TortuosityBruggeman Class Reference

Base case to handle tortuosity corrections for diffusive transport in porous media using the Bruggeman exponential approximation. More...

#include <TortuosityBruggeman.h>

Inheritance diagram for TortuosityBruggeman:

Collaboration diagram for TortuosityBruggeman:

Public Member Functions
	TortuosityBruggeman (doublereal setPower=1.5)
	Default constructor uses Bruggeman exponent of 1.5.
	TortuosityBruggeman (const TortuosityBruggeman &right)
	Copy Constructor.
virtual	~TortuosityBruggeman ()
	Default destructor for TortuosityBruggeman.
TortuosityBruggeman &	operator= (const TortuosityBruggeman &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
doublereal	expBrug_
	Bruggeman exponent: power to which the tortuosity depends on the volume fraction.

Detailed Description

Base case to handle tortuosity corrections for diffusive transport in porous media using the Bruggeman exponential approximation.

Class to compute the increase in diffusive path length associated with tortuous path diffusion through, for example, porous media. This base class implementation relates tortuosity to volume fraction through a power-law relationship that goes back to Bruggeman. The exponent is referred to as the Bruggeman exponent.

Note that the total diffusional flux is generally written as

\[ \frac{ \phi C_T D_i \nabla X_i }{ \tau^2 } \]

where \( \phi \) is the volume fraction of the transported phase, \( \tau \) is referred to as the tortuosity. (Other variables are \( C_T \), the total concentration, \( D_i \), the diffusion coefficient, and \( X_i \), the mole fraction with Fickian transport assumed.)

The tortuosity comes into play in conjunction the the

Definition at line 44 of file TortuosityBruggeman.h.

Constructor & Destructor Documentation

TortuosityBruggeman

(

doublereal

setPower = 1.5

)

Default constructor uses Bruggeman exponent of 1.5.

Parameters

setPower

Exponent in the Bruggeman factor. The default is 1.5

Definition at line 23 of file TortuosityBruggeman.cpp.

Referenced by TortuosityBruggeman::duplMyselfAsTortuosityBase().

TortuosityBruggeman

(

const TortuosityBruggeman &

right

)

Copy Constructor.

Parameters

right

Object to be copied

Definition at line 33 of file TortuosityBruggeman.cpp.

~TortuosityBruggeman ( )

virtual

Default destructor for TortuosityBruggeman.

Definition at line 41 of file TortuosityBruggeman.cpp.

Member Function Documentation

TortuosityBruggeman & operator=

(

const TortuosityBruggeman &

right

)

Assignment operator.

Parameters

right

Object to be copied

Definition at line 50 of file TortuosityBruggeman.cpp.

References TortuosityBruggeman::expBrug_, and TortuosityBase::operator=().

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 67 of file TortuosityBruggeman.cpp.

References TortuosityBruggeman::TortuosityBruggeman().

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 81 of file TortuosityBruggeman.cpp.

References TortuosityBruggeman::expBrug_.

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 95 of file TortuosityBruggeman.cpp.

References TortuosityBruggeman::expBrug_.

Member Data Documentation

doublereal expBrug_

protected

Bruggeman exponent: power to which the tortuosity depends on the volume fraction.

Definition at line 102 of file TortuosityBruggeman.h.

Referenced by TortuosityBruggeman::McMillanFactor(), TortuosityBruggeman::operator=(), and TortuosityBruggeman::tortuosityFactor().

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

• TortuosityBruggeman.h
• TortuosityBruggeman.cpp