modelPEM

Proton exchange membrane

Extends from Region (Base model for a 3D array of subregions).

Information

This model represents the proton exchange membrane of a PEMFC. The x axis extends from the anode to the cathode. By default, the cross-sectional area in the yz plane is 50 cm2.

The transport of protons includes inertance or inductance (i.e., translational momentum is stored) in the x direction in the subregions with index (x = 1, y > 1, z > 1). This is for numerical reasons, although in reality there is inductance.

Assumptions:

  1. There are no pores in the PEM. All H2O is absorbed into the ionomer itself.
  2. There is no cross-over of the reactant gases.

For more information, please see the Region model.

Parameters

TypeNameDefaultDescription
Integern_x (from Region)size(L_x, 1)Number of sets of subregions along the x axis
Integern_y (from Region)size(L_y, 1)Number of sets of subregions along the y axis
Integern_z (from Region)size(L_z, 1)Number of sets of subregions along the z axis
Q.Length[Axis]L (from Region){sum(L_x), sum(L_y), sum(L_z)}Length
Q.Area[Axis]A (from Region){L[cartWrap(axis + 1)]*L[cartWrap(axis + 2)] for axis in Axis}Cross-sectional areas
Q.VolumeV (from Region)product(L)Volume
Geometry
Q.Length[:]L_x (from Region){U.cm}Lengths along the x axis
Q.Length[:]L_y (from Region){U.cm}Lengths along the y axis
Q.Length[:]L_z (from Region){U.cm}Lengths across the z axis
Assumptions › Included transport axes
BooleaninclTransX (from Region)trueX
BooleaninclTransY (from Region)trueY
BooleaninclTransZ (from Region)trueZ

Connectors

TypeNameDefaultDescription
Connectors.BoundaryBus[n_y,n_z]xNegative (from Region)Negative boundary along the x axis
Connectors.BoundaryBus[n_y,n_z]xPositive (from Region)Positive boundary along the x axis
Connectors.BoundaryBus[n_x,n_z]yNegative (from Region)Negative boundary along the y axis
Connectors.BoundaryBus[n_x,n_z]yPositive (from Region)Positive boundary along the y axis
Connectors.BoundaryBus[n_x,n_y]zNegative (from Region)Negative boundary along the z axis
Connectors.BoundaryBus[n_x,n_y]zPositive (from Region)Positive boundary along the z axis

Components

TypeNameDefaultDescription
Subregion[n_x,n_y,n_z]subregions (from Region)Instances of the subregion model