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

摘要

This article numerically analyzes the hyperbolicheat conduction problem in the film and substrate compositesunder an imposed surface heat flux on the exterior film surface.The radiation heat flux model is employed to take account of theinterface thermal resistance. The reflection and transmission occurat the contact surface of the dissimilar material which depends onthe substrate properties and interface conditions. The interfaceresistance restricts the energy transmission across the interface andalerts the reflected and transmitted waves' strength. Neglecting theinterface thermal resistance causes the temperature distribution inthe film to be greatly underestimated. Moreover, the hyperbolicequation predicts significantly different results with thosepredicted by the parabolic equation at small time scales. Thediscrepancies between the solutions in an investigation ofsuperconductor Y-Ba-Cu-O film depositions on severalcommonly used substrates are examined.