Maxwell model for tortuosity. More...
#include <TortuosityMaxwell.h>
Public Member Functions | |
| TortuosityMaxwell (double relativeConductivites=0.0) | |
| Default constructor uses Maxwelln exponent of 1.5. More... | |
| TortuosityMaxwell (const TortuosityMaxwell &right) | |
| Copy Constructor. More... | |
| TortuosityMaxwell & | operator= (const TortuosityMaxwell &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 | |
| doublereal | relativeConductivities_ |
| Relative conductivities of the dispersed and continuous phases,. More... | |
Detailed Description
Maxwell model for tortuosity.
This class implements transport coefficient corrections appropriate for porous media with a dispersed phase. This model goes back to Maxwell. The formula for the conductivity is expressed in terms of the volume fraction of the continuous phase, \( \phi \), and the relative conductivities of the dispersed and continuous phases, \( r = \kappa_d / \kappa_0 \). For dilute particle suspensions the effective conductivity is
\[ \kappa / \kappa_0 = 1 + 3 ( 1 - \phi ) ( r - 1 ) / ( r + 2 ) + O(\phi^2) \]
The class is derived from the TortuosityBase class.
Definition at line 41 of file TortuosityMaxwell.h.
Constructor & Destructor Documentation
| TortuosityMaxwell | ( | double | relativeConductivites = 0.0 | ) |
Default constructor uses Maxwelln exponent of 1.5.
- Parameters
-
setPower Exponent in the Maxwell factor. The default is 1.5
Definition at line 21 of file TortuosityMaxwell.cpp.
Referenced by TortuosityMaxwell::duplMyselfAsTortuosityBase().
| TortuosityMaxwell | ( | const TortuosityMaxwell & | right | ) |
Copy Constructor.
- Parameters
-
right Object to be copied
Definition at line 31 of file TortuosityMaxwell.cpp.
Member Function Documentation
| TortuosityMaxwell & operator= | ( | const TortuosityMaxwell & | right | ) |
Assignment operator.
- Parameters
-
right Object to be copied
Definition at line 42 of file TortuosityMaxwell.cpp.
References TortuosityBase::operator=(), and TortuosityMaxwell::relativeConductivities_.
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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 59 of file TortuosityMaxwell.cpp.
References TortuosityMaxwell::TortuosityMaxwell().
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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 71 of file TortuosityMaxwell.cpp.
References TortuosityMaxwell::McMillanFactor().
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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 85 of file TortuosityMaxwell.cpp.
References TortuosityMaxwell::relativeConductivities_.
Referenced by TortuosityMaxwell::tortuosityFactor().
Member Data Documentation
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protected |
Relative conductivities of the dispersed and continuous phases,.
\[ \code{relativeConductivites_} = \kappa_d / \kappa_0 \]
Definition at line 103 of file TortuosityMaxwell.h.
Referenced by TortuosityMaxwell::McMillanFactor(), and TortuosityMaxwell::operator=().
The documentation for this class was generated from the following files:
