Critical times in multilayer diffusion. Part 2: Approximate solutions
Critical times in multilayer diffusion. Part 2: Approximate solutions
复制标题
多层扩散的关键时刻。
DOI：
10.1016/j.ijheatmasstransfer.2009.08.012
复制
发表时间：
2009
影响因子：
5.2
通讯作者：
G. Mercer
中科院分区：
文献类型：
--
作者：
R. Hickson;S. Barry;G. Mercer
多层扩散的传统平均方法不能准确估计临界时间行为，例如材料的加热时间。特别是，它们没有捕捉到层序的重要性。我们使用精确解的微扰展开来找到一个简单的近似解，它准确地描述了多层传输的临界时间。然后使用这个近似解来找到捕获关键临界时间行为的平均方法的修正。
Traditional averaging methods for multilayer diffusion give inaccurate approximations of critical time behaviour, such as the heating time of a material. In particular, they fail to capture the importance of layer order. We use a perturbation expansion of an exact solution to find a simple approximate solution which accurately describes the critical time for transport across multiple layers. This approximate solution is then used to find a correction for the averaging method which captures the key critical time behaviour.