Abstract
A fully integrated mass transfer and electrochemical model of a lithium production cell solved using a finite element method is presented. The coupled effect of momentum and mass transfer, kinetics, and electric fields is taken all into account. The turbulent flow resulting from the bubbles generated at the anode is solved based on a k- $$\epsilon$$ model. The ohmic overpotential and hyperpolarization due to the bubbles are considered through a resistive layer and bubble coverage at the surface of the anode. Furthermore, the effects of the anode–cathode distance (ACD) and current density on the electric and concentration fields of the cell are simulated. The results of the transient simulation reveal that the diaphragm separates the cell in two regions with different flow fields: a first region between the anode and the diaphragm and a second zone between the diaphragm and the cathode. The flow of bubbles generated at the anode has an important impact only in the first region, where the most important gradients are found. The concentration of ions is uniform in the second region. As expected, the current density plays an important role in the electrokinetic of the cell. The change in the geometry of the cell, studied by varying the ACD or by removing the diaphragm, has an important impact on the cell potential and on the concentration of electroactive species near the electrodes. The cell voltage is reduced by as much as 40% when the diaphragm is removed.
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