Mathematical Model for Moderately Dilute Electrolytes of Lithium Ion Battery

We formulate a model for transport (of both Li+ ions and a generic N- ion species) in a moderately dilute electrolyte - i.e. an electrolyte in which ionic concentrations (of Li+ and N-) are small compared to that of the solvent (so that solvent need not be treated explicitly), but are not sufficiently dilute to be treated with the Nernst-Planck theory. We approximate Nernst-Planck theory by assuming that the local concentrations of the various …