Analysis of non-Fourier heat conduction using smoothed particle hydrodynamics

A gridless discretization technique namely smoothed particle hydrodynamics (SPH) is used to analyze non-Fourier heat conduction. First, the technique has been employed to compute the temperature evolution in a slab subjected to an initial non-uniform temperature distribution with both the ends insulated. In case of parabolic heat conduction the temperature distribution achieves the steady state value through a monotonic change. Non-Fourier heat conduction is characterized by a significant temperature oscillation. The present numerical computation closely matches the analytical solution of the problem. Next, a slab with convective boundary condition at one end and the other end subjected to a sinusoidal temperature oscillation has been considered. Typical temperature oscillation at the convective end has been observed. This is significantly different from temperature variation calculated for parabolic heat conduction.