Cantera  2.0
TortuosityPercolation Class Reference

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

#include <TortuosityPercolation.h>

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## 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.

TortuosityPercolationoperator= (const TortuosityPercolation &right)
Assignment operator.

virtual TortuosityBaseduplMyselfAsTortuosityBase () 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.

 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.

 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.

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=().

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