Numerical simulation of non-Fourier heat conduction in fins by lattice Boltzmann method

The addition of fin to the surface of microelectronic elements is a very effective way to enhance their heat transfer rate. Since the heat generation of the microelectronic elements is very fast, the Fourier law is no longer valid and the non-Fourier effect must be considered when designing a fin. Cattaneo – Vernotte model (CV model) is the most common model that is used to describe the non-Fourier effect in heat conduction. The mathematical expression of the CV model is essentially a wave equation. The lattice Boltzmann method (LBM) can be used to solve the wave equation in the CV heat conduction problem. In this paper, LBM is used to solve the non-Fourier heat conduction in a fin under periodic boundary conditions. Effects of relaxation time, shape and the frequency of the base temperature oscillations on heat transfer efficiency are analyzed.