Abstract
The mathematical model for discharge in lithium ion batteries is developed based on novel multiphase fluid model. The phases of lithium, lithium ion, negative ion and the electron are considered in the model. Maxwell's equations for electric field and Butler-Volmer equation for electrochemical reaction are also included. The numerical code based on implicit SOR scheme is developed and the numerical solutions of the discharge characteristics are successfully obtained for various operating conditions. Furthermore, the comparisons of the discharge characteristics between experimental and numerical results are made in detail. They are in good agreement from the viewpoint of engineering applications. Consequently, it is found that the nanoscale multiphase fluid model and the numerical scheme proposed here are useful enough for practical computational design of the lithium ion rechargeable batteries.