Dual-phase lag behavior of a gas-saturated porous-medium heated by a short-pulsed laser

A dual-phase lag (DPL) model is used to investigate the heat conduction in a gas-saturated porous medium subjected to a short-pulsed laser heating. The energy equations for the powder and gas phase are combined together to obtain a DPL heat conduction equation with temperature of the powder layer as the sole unknown. A perfect correlation obtained from Laplace transformation is applied to analytically solve the DPL problem with internal heat source. The Riemann sum approximation is applied to find the inverse Laplace transform of the powder layer temperature distribution. Variations of powder temperature at heating and adiabatic surface and powder temperature distribution are studied. The results show that the analytical solutions are in a good agreement with the numerical solutions. The effects of phase lags times, pulse width, laser fluence, porosity on the DPL behavior of the gas-saturated powder layer are also investigated.