An estimate of heat generation, electric, and magnetic parameters from temperature fields in porous fins for electronic cooling systems

Abstract

In the present investigation, a numerically driven direct and inverse study is conducted for the simultaneous prediction of the internal heat generation, electric field, and magnetic field strengths in porous pin fins from the surface temperature profile in electronic cooling applications. Consideration under imposed electrical and magnetic fields along with all modes of heat transport is given. Initially, duly-verified forward solutions are generated for the calculation of the temperature profile, and subsequently, three unknown parameters are predicted at the same time using the inverse methodology assisted by the artificial bee colony (ABC) algorithm. Here, numerical case studies have been presented to discover a suitable relation between the three parameters estimated by the ABC methodology. The current research envisages that even though a wide range of probable parametric combinations exist sustaining the prescribed thermal profile, however, the magnetic field parameter mostly governs the thermal phenomenon, while, the effect of mutual interplay among the electrical field and internal heat generation parameters is responsible for the temperature distribution under a given measurement error. Even with the influence of random perturbations, the ABC-assisted inverse methodology is observed to precisely simulate and determine the required thermal criterion and establish the available thermal field within the 4.55% error margin. Toward meeting a necessary heat transfer rate from porous pin fins, the proposed strategy is claimed to be valuable for appropriately controlling the electric and magnetic fields along with the indefinite state of interior heat generation rate.