Um novo procedimento para a simulação de aletas cilíndricas infinitas, com condutividade térmica variável

Abstract

Extended surfaces, usually called fins, are well known devices employed for increasing the heat transferred from a given surface by means of an artificial increase of the actual area of heat transmission. This work presents an analytic approach for establishing a relationship between the temperature and the spatial position in any infinite cylindrical fin, providing a completely innovative tool for this class of phenomena that, up to now, was mathematically modeled as the heat transfer process in a long fin, but with prescribed finite length. The results are valid even for nonlinear heat transfer process, especially those in which the thermal conductivity depends on the local temperature, the ones involving porous fins and the ones in which radiation heat transfer is taken into account. In addition, the total heat flux is calculated in a simple, direct and exact way. Some illustrative examples are presented.