MATHEMATICAL MODEL OF A Zn/Br//2 CELL ON CHARGE.

A mathematical model of a parallel plate electro-chemical cell with multiple electrode reactions, a separator, and a homogeneous bulk reaction is presented. The model is based on the Zn/Br//2 redox couple and can be used as an aid for the design of an efficient rechargeable storage battery. It is shown that four independent variables exist for the system at a fixed temperature - the effective separator thickness, the residence time, the channel width, and the cell potential. Performance criteria of interest for the Zn/Br//2 battery are defined. Predictions of performance improves as the effective thickness of the separator is increased, despite the associated greater cell resistance. It is also shown that a change in the residence time over the range considered has little effect on cell performance.