Hyperbolic heat conduction in thin-film high T-c superconductors with interface thermal resistance

Abstract

This article numerically analyzes the hyperbolic heat conduction problem in the film and substrate composites under an imposed surface heat flux on the exterior film surface. The radiation heat flux model is employed to take account of the interface thermal resistance. The reflection and transmission occur at the contact surface of the dissimilar material which depends on the substrate properties and interface conditions. The interface resistance restricts the energy transmission across the interface and alerts the reflected and transmitted waves' strength. Neglecting the interface thermal resistance causes the temperature distribution in the film to be greatly underestimated. Moreover, the hyperbolic equation predicts significantly different results with those predicted by the parabolic equation at small time scales. The discrepancies between the solutions in an investigation of superconductor Y-Ba-Cu-O film depositions on several commonly used substrates are examined. (C) 1999 Elsevier Science Ltd. All rights reserved.