TortuosityPercolation Class Reference

This class implements transport coefficient corrections appropriate for porous media where percolation theory applies. More...

#include <TortuosityPercolation.h>

Inheritance diagram for TortuosityPercolation:

Collaboration diagram for TortuosityPercolation:

Public Member Functions
	TortuosityPercolation (double percolationThreshold=0.4, double conductivityExponent=2.0)
	Default constructor uses Percolation exponent of 1.5.
	TortuosityPercolation (const TortuosityPercolation &right)
	Copy Constructor.
virtual	~TortuosityPercolation ()
	Default destructor for TortuosityPercolation.
TortuosityPercolation &	operator= (const TortuosityPercolation &right)
	Assignment operator.
virtual TortuosityBase *	duplMyselfAsTortuosityBase () const
	Duplication operator.
virtual doublereal	tortuosityFactor (doublereal porosity)
	The tortuosity factor models the effective increase in the diffusive transport length.
virtual doublereal	McMillanFactor (doublereal porosity)
	The McMillan number is the ratio of the flux-like variable to the value it would have without porous flow.

Protected Attributes
double	percolationThreshold_
	Critical volume fraction / site density for percolation.
double	conductivityExponent_
	Conductivity exponent.

Detailed Description

This class implements transport coefficient corrections appropriate for porous media where percolation theory applies.

Definition at line 23 of file TortuosityPercolation.h.

Constructor & Destructor Documentation

TortuosityPercolation	(	double	percolationThreshold = 0.4,
		double	conductivityExponent = 2.0
	)

Default constructor uses Percolation exponent of 1.5.

Parameters

setPower

Exponent in the Percolation factor. The default is 1.5

Definition at line 23 of file TortuosityPercolation.cpp.

Referenced by TortuosityPercolation::duplMyselfAsTortuosityBase().

TortuosityPercolation

(

const TortuosityPercolation &

right

)

Copy Constructor.

Parameters

right

Object to be copied

Definition at line 35 of file TortuosityPercolation.cpp.

~TortuosityPercolation ( )

virtual

Default destructor for TortuosityPercolation.

Definition at line 44 of file TortuosityPercolation.cpp.

Member Function Documentation

TortuosityPercolation & operator=

(

const TortuosityPercolation &

right

)

Assignment operator.

Parameters

right

Object to be copied

Definition at line 53 of file TortuosityPercolation.cpp.

References TortuosityPercolation::conductivityExponent_, TortuosityBase::operator=(), and TortuosityPercolation::percolationThreshold_.

TortuosityBase * duplMyselfAsTortuosityBase ( ) const

virtual

Duplication operator.

Returns

Returns a pointer to a duplicate of the current object given a base class pointer

Reimplemented from TortuosityBase.

Definition at line 71 of file TortuosityPercolation.cpp.

References TortuosityPercolation::TortuosityPercolation().

doublereal tortuosityFactor ( doublereal  porosity )

virtual

The tortuosity factor models the effective increase in the diffusive transport length.

This method returns \( 1/\tau^2 \) in the description of the flux

\( C_T D_i \nabla X_i / \tau^2 \).

Reimplemented from TortuosityBase.

Definition at line 84 of file TortuosityPercolation.cpp.

References TortuosityPercolation::McMillanFactor().

doublereal McMillanFactor ( doublereal  porosity )

virtual

The McMillan number is the ratio of the flux-like variable to the value it would have without porous flow.

The McMillan number combines the effect of tortuosity and volume fraction of the transported phase. The net flux observed is then the product of the McMillan number and the non-porous transport rate. For a conductivity in a non-porous media, \( \kappa_0 \), the conductivity in the porous media would be \( \kappa = (\rm McMillan) \kappa_0 \).

Reimplemented from TortuosityBase.

Definition at line 98 of file TortuosityPercolation.cpp.

References TortuosityPercolation::conductivityExponent_, and TortuosityPercolation::percolationThreshold_.

Referenced by TortuosityPercolation::tortuosityFactor().

Member Data Documentation

double percolationThreshold_

protected

Critical volume fraction / site density for percolation.

Definition at line 82 of file TortuosityPercolation.h.

Referenced by TortuosityPercolation::McMillanFactor(), and TortuosityPercolation::operator=().

double conductivityExponent_

protected

Conductivity exponent.

The McMillan number (ratio of effective conductivity to non-porous conductivity) is

\[ \kappa/\kappa_0 = ( \phi - \phi_c )^\mu \]

where \( \mu \) is the conductivity exponent (typical values range from 1.6 to 2.0) and \( \phi_c \) is the percolation threshold.

Definition at line 91 of file TortuosityPercolation.h.

Referenced by TortuosityPercolation::McMillanFactor(), and TortuosityPercolation::operator=().

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

• TortuosityPercolation.h
• TortuosityPercolation.cpp