Analysis of the fractional order system in the thermal diffusive interface - Part 1: Application to a semi-infinite plane medium

R. A. Z. Daou, X. Moreau, R. Assaf, F. Christophy
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引用次数: 7

Abstract

The recognition of fractional order behavior when identifying physical systems is relatively new. One of these fields where the fractional order integration can show up is the thermal diffusive interfaces. In fact, for some special conditions, an integration of order 0.5 appears when identifying the system. So, the objective of this work, divided into two parts, is to study the presence and the effects of the fractional order on the system behavior, and to determine the relation between the applied flux, the conduction and the point of measurement of the temperature. Accordingly, this first part will treat the case of homogeneous semi-infinite aluminum bar. Results show that the fractional order behavior of the bar disappears whenever the temperature sensor is far from the boundary where the flux is applied.
热扩散界面中分数阶系统的分析。第1部分:半无限平面介质的应用
在识别物理系统时,对分数阶行为的识别是相对较新的。分数阶积分可以出现的领域之一是热扩散界面。事实上,在某些特殊条件下,识别系统时会出现0.5阶的积分。因此,本工作的目的分为两部分,研究分数阶对系统行为的存在和影响,并确定施加的通量、导通和温度测量点之间的关系。因此,第一部分将处理均匀半无限铝棒的情况。结果表明,当温度传感器远离施加焊条的边界时,焊条的分数阶行为消失。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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