partial D_{ij}}{\partial T} \quad$ at a variable temperature in the quadrature points of a mesh entity.

const std::vector< PureGas* >& FuelCellShop::Material::GasMixture::get_gases ( ) const

inline

This function returns gases.

References gases.

const double& FuelCellShop::Material::GasMixture::get_temperature ( ) const

inline

This function returns temperature.

References temperature.

const double& FuelCellShop::Material::GasMixture::get_total_pressure ( ) const

inline

This function returns total_pressure.

References total_pressure.

virtual void FuelCellShop::Material::GasMixture::initialize ( ParameterHandler & param )

virtual

Initialize parameters.

Reimplemented from FuelCellShop::Material::BaseMaterial.

virtual void FuelCellShop::Material::GasMixture::print_material_properties ( ) const

virtual

This function prints out the material properties.

Reimplemented from FuelCellShop::Material::BaseMaterial.

void FuelCellShop::Material::GasMixture::set_gases ( const std::vector< PureGas * > & rgases )

inline

This function sets gases.

References gases.

void FuelCellShop::Material::GasMixture::set_temperature ( const double & rtemperature )

inline

This function sets temperature.

References temperature.

void FuelCellShop::Material::GasMixture::set_total_pressure ( const double & rtotal_pressure )

inline

This function sets total_pressure.

References total_pressure.

Member Data Documentation

std::vector< PureGas* > FuelCellShop::Material::GasMixture::gases

protected

This std::vector contains all pure gases which form the whole gas mixture of a problem at hand.

Referenced by get_gases(), and set_gases().

double FuelCellShop::Material::GasMixture::temperature

protected

Temperature of the whole gas mixture, $T \quad \left[ \text{K} \right]$ .

If temperature = DUMMY = 1.e300, then the whole gas mixture is supposed to be a non-isothermal mixture.

Referenced by get_temperature(), and set_temperature().

double FuelCellShop::Material::GasMixture::total_pressure

protected

Total pressure of the whole gas mixture, $p_{\text{total}} \quad \left[ \text{Pa} \right]$ .

If total_pressure = DUMMY = 1.e300, then the whole gas mixture is supposed to be a non-isobaric mixture.

Referenced by get_total_pressure(), and set_total_pressure().

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

GasMixture.h

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation