Cantera
2.3.0

Specific Class to handle tortuosity corrections for diffusive transport in porous media using the Bruggeman exponent. More...
#include <Tortuosity.h>
Public Member Functions  
Tortuosity (double setPower=1.5)  
Default constructor uses Bruggeman exponent of 1.5. More...  
virtual double  tortuosityFactor (double porosity) 
The tortuosity factor models the effective increase in the diffusive transport length. More...  
virtual double  McMillan (double porosity) 
The McMillan number is the ratio of the fluxlike variable to the value it would have without porous flow. More...  
Protected Attributes  
double  expBrug_ 
Bruggeman exponent: power to which the tortuosity depends on the volume fraction. More...  
Specific Class to handle tortuosity corrections for diffusive transport in porous media using the Bruggeman exponent.
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 powerlaw 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.)
Definition at line 44 of file Tortuosity.h.

inline 
Default constructor uses Bruggeman exponent of 1.5.
Definition at line 48 of file Tortuosity.h.

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 in TortuosityMaxwell, and TortuosityPercolation.
Definition at line 57 of file Tortuosity.h.
References Tortuosity::expBrug_.

inlinevirtual 
The McMillan number is the ratio of the fluxlike 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 nonporous transport rate. For a conductivity in a nonporous media, \( \kappa_0 \), the conductivity in the porous media would be \( \kappa = (\rm McMillan) \kappa_0 \).
Reimplemented in TortuosityMaxwell, and TortuosityPercolation.
Definition at line 70 of file Tortuosity.h.
References Tortuosity::expBrug_.

protected 
Bruggeman exponent: power to which the tortuosity depends on the volume fraction.
Definition at line 77 of file Tortuosity.h.
Referenced by Tortuosity::McMillan(), and Tortuosity::tortuosityFactor().