Transient analysis of functionally graded material fin under the effect of Lorentz force using the integral transform method for improved electronic packaging

摘要

In the present work, transient analysis of longitudinal fin of functionally graded material under the influence of Lorentz force is considered. The governing equations of the linear, quadratic, and exponential functions are solved via Bessel, Legendre, and modified Bessel functions, respectively. The study investigates the effects of Lorentz force on the performance of the fin. The study shows that the transient response of the fin is lower in the linear law function compared with the exponential law function. The power law function shows significant energy-saving capability than the linear class functionally graded material heatsink. Moreover, the thermal characteristic of the fin improves with an increase in the convective, radiative, magnetic field parameter, and nonhomogeneous index. The temperature prediction of the present study using the integral transform method is verified with the fourth-order Runge-Kutta method with an excellent agreement established.