Temperature Rise in a Battery Module with Constant Heat Generation

Abstract

A three-dimensional battery module in the shape of a block is taken to generate heat uniformly throughout. Thetemperature rise as a function of time is worked out based on equations for heat conduction in solids. After appropriatenondimensionalization, the maximum temperature rise depends on the thermal aspect ratios (defined herein). By asuperposition integral, the method can be extended to a time-dependent heat-generation rate, as appropriate for adriving profile.