Finite Element Modeling of the Second-Sound Phenomenon

The heat propagation task described by the Fourier’s law leads to the parabolic differential equation and as a consequence to unlimited speed of propagation. During the last three decades, nonclassical theories free from this drawback have been formulated. These new theories apply modified versions of the classical heat transport equation and involve hyperbolic-type heat transport admitting finite speeds of thermal signals. According to these theories, heat propagation is to be viewed as a wave phenomenon, instead of diffusion phenomenon. A wavelike thermal propagation is referred to as second sound. We summarize the nonclassical theories and implement the Cattaneo-Vernotte type of equation in COMSOL Multiphisics and solve the problem with 3D model