Dual-phase-lag heat conduction model in thin slab under the effect of a moving heating source

In the present work, the thermal behavior of a thin slab, under the effect of a moving heating Source and as described by the dual-phase-lag heat conduction modei is investigated. Two configurations are considered which are the finite and the semi-infinite domains. For each configuration, two types of thermal boundary conditions are considered which are the isothermal and the insulated types. Three dimensionless parameters are found to control the thermal behavior of the considered problem, which are the dimensionless heating source speed U, relaxation time ratio B and the dimensionless plate thickness xi(o) for the finite domain configuration. It is found that using the dual-phase-lag model is essential when the dimensionless speed of the source U > 0. 1. It is Found that the effect of B on the deviation between the dual-phase-lag model and the diffusion model is slightly insignificant especially for small values of U. However, the deviation between the three models increases as xi(o) decreases. (C) 2004 Elsevier Science Ltd