<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Dias, C.J.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Transient heat diffusion in multilayered materials with thermal contact resistance</style></title><secondary-title><style face="normal" font="default" size="100%">International Journal of Heat and Mass Transfer</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Boundary conditions</style></keyword><keyword><style  face="normal" font="default" size="100%">Contact resistance</style></keyword><keyword><style  face="normal" font="default" size="100%">Diffusion</style></keyword><keyword><style  face="normal" font="default" size="100%">Diffusion problems</style></keyword><keyword><style  face="normal" font="default" size="100%">Heat resistance</style></keyword><keyword><style  face="normal" font="default" size="100%">Multilayer materials</style></keyword><keyword><style  face="normal" font="default" size="100%">Multilayered materials</style></keyword><keyword><style  face="normal" font="default" size="100%">Multilayers</style></keyword><keyword><style  face="normal" font="default" size="100%">Recursive images</style></keyword><keyword><style  face="normal" font="default" size="100%">Substrate structure</style></keyword><keyword><style  face="normal" font="default" size="100%">Thermal conductivity of solids</style></keyword><keyword><style  face="normal" font="default" size="100%">Thermal contact resistance</style></keyword><keyword><style  face="normal" font="default" size="100%">Transient diffusion equations</style></keyword><keyword><style  face="normal" font="default" size="100%">Transient heat diffusion</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.scopus.com/inward/record.uri?eid=2-s2.0-84961675253&amp;doi=10.1016%2fj.ijheatmasstransfer.2016.02.079&amp;partnerID=40&amp;md5=0d273dde243ac8d5d9b420354aad9a09</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Elsevier Ltd</style></publisher><volume><style face="normal" font="default" size="100%">97</style></volume><pages><style face="normal" font="default" size="100%">1001-1009</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">A further extension to the method of recursive images is presented to obtain solutions of the transient diffusion equation in multilayered materials, based on the recursive superposition of Green functions for a semi-infinite material. This extension enables one to find the solution also when thermal contact resistance exists between the layers. Through a sequential sum of image Green functions, a temperature solution is initially built for a structure of one layer over a substrate. These functions are chosen in order to satisfy in sequence the boundary conditions, first at the front interface then at the back interface then again at the front interface and so on until the magnitude of the added functions becomes negligible. This present scheme is now valid for boundary conditions of the first, second and third kind. Four different heat diffusion problems are solved, illustrating how the method works. The first three are diffusion problems of a layer over a substrate while the last one is a three layer over a substrate structure with thermal resistance between layer 2 and 3. © 2016 Elsevier Ltd. All rights reserved.</style></abstract><notes><style face="normal" font="default" size="100%">cited By 0</style></notes></record></records></xml>