Caputo–Fabrizio Heat Transport in a Moving Thin Slab Due to Laser Pulse

Abstract

The aim of this study is to characterize the micro-structural effects for the thermoelastic interactions in a moving finite medium due to a time-dependent laser heat source. The heat transport equation has been formulated in the context of dual-phase-lag (DPL) model of generalized thermoelasticity. The medium is subjected to a time-dependent laser heat source, in which the capacity of the source decays exponentially. It is assumed that the boundaries of the medium are thermally insulated. The heat transport equation is formulated using the Caputo–Fabrizio derivative. Laplace transform technique is used to solve the governing equations and a suitable numerical scheme is adopted to arrive at the solutions. The corresponding numerical inversion has been carried out using the Zakian method. According to the graphical representations, conclusions about the new theory are constructed. The graphical representation interprets a novel observation of how the numerical scheme of the Zakian method gives superior results compared to Tzou algorithm or Stehfest method. Moreover, a comparative study between the Cattaneo–Vernotte equation and the DPL equation has been analyzed and, due to the microstructural effects into the delayed response in time, the superiority of the DPL model compared to the CV model is analyzed too.