Class DustyGasTransport implements the Dusty Gas model for transport in porous media. More...

#include <DustyGasTransport.h>

Inheritance diagram for DustyGasTransport:

Collaboration diagram for DustyGasTransport:

Public Member Functions
	DustyGasTransport (thermo_t *thermo=0)
	default constructor More...

	DustyGasTransport (const DustyGasTransport &right)

DustyGasTransport &	operator= (const DustyGasTransport &right)
	Assignment operator. More...

virtual Transport *	duplMyselfAsTransport () const
	Duplication routine for objects which inherit from Transport. More...

virtual void	setThermo (thermo_t &thermo)
	Specifies the ThermoPhase object. More...

virtual int	model () const
	Transport model. More...

virtual void	setParameters (const int type, const int k, const doublereal *const p)
	Set the Parameters in the model. More...

virtual void	getMultiDiffCoeffs (const size_t ld, doublereal *const d)
	Return the Multicomponent diffusion coefficients. Units: [m^2/s]. More...

virtual void	getMolarFluxes (const doublereal const state1, const doublereal const state2, const doublereal delta, doublereal *const fluxes)
	Get the molar fluxes [kmol/m^2/s], given the thermodynamic state at two nearby points. More...

void	setPorosity (doublereal porosity)
	Set the porosity (dimensionless) More...

void	setTortuosity (doublereal tort)
	Set the tortuosity (dimensionless) More...

void	setMeanPoreRadius (doublereal rbar)
	Set the mean pore radius (m) More...

void	setMeanParticleDiameter (doublereal dbar)
	Set the mean particle diameter. More...

void	setPermeability (doublereal B)
	Set the permeability of the media. More...

Transport &	gasTransport ()
	Return a reference to the transport manager used to compute the gas binary diffusion coefficients and the viscosity. More...

Public Member Functions inherited from Transport
	Transport (thermo_t *thermo=0, size_t ndim=1)
	Constructor. More...

	Transport (const Transport &right)

Transport &	operator= (const Transport &right)

thermo_t &	thermo ()

bool	ready ()

void	setNDim (const int ndim)
	Set the number of dimensions to be expected in flux expressions. More...

size_t	nDim () const
	Return the number of dimensions in flux expressions. More...

void	checkSpeciesIndex (size_t k) const
	Check that the specified species index is in range Throws an exception if k is greater than nSpecies() More...

void	checkSpeciesArraySize (size_t kk) const
	Check that an array size is at least nSpecies() Throws an exception if kk is less than nSpecies(). More...

virtual doublereal	getElectricConduct ()
	Compute the mixture electrical conductivity (S m-1) at the current conditions of the phase (Siemens m-1) More...

virtual void	getElectricCurrent (int ndim, const doublereal grad_T, int ldx, const doublereal grad_X, int ldf, const doublereal grad_V, doublereal current)
	Compute the electric current density in A/m^2. More...

virtual void	getSpeciesFluxes (size_t ndim, const doublereal const grad_T, size_t ldx, const doublereal const grad_X, size_t ldf, doublereal *const fluxes)
	Get the species diffusive mass fluxes wrt to the specified solution averaged velocity, given the gradients in mole fraction and temperature. More...

virtual void	getSpeciesFluxesES (size_t ndim, const doublereal grad_T, size_t ldx, const doublereal grad_X, size_t ldf, const doublereal grad_Phi, doublereal fluxes)
	Get the species diffusive mass fluxes wrt to the mass averaged velocity, given the gradients in mole fraction, temperature and electrostatic potential. More...

virtual void	getSpeciesVdiff (size_t ndim, const doublereal grad_T, int ldx, const doublereal grad_X, int ldf, doublereal *Vdiff)
	Get the species diffusive velocities wrt to the mass averaged velocity, given the gradients in mole fraction and temperature. More...

virtual void	getSpeciesVdiffES (size_t ndim, const doublereal grad_T, int ldx, const doublereal grad_X, int ldf, const doublereal grad_Phi, doublereal Vdiff)
	Get the species diffusive velocities wrt to the mass averaged velocity, given the gradients in mole fraction, temperature, and electrostatic potential. More...

virtual void	getMassFluxes (const doublereal state1, const doublereal state2, doublereal delta, doublereal *mfluxes)
	Get the mass fluxes [kg/m^2/s], given the thermodynamic state at two nearby points. More...

virtual void	getThermalDiffCoeffs (doublereal *const dt)
	Return a vector of Thermal diffusion coefficients [kg/m/sec]. More...

virtual void	getBinaryDiffCoeffs (const size_t ld, doublereal *const d)
	Returns the matrix of binary diffusion coefficients [m^2/s]. More...

virtual void	getMixDiffCoeffs (doublereal *const d)
	Returns a vector of mixture averaged diffusion coefficients. More...

virtual void	getMixDiffCoeffsMole (doublereal *const d)
	Returns a vector of mixture averaged diffusion coefficients. More...

virtual void	getMixDiffCoeffsMass (doublereal *const d)
	Returns a vector of mixture averaged diffusion coefficients. More...

void	setVelocityBasis (VelocityBasis ivb)
	Sets the velocity basis. More...

VelocityBasis	getVelocityBasis () const
	Gets the velocity basis. More...

virtual doublereal	viscosity ()

virtual void	getSpeciesViscosities (doublereal *const visc)
	Returns the pure species viscosities. More...

virtual doublereal	bulkViscosity ()
	The bulk viscosity in Pa-s. More...

virtual doublereal	ionConductivity ()
	The ionic conductivity in 1/ohm/m. More...

virtual void	getSpeciesIonConductivity (doublereal *const ionCond)
	Returns the pure species ionic conductivity. More...

virtual void	mobilityRatio (double *mobRat)
	Returns the pointer to the mobility ratios of the species in the phase. More...

virtual void	getSpeciesMobilityRatio (double **mobRat)
	Returns the pure species limit of the mobility ratios. More...

virtual void	selfDiffusion (doublereal *const selfDiff)
	Returns the self diffusion coefficients of the species in the phase. More...

virtual void	getSpeciesSelfDiffusion (double **selfDiff)
	Returns the pure species self diffusion in solution of each species. More...

virtual doublereal	thermalConductivity ()
	Returns the mixture thermal conductivity in W/m/K. More...

virtual doublereal	electricalConductivity ()

virtual void	getMobilities (doublereal *const mobil_e)
	Get the Electrical mobilities (m^2/V/s). More...

virtual void	getFluidMobilities (doublereal *const mobil_f)
	Get the fluid mobilities (s kmol/kg). More...

virtual bool	initSolid (SolidTransportData &tr)
	Called by TransportFactory to set parameters. More...

Protected Member Functions
void	initialize (ThermoPhase phase, Transport gastr)
	Initialization routine called by TransportFactory. More...

Protected Member Functions inherited from Transport
virtual bool	initGas (GasTransportParams &tr)
	Called by TransportFactory to set parameters. More...

virtual bool	initLiquid (LiquidTransportParams &tr)
	Called by TransportFactory to set parameters. More...

void	finalize ()
	Enable the transport object for use. More...

Private Member Functions
void	updateTransport_T ()
	Update temperature-dependent quantities within the object. More...

void	updateTransport_C ()
	Update concentration-dependent quantities within the object. More...

void	updateBinaryDiffCoeffs ()
	Private routine to update the dusty gas binary diffusion coefficients. More...

void	updateMultiDiffCoeffs ()
	Update the Multicomponent diffusion coefficients that are used in the approximation. More...

void	updateKnudsenDiffCoeffs ()
	Update the Knudsen diffusion coefficients. More...

void	eval_H_matrix ()
	Calculate the H matrix. More...

Private Attributes
vector_fp	m_mw
	Local copy of the species molecular weights. More...

DenseMatrix	m_d
	binary diffusion coefficients More...

vector_fp	m_x
	mole fractions More...

vector_fp	m_dk
	Knudsen diffusion coefficients. More...

doublereal	m_temp
	temperature More...

DenseMatrix	m_multidiff
	Multicomponent diffusion coefficients. More...

vector_fp	m_spwork
	work space of size m_nsp; More...

vector_fp	m_spwork2
	work space of size m_nsp; More...

doublereal	m_gradP
	Pressure Gradient. More...

bool	m_knudsen_ok
	Update-to-date variable for Knudsen diffusion coefficients. More...

bool	m_bulk_ok
	Update-to-date variable for Binary diffusion coefficients. More...

doublereal	m_porosity
	Porosity. More...

doublereal	m_tortuosity
	Tortuosity. More...

doublereal	m_pore_radius
	Pore radius (meter) More...

doublereal	m_diam
	Particle diameter. More...

doublereal	m_perm
	Permeability of the media. More...

Transport *	m_gastran
	Pointer to the transport object for the gas phase. More...

Friends
class	TransportFactory
	Make the TransportFactory object a friend, because this object has restricted its instantiation to classes which are friends. More...

Additional Inherited Members
Protected Attributes inherited from Transport
thermo_t *	m_thermo
	pointer to the object representing the phase More...

bool	m_ready
	true if finalize has been called More...

size_t	m_nsp
	Number of species. More...

size_t	m_nDim
	Number of dimensions used in flux expressions. More...

int	m_velocityBasis
	Velocity basis from which diffusion velocities are computed. More...

Detailed Description

Class DustyGasTransport implements the Dusty Gas model for transport in porous media.

As implemented here, only species transport is handled. The viscosity, thermal conductivity, and thermal diffusion coefficients are not implemented.

The dusty gas model includes the effects of Darcy's law. There is a net flux of species due to a pressure gradient that is part of Darcy's law.

The dusty gas model expresses the value of the molar flux of species \( k \), \( J_k \) by the following formula.

\[ \sum_{j \ne k}{\frac{X_j J_k - X_k J_j}{D^e_{kj}}} + \frac{J_k}{\mathcal{D}^{e}_{k,knud}} = - \nabla C_k - \frac{C_k}{\mathcal{D}^{e}_{k,knud}} \frac{\kappa}{\mu} \nabla p \]

\( j \) is a sum over all species in the gas.

The effective Knudsen diffusion coefficients are given by the following form

\[ \mathcal{D}^e_{k,knud} = \frac{2}{3} \frac{r_{pore} \phi}{\tau} \left( \frac{8 R T}{\pi W_k} \right)^{1/2} \]

The effective knudsen diffusion coefficients take into account the effects of collisions of gas-phase molecules with the wall.

References for the Dusty Gas Model

(1) H. Zhu, R. J. Kee, "Modeling Electrochemical Impedance Spectra in SOFC Button Cells with Internal Methane Reforming," J. Electrochem. Soc., 153(9) A1765-1772 (2006).

(2) H. Zhu, R. J. Kee, V. M. Janardhanan, O. Deutschmann, D. G. Goodwin, J. Electrochem. Soc., 152, A2427 (2005).

(3) E. A. Mason, A. P. Malinauskas," Gas Transport in Porous Media: the Dusty-Gas Model", American Elsevier, New York (1983).

(4) J. W. Veldsink, R. M. J. van Damme, G. F. Versteeg, W. P. M. van Swaaij, "The use of the dusty gas model for the description of mass transport with chemical reaction in porous media," Chemical Engineering Journal, 57, 115 - 125 (1995).

Definition at line 62 of file DustyGasTransport.h.

Constructor & Destructor Documentation

DustyGasTransport ( thermo_t * thermo = 0 )

default constructor

Parameters

thermo Pointer to the ThermoPhase object for this phase. Defaults to zero.

Definition at line 19 of file DustyGasTransport.cpp.

Referenced by DustyGasTransport::duplMyselfAsTransport().

Member Function Documentation

DustyGasTransport & operator= ( const DustyGasTransport & right )

Assignment operator.

Warning -> Shallow pointer copies are made of m_thermo and m_gastran.. gastran may not point to the correct object after this copy. The routine initialize() must be called after this routine to complete the copy.

Parameters

right Reference to DustyGasTransport object to be copied into the current one.

Definition at line 60 of file DustyGasTransport.cpp.

Transport * duplMyselfAsTransport ( ) const

virtual

Duplication routine for objects which inherit from Transport.

This virtual routine can be used to duplicate objects derived from Transport even if the application only has a pointer to Transport to work with.

These routines are basically wrappers around the derived copy constructor.

Reimplemented from Transport.

Definition at line 98 of file DustyGasTransport.cpp.

References DustyGasTransport::DustyGasTransport().

Referenced by DustyGasTransport::operator=().

void setThermo ( thermo_t & thermo )

virtual

Specifies the ThermoPhase object.

We have relaxed this operation so that it will succeed when the underlying old and new ThermoPhase objects have the same number of species and the same names of the species in the same order. The idea here is to allow copy constructors and duplicators to work. In order for them to work, we need a method to switch the internal pointer within the Transport object after the duplication takes place. Also, different thermodynamic instanteations of the same species should also work.

Parameters

thermo Reference to the ThermoPhase object that the transport object will use

Reimplemented from Transport.

Definition at line 104 of file DustyGasTransport.cpp.

References DustyGasTransport::m_gastran, and Transport::setThermo().

virtual int model ( ) const

inlinevirtual

Transport model.

The transport model is the set of equations used to compute the transport properties. This method returns an integer flag that identifies the transport model implemented. The base class returns 0.

Reimplemented from Transport.

Definition at line 92 of file DustyGasTransport.h.

void setParameters	(	const int	type,
		const int	k,
		const doublereal *const	p
	)

virtual

Set the Parameters in the model.

Parameters

type	Type of the parameter to set 0 - porosity 1 - tortuosity 2 - mean pore radius 3 - mean particle radius 4 - permeability
k	Unused int
p	pointer to double for the input list of parameters

Deprecated:: Use the individual methods setPorosity(), setTortuosity(), setMeanPoreRadius(), setMeanParticleDiameter(), and setPermeability()

Reimplemented from Transport.

Definition at line 111 of file DustyGasTransport.cpp.

References DustyGasTransport::setMeanParticleDiameter(), DustyGasTransport::setMeanPoreRadius(), DustyGasTransport::setPermeability(), DustyGasTransport::setPorosity(), DustyGasTransport::setTortuosity(), and Cantera::warn_deprecated().

void getMultiDiffCoeffs	(	const size_t	ld,
		doublereal *const	d
	)

virtual

Return the Multicomponent diffusion coefficients. Units: [m^2/s].

Returns the array of multicomponent diffusion coefficients.

Parameters

ld	The dimension of the inner loop of d (usually equal to m_nsp)
d	flat vector of diffusion coefficients, fortran ordering. d[ld*j+i] is the D_ij diffusion coefficient (the diffusion coefficient for species i due to species j).

Reimplemented from Transport.

Definition at line 300 of file DustyGasTransport.cpp.

References DustyGasTransport::m_multidiff, Transport::m_nsp, and DustyGasTransport::updateMultiDiffCoeffs().

void getMolarFluxes	(	const doublereal *const	state1,
		const doublereal *const	state2,
		const doublereal	delta,
		doublereal *const	fluxes
	)

virtual

Get the molar fluxes [kmol/m^2/s], given the thermodynamic state at two nearby points.

\[ J_k = - \sum_{j = 1, N} \left[D^{multi}_{kj}\right]^{-1} \left( \nabla C_j + \frac{C_j}{\mathcal{D}^{knud}_j} \frac{\kappa}{\mu} \nabla p \right) \]

Parameters

state1	Array of temperature, density, and mass fractions for state 1.
state2	Array of temperature, density, and mass fractions for state 2.
delta	Distance from state 1 to state 2 (m).
fluxes	Vector of species molar fluxes due to diffusional driving force

Reimplemented from Transport.

Definition at line 219 of file DustyGasTransport.cpp.

void setPorosity ( doublereal porosity )

Set the porosity (dimensionless)

Parameters

porosity Set the value of the porosity

Definition at line 333 of file DustyGasTransport.cpp.

References DustyGasTransport::m_bulk_ok, DustyGasTransport::m_knudsen_ok, and DustyGasTransport::m_porosity.

Referenced by DustyGasTransport::setParameters().

void setTortuosity ( doublereal tort )

Set the tortuosity (dimensionless)

Tortuosity is considered to be constant within the object

Parameters

tort	Value of the tortuosity

Definition at line 340 of file DustyGasTransport.cpp.

References DustyGasTransport::m_bulk_ok, DustyGasTransport::m_knudsen_ok, and DustyGasTransport::m_tortuosity.

Referenced by DustyGasTransport::setParameters().

void setMeanPoreRadius ( doublereal rbar )

Set the mean pore radius (m)

Parameters

rbar	Value of the pore radius ( m)

Definition at line 347 of file DustyGasTransport.cpp.

References DustyGasTransport::m_knudsen_ok, and DustyGasTransport::m_pore_radius.

Referenced by DustyGasTransport::setParameters().

void setMeanParticleDiameter ( doublereal dbar )

Set the mean particle diameter.

Parameters

dbar	Set the mean particle diameter (m)

Definition at line 353 of file DustyGasTransport.cpp.

References DustyGasTransport::m_diam.

Referenced by DustyGasTransport::setParameters().

void setPermeability ( doublereal B )

Set the permeability of the media.

If not set, the value for close-packed spheres will be used by default.

The value for close-packed spheres is given below, where p is the porosity, t is the tortuosity, and d is the diameter of the sphere

\[ \kappa = \frac{p^3 d^2}{72 t (1 - p)^2} \]

Parameters

B	set the permeability of the media (units = m^2)

Definition at line 358 of file DustyGasTransport.cpp.

References DustyGasTransport::m_perm.

Referenced by DustyGasTransport::setParameters().

Transport & gasTransport ( )

Return a reference to the transport manager used to compute the gas binary diffusion coefficients and the viscosity.

Returns: Returns a reference to the gas transport object

Definition at line 363 of file DustyGasTransport.cpp.

References DustyGasTransport::m_gastran.

void initialize	(	ThermoPhase *	phase,
		Transport *	gastr
	)

protected

Initialization routine called by TransportFactory.

The DustyGas model is a subordinate model to the gas phase transport model. Here we set the gas phase models.

This is a protected routine, so that initialization of the Model must occur within Cantera's setup

Parameters

phase	Pointer to the underlying ThermoPhase model for the gas phase
gastr	Pointer to the underlying Transport model for transport in the gas phase.

Definition at line 135 of file DustyGasTransport.cpp.

References DATA_PTR, Phase::getMoleFractions(), DustyGasTransport::m_bulk_ok, DustyGasTransport::m_d, DustyGasTransport::m_dk, DustyGasTransport::m_gastran, DustyGasTransport::m_knudsen_ok, DustyGasTransport::m_multidiff, DustyGasTransport::m_mw, Transport::m_nsp, DustyGasTransport::m_spwork, DustyGasTransport::m_spwork2, Transport::m_thermo, DustyGasTransport::m_x, Phase::molecularWeights(), Phase::nSpecies(), and DenseMatrix::resize().

Referenced by TransportFactory::newTransport().

void updateTransport_T ( )

private

Update temperature-dependent quantities within the object.

The object keeps a value m_temp, which is the temperature at which quantities were last evaluated at. If the temperature is changed, update Booleans are set false, triggering recomputation.

Definition at line 310 of file DustyGasTransport.cpp.

References DustyGasTransport::m_bulk_ok, DustyGasTransport::m_knudsen_ok, DustyGasTransport::m_temp, Transport::m_thermo, and Phase::temperature().

Referenced by DustyGasTransport::updateMultiDiffCoeffs().

void updateTransport_C ( )

private

Update concentration-dependent quantities within the object.

The object keeps a value m_temp, which is the temperature at which quantities were last evaluated at. If the temperature is changed, update Booleans are set false, triggering recomputation.

Definition at line 320 of file DustyGasTransport.cpp.

References DATA_PTR, Phase::getMoleFractions(), DustyGasTransport::m_bulk_ok, Transport::m_nsp, Transport::m_thermo, DustyGasTransport::m_x, and Cantera::Tiny.

Referenced by DustyGasTransport::updateMultiDiffCoeffs().

void updateBinaryDiffCoeffs ( )

private

Private routine to update the dusty gas binary diffusion coefficients.

The dusty gas binary diffusion coefficients \( D^{dg}_{i,j} \) are evaluated from the binary gas-phase diffusion coefficients \( D^{bin}_{i,j} \) using the following formula

\[ D^{dg}_{i,j} = \frac{\phi}{\tau} D^{bin}_{i,j} \]

where \( \phi \) is the porosity of the media and \( \tau \) is the tortuosity of the media.

Definition at line 165 of file DustyGasTransport.cpp.

References Transport::getBinaryDiffCoeffs(), DustyGasTransport::m_bulk_ok, DustyGasTransport::m_d, DustyGasTransport::m_gastran, Transport::m_nsp, DustyGasTransport::m_porosity, DustyGasTransport::m_tortuosity, and Array2D::ptrColumn().

Referenced by DustyGasTransport::eval_H_matrix().

void updateMultiDiffCoeffs ( )

private

Update the Multicomponent diffusion coefficients that are used in the approximation.

This routine updates the H matrix and then inverts it.

Definition at line 281 of file DustyGasTransport.cpp.

References DustyGasTransport::eval_H_matrix(), Cantera::int2str(), Cantera::invert(), DustyGasTransport::m_multidiff, DustyGasTransport::updateTransport_C(), and DustyGasTransport::updateTransport_T().

Referenced by DustyGasTransport::getMolarFluxes(), and DustyGasTransport::getMultiDiffCoeffs().

void updateKnudsenDiffCoeffs ( )

private

Update the Knudsen diffusion coefficients.

The Knudsen diffusion coefficients are given by the following form

\[ \mathcal{D}^{knud}_k = \frac{2}{3} \frac{r_{pore} \phi}{\tau} \left( \frac{8 R T}{\pi W_k} \right)^{1/2} \]

Definition at line 182 of file DustyGasTransport.cpp.

References Cantera::GasConstant, DustyGasTransport::m_dk, DustyGasTransport::m_knudsen_ok, DustyGasTransport::m_mw, Transport::m_nsp, DustyGasTransport::m_pore_radius, DustyGasTransport::m_porosity, DustyGasTransport::m_temp, DustyGasTransport::m_tortuosity, and Cantera::Pi.

Referenced by DustyGasTransport::eval_H_matrix().

void eval_H_matrix ( )

private

Calculate the H matrix.

The multicomponent diffusion H matrix \( H_{k,l} \) is given by the following form

\[ H_{k,l} = - \frac{X_k}{D_{k,l}} \]

\[ H_{k,k} = \frac{1}{\mathcal(D)^{knud}_{k}} + \sum_{j \ne k}^N{ \frac{X_j}{D_{k,j}} } \]

Definition at line 196 of file DustyGasTransport.cpp.

References DustyGasTransport::m_d, DustyGasTransport::m_dk, DustyGasTransport::m_multidiff, Transport::m_nsp, DustyGasTransport::m_x, DustyGasTransport::updateBinaryDiffCoeffs(), and DustyGasTransport::updateKnudsenDiffCoeffs().

Referenced by DustyGasTransport::updateMultiDiffCoeffs().

Friends And Related Function Documentation

friend class TransportFactory

friend

Make the TransportFactory object a friend, because this object has restricted its instantiation to classes which are friends.

Definition at line 192 of file DustyGasTransport.h.

Member Data Documentation

vector_fp m_mw

private

Local copy of the species molecular weights.

units kg /kmol length = m_nsp;

Definition at line 276 of file DustyGasTransport.h.

Referenced by DustyGasTransport::getMolarFluxes(), DustyGasTransport::initialize(), DustyGasTransport::operator=(), and DustyGasTransport::updateKnudsenDiffCoeffs().

DenseMatrix m_d

private

binary diffusion coefficients

Definition at line 279 of file DustyGasTransport.h.

Referenced by DustyGasTransport::eval_H_matrix(), DustyGasTransport::initialize(), DustyGasTransport::operator=(), and DustyGasTransport::updateBinaryDiffCoeffs().

vector_fp m_x

private

mole fractions

Definition at line 282 of file DustyGasTransport.h.

Referenced by DustyGasTransport::eval_H_matrix(), DustyGasTransport::initialize(), DustyGasTransport::operator=(), and DustyGasTransport::updateTransport_C().

vector_fp m_dk

private

Knudsen diffusion coefficients.

The Knudsen diffusion coefficients are given by the following form

\[ \mathcal{D}^{knud}_k = \frac{2}{3} \frac{r_{pore} \phi}{\tau} \left( \frac{8 R T}{\pi W_k} \right)^{1/2} \]

Definition at line 292 of file DustyGasTransport.h.

Referenced by DustyGasTransport::eval_H_matrix(), DustyGasTransport::getMolarFluxes(), DustyGasTransport::initialize(), DustyGasTransport::operator=(), and DustyGasTransport::updateKnudsenDiffCoeffs().

doublereal m_temp

private

temperature

Definition at line 295 of file DustyGasTransport.h.

Referenced by DustyGasTransport::operator=(), DustyGasTransport::updateKnudsenDiffCoeffs(), and DustyGasTransport::updateTransport_T().

DenseMatrix m_multidiff

private

Multicomponent diffusion coefficients.

The multicomponent diffusion matrix \( H_{k,l} \) is given by the following form

\[ H_{k,l} = - \frac{X_k}{D_{k,l}} \]

\[ H_{k,k} = \frac{1}{\mathcal(D)^{knud}_{k}} + \sum_{j \ne k}^N{ \frac{X_j}{D_{k,j}} } \]

Definition at line 308 of file DustyGasTransport.h.

Referenced by DustyGasTransport::eval_H_matrix(), DustyGasTransport::getMolarFluxes(), DustyGasTransport::getMultiDiffCoeffs(), DustyGasTransport::initialize(), DustyGasTransport::operator=(), and DustyGasTransport::updateMultiDiffCoeffs().

vector_fp m_spwork

private

work space of size m_nsp;

Definition at line 311 of file DustyGasTransport.h.

Referenced by DustyGasTransport::getMolarFluxes(), DustyGasTransport::initialize(), and DustyGasTransport::operator=().

vector_fp m_spwork2

private

work space of size m_nsp;

Definition at line 314 of file DustyGasTransport.h.

Referenced by DustyGasTransport::getMolarFluxes(), DustyGasTransport::initialize(), and DustyGasTransport::operator=().

doublereal m_gradP

private

Pressure Gradient.

Definition at line 317 of file DustyGasTransport.h.

Referenced by DustyGasTransport::operator=().

bool m_knudsen_ok

private

Update-to-date variable for Knudsen diffusion coefficients.

Definition at line 320 of file DustyGasTransport.h.

Referenced by DustyGasTransport::initialize(), DustyGasTransport::operator=(), DustyGasTransport::setMeanPoreRadius(), DustyGasTransport::setPorosity(), DustyGasTransport::setTortuosity(), DustyGasTransport::updateKnudsenDiffCoeffs(), and DustyGasTransport::updateTransport_T().

bool m_bulk_ok

private

Update-to-date variable for Binary diffusion coefficients.

Definition at line 323 of file DustyGasTransport.h.

Referenced by DustyGasTransport::initialize(), DustyGasTransport::operator=(), DustyGasTransport::setPorosity(), DustyGasTransport::setTortuosity(), DustyGasTransport::updateBinaryDiffCoeffs(), DustyGasTransport::updateTransport_C(), and DustyGasTransport::updateTransport_T().

doublereal m_porosity

private

Porosity.

Definition at line 326 of file DustyGasTransport.h.

Referenced by DustyGasTransport::getMolarFluxes(), DustyGasTransport::operator=(), DustyGasTransport::setPorosity(), DustyGasTransport::updateBinaryDiffCoeffs(), and DustyGasTransport::updateKnudsenDiffCoeffs().

doublereal m_tortuosity

private

Tortuosity.

Definition at line 329 of file DustyGasTransport.h.

Referenced by DustyGasTransport::getMolarFluxes(), DustyGasTransport::operator=(), DustyGasTransport::setTortuosity(), DustyGasTransport::updateBinaryDiffCoeffs(), and DustyGasTransport::updateKnudsenDiffCoeffs().

doublereal m_pore_radius

private

Pore radius (meter)

Definition at line 332 of file DustyGasTransport.h.

Referenced by DustyGasTransport::operator=(), DustyGasTransport::setMeanPoreRadius(), and DustyGasTransport::updateKnudsenDiffCoeffs().

doublereal m_diam

private

Particle diameter.

The medium is assumed to consist of particles of size m_diam units = m

Definition at line 339 of file DustyGasTransport.h.

Referenced by DustyGasTransport::getMolarFluxes(), DustyGasTransport::operator=(), and DustyGasTransport::setMeanParticleDiameter().

doublereal m_perm

private

Permeability of the media.

The permeability is the proportionality constant for Darcy's law which relates discharge rate and viscosity to the applied pressure gradient.

Below is Darcy's law, where \( \kappa \) is the permeability

\[ v = \frac{\kappa}{\mu} \frac{\delta P}{\delta x} \]

units are m2

Definition at line 355 of file DustyGasTransport.h.

Referenced by DustyGasTransport::getMolarFluxes(), DustyGasTransport::operator=(), and DustyGasTransport::setPermeability().

Transport* m_gastran

private

Pointer to the transport object for the gas phase.

Note, this object owns the gastran object

Definition at line 361 of file DustyGasTransport.h.

Referenced by DustyGasTransport::gasTransport(), DustyGasTransport::getMolarFluxes(), DustyGasTransport::initialize(), DustyGasTransport::operator=(), DustyGasTransport::setThermo(), and DustyGasTransport::updateBinaryDiffCoeffs().

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