An unconstrained mathematical description for conduction heat transfer problems with linear temperature-dependent thermal conductivity

摘要

This work presents a systematic modeling for conduction heat transfer problems in which the thermal conductivity is assumed a linear function of the temperature. In general, the mathematical descriptions arising from a linear relationship between thermal conductivity and temperature give rise to more than one solution, some of them without physical sense. In this work a convenient mathematical representation is proposed, avoiding physically inadmissible solutions.