An analytical solution of the dual phase lag bioheat transfer model of human dentin sub-Jected to short-pulsed er: Yag laser irradiation

A dual phase lag mathematical model for the temperature evolution in the dentin layer of a human tooth exposed to Er: YAG solid-state laser is presented by including the phase lag in heat flux and the phase lag in the temperature gradient in the Fourier heat transfer model and a laser source term, described by the Beer-Lambert law. The Laplace transformation technique is used to obtain an analytical solution to the model and the computational results are presented through the graphs. The influence of various model parameters on the temperature distribution and difference in the dentin are investigated and illustrated. It displayed and described how several common characteristics, such as the heat flux phase lag and the number of pulses, affect temperature distribution and changes.