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

#include <Tortuosity.h>

Inheritance diagram for TortuosityPercolation:

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Collaboration diagram for TortuosityPercolation:

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Public Member Functions
	TortuosityPercolation (double percolationThreshold=0.4, double conductivityExponent=2.0)
	Default constructor uses Bruggeman exponent of 1.5. More...

double	tortuosityFactor (double porosity)
	The tortuosity factor models the effective increase in the diffusive transport length. More...

double	McMillan (double 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 Tortuosity
	Tortuosity (double setPower=1.5)
	Default constructor uses Bruggeman exponent of 1.5. More...

Protected Attributes
double	percolationThreshold_
	Critical volume fraction / site density for percolation. More...

double	conductivityExponent_
	Conductivity exponent. More...

Protected Attributes inherited from Tortuosity
double	expBrug_
	Bruggeman exponent: power to which the tortuosity depends on the volume fraction. More...

Detailed Description

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

It is derived from the Tortuosity class.

Definition at line 86 of file Tortuosity.h.

Constructor & Destructor Documentation

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

inline

Default constructor uses Bruggeman exponent of 1.5.

Definition at line 91 of file Tortuosity.h.

Member Function Documentation

double tortuosityFactor ( double porosity )

inlinevirtual

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

This method returns \( 1/\tau^2 \) in the description of the flux \( \phi C_T D_i \nabla X_i / \tau^2 \).

Reimplemented from Tortuosity.

Definition at line 100 of file Tortuosity.h.

References TortuosityPercolation::McMillan().

double McMillan ( double porosity )

inlinevirtual

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 Tortuosity.

Definition at line 114 of file Tortuosity.h.

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

Referenced by TortuosityPercolation::tortuosityFactor().