The dual-phase-lag heat conduction model in thin slabs under a fluctuating volumetric thermal disturbance

In the present work, the thermal behavior of a thin slab, under the effect of a fluctuating volumetric thermal disturbance described by the dual-phase-lag heat conduction model is investigated. It is found that the use of the dual-phase-lag heat conduction model is essential at large frequencies of the volumetric disturbance. It is found that the hyperbolic wave model deviates from the diffusion model when (omega) over bar > 0.01/(tau) over bar (q) and the dual-phase-lag model deviates from the diffusion model when (omega) over bar > 0.01/(tau) over barT. where (omega) over bar is the angular velocity of the fluctuating wall temperature, (tau) over bar (q) is the phase-lag in the heat flux vector and (tau) over bar (T) is the phase-lag in the temperature gradient vector.