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 w¯ > 0.01 y¯q and the dual-phase-lag model deviates from the diffusion model when w¯ > 0.01 y¯T . where w¯ is the angular velocity of the fluctuating wall temperature, y¯q is the phase-lag in the heat flux vector and y¯T is the phase-lag in the temperature gradient vector.