具有圆形界面绝缘体的双材料中的分数双相滞后非傅立叶传热

IF 1.1 4区 工程技术 Q4 ENGINEERING, MECHANICAL
Xue-yang Zhang, Yingsi Hu, Xian‐Fang Li
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引用次数: 0

摘要

研究了具有圆形绝缘界面区的双材料在突然加热或冷却下的瞬态温度响应。采用时间分数双相位滞后导热模型对非傅立叶效应进行了模拟。将该问题简化为一个初始边值问题。应用拉普拉斯变换将问题转化为混合边值问题,然后利用汉克尔变换将其转化为Fredholm积分方程。分别讨论了绝热圆形边缘附近渐近热行为的特殊情况和稳态情况。采用Stehfest的拉普拉斯逆变换技术,数值计算了绝热圆形边缘附近热通量和温度梯度的动态强度因子。分析了分数阶数和弛豫时间对瞬时温度变化的影响。导出了稳态情况下温度场的精确解,并以图形形式显示。解释了分数双相位滞后模型的波状扩散行为。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Fractional Dual-Phase-Lag Non-Fourier Heat Transfer in a Bimaterial with a Circular Interface Insulator
The transient temperature response of a bimaterial with a circular insulated interface region is studied under sudden heating or cooling. The time-fractional dual-phase-lag heat conduction model is adopted to simulate the non-Fourier effect. The problem is reduced to an initial-boundary value problem. The Laplace transform is applied to convert the problem to a mixed boundary value problem, and then the Hankel transform reduces it to a Fredholm integral equation. Special situations for asymptotic thermal behavior near the insulated circular edge and for the steady-state cases are discussed, respectively. The dynamic intensity factors of heat flux and temperature gradient near the insulated circular edge are computed numerically through Stehfest’s Laplace inversion transform technique. The influences of fractional order and relaxation times on the instantaneous temperature change are analyzed. The exact solution of temperature fields for the steady-state case is derived and displayed graphically. The wave-like diffusion behavior of the fractional dual-phase-lag model is interpreted.
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来源期刊
Journal of Thermophysics and Heat Transfer
Journal of Thermophysics and Heat Transfer 工程技术-工程:机械
CiteScore
3.50
自引率
19.00%
发文量
95
审稿时长
3 months
期刊介绍: This Journal is devoted to the advancement of the science and technology of thermophysics and heat transfer through the dissemination of original research papers disclosing new technical knowledge and exploratory developments and applications based on new knowledge. The Journal publishes qualified papers that deal with the properties and mechanisms involved in thermal energy transfer and storage in gases, liquids, and solids or combinations thereof. These studies include aerothermodynamics; conductive, convective, radiative, and multiphase modes of heat transfer; micro- and nano-scale heat transfer; nonintrusive diagnostics; numerical and experimental techniques; plasma excitation and flow interactions; thermal systems; and thermophysical properties. Papers that review recent research developments in any of the prior topics are also solicited.
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