Constructal entransy dissipation minimization of an electromagnet

How to determine the optimal distribution of high conductivity material through the given volume such that the heat generated at every point was transferred most effectively to its boundary has become the focus of attention in the current constructal theory literature. In general, the minimization of maximum temperature difference in the volume is taken as the optimization objective. A physical quantity, entransy, has been identified as a basis for optimizing heat transfer processes in terms of the analogy between heat and electrical conduction recently. Heat transfer analyses show that the entransy of an object describes its heat transfer ability, as the electrical energy in a capacitor describes its charge transfer ability. Entransy dissipation occurs during heat transfer processes, as a measure of the heat transfer irreversibility with the dissipation related thermal resistance. Based on entransy dissipation, the mean temperature difference of solenoid (electromagnet) with high thermal conductivity mat...