Thermal Stability of Anisotropic Superconducting Wires/Cylinders under the Effect of Dual-Phase-Lag Heat Conduction Model

Three-dimensional simulation was used to study the thermal stability behavior of the anisotropic thick superconducting wire/cylinder under the effect of a dual-phase-lag heat conduction (DPL) model. The mathematical model developed considers the two lagging times for the heat flux vector and for the temperature gradient, the finite duration and finite length of the external heat disturbances and anisotropic thermal conductivity of the wire. It was found that the DPL model predicts a wider stable region as compared to the predictions of the parabolic and the wave heat conduction models. Additionally, it was shown that the thermal conductivity ratio is one of the most important factors affecting the thermal stability of the wire.