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Current-driven crossover #41

@ericfell

Description

@ericfell

Description

In some cases we may want to model current-driven crossover of redox-actives, rather than purely concentration-gradient-driven crossover (as is already included in the Crossover class).

Motivation

Current-driven crossover is not a dominant effect for the large redox-active organic molecules with which rfbzero was primarily built to model, but is definitely important to include when simulating the metal-ion RFB systems (Fe, V, Cr, etc.), or systems employing small molecules and size-exclusion membranes.

Possible Implementation

If we can assume dilute solution theory is applicable, then the equations for current-driven crossover have previously been adapted for zero-dimensional cases, see The Influence of Electric Field on Crossover in Redox-Flow Batteries and later work, A Method for Quantifying Crossover in Redox Flow Cells through Compositionally Unbalanced Symmetric Cell Cycling. This should be straightforward to implement in Crossover, but more input parameters will be needed to describe membrane properties (membrane conductivity, electro-osmotic coefficient, concentration of fixed ion sites, etc.).

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