This class implements transport coefficient corrections appropriate for porous media where percolation theory applies. More...
#include <TortuosityPercolation.h>
Public Member Functions | |
| TortuosityPercolation (double percolationThreshold=0.4, double conductivityExponent=2.0) | |
| Default constructor uses Percolation exponent of 1.5. More... | |
| TortuosityPercolation (const TortuosityPercolation &right) | |
| Copy Constructor. More... | |
| TortuosityPercolation & | operator= (const TortuosityPercolation &right) |
| Assignment operator. More... | |
| virtual TortuosityBase * | duplMyselfAsTortuosityBase () const |
| Duplication operator. More... | |
| virtual doublereal | tortuosityFactor (doublereal porosity) |
| The tortuosity factor models the effective increase in the diffusive transport length. More... | |
| 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. More... | |
 Public Member Functions inherited from TortuosityBase | |
| TortuosityBase () | |
| Default constructor uses Bruggeman exponent of 1.5. More... | |
| TortuosityBase (const TortuosityBase &right) | |
| Copy Constructor. More... | |
| virtual | ~TortuosityBase () |
| Default destructor for TortuosityBase. More... | |
| TortuosityBase & | operator= (const TortuosityBase &right) |
| Assignment operator. More... | |
Protected Attributes | |
| double | percolationThreshold_ |
| Critical volume fraction / site density for percolation. More... | |
| double | conductivityExponent_ |
| Conductivity exponent. More... | |
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 21 of file TortuosityPercolation.cpp.
Referenced by TortuosityPercolation::duplMyselfAsTortuosityBase().
| TortuosityPercolation | ( | const TortuosityPercolation & | right | ) |
Copy Constructor.
- Parameters
-
right Object to be copied
Definition at line 33 of file TortuosityPercolation.cpp.
Member Function Documentation
| TortuosityPercolation & operator= | ( | const TortuosityPercolation & | right | ) |
Assignment operator.
- Parameters
-
right Object to be copied
Definition at line 45 of file TortuosityPercolation.cpp.
References TortuosityPercolation::conductivityExponent_, TortuosityBase::operator=(), and TortuosityPercolation::percolationThreshold_.
|
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 63 of file TortuosityPercolation.cpp.
References TortuosityPercolation::TortuosityPercolation().
|
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 75 of file TortuosityPercolation.cpp.
References TortuosityPercolation::McMillanFactor().
|
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 89 of file TortuosityPercolation.cpp.
References TortuosityPercolation::conductivityExponent_, and TortuosityPercolation::percolationThreshold_.
Referenced by TortuosityPercolation::tortuosityFactor().
Member Data Documentation
|
protected |
Critical volume fraction / site density for percolation.
Definition at line 79 of file TortuosityPercolation.h.
Referenced by TortuosityPercolation::McMillanFactor(), and TortuosityPercolation::operator=().
|
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 88 of file TortuosityPercolation.h.
Referenced by TortuosityPercolation::McMillanFactor(), and TortuosityPercolation::operator=().
The documentation for this class was generated from the following files:
