Cantera
2.3.0

This class implements transport coefficient corrections appropriate for porous media with a dispersed phase. More...
#include <Tortuosity.h>
Public Member Functions  
TortuosityMaxwell (double relativeConductivites=0.0)  
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 fluxlike 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  relativeConductivites_ 
Relative conductivities of the dispersed and continuous phases, relativeConductivites_ \( = \kappa_d / \kappa_0 \). More...  
Protected Attributes inherited from Tortuosity  
double  expBrug_ 
Bruggeman exponent: power to which the tortuosity depends on the volume fraction. More...  
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
\[ \kappa / \kappa_0 = 1 + 3 ( 1  \phi ) ( r  1 ) / ( r + 2 ) + O(\phi^2) \]
Definition at line 146 of file Tortuosity.h.

inline 
Default constructor uses Bruggeman exponent of 1.5.
Definition at line 150 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 from Tortuosity.
Definition at line 153 of file Tortuosity.h.
References TortuosityMaxwell::McMillan().

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 from Tortuosity.
Definition at line 157 of file Tortuosity.h.
References TortuosityMaxwell::relativeConductivites_.
Referenced by TortuosityMaxwell::tortuosityFactor().

protected 
Relative conductivities of the dispersed and continuous phases, relativeConductivites_
\( = \kappa_d / \kappa_0 \).
Definition at line 164 of file Tortuosity.h.
Referenced by TortuosityMaxwell::McMillan().