激光辐照材料表面非Fourier热传导问题的半解析解

doi:10.3969/j.issn.1000-1565.2016.05.001

河北大学学报(自然科学版) ›› 2016, Vol. 36 ›› Issue (5): 449-454.DOI: 10.3969/j.issn.1000-1565.2016.05.001

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激光辐照材料表面非Fourier热传导问题的半解析解

张丽静,尚新春

收稿日期:2016-04-27 出版日期:2016-09-25 发布日期:2016-09-25
通讯作者: 尚新春(1958—),男,山西朔州人,北京科技大学教授,博士生导师,主要从事热学、力学问题的研究.E-mail:shangxc@ustb.edu.cn
作者简介:张丽静(1973—),女,山西大同人,北京科技大学讲师,主要从事应用数学及热力耦合问题的研究. E-mail:zhanglij@ustb.edu.cn
基金资助:
爆炸科学重点实验室开放基金资助项目(KFJJ12-12M);国家自然科学基金资助项目(10772024)

Semi-analytic solution of the non-Fourier thermal propagation on the surface of material irradiated by laser beam

ZHANG Lijing,SHANG Xinchun

School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China

Received:2016-04-27 Online:2016-09-25 Published:2016-09-25

摘要/Abstract

摘要： 针对有较长热驰豫时间的材料在表面受到激光脉冲照射时的非Fourier热传导问题,利用Laplace、Hankel变换及其逆变换,给出了一个半解析解.数值仿真表明,该半解析解能够清晰显示非Fourier热传导问题中的热波现象.

关键词: 非Fourier效应, 半解析解, 积分变换, 热弛豫时间

Abstract: The non-Fourier model of heat transfer as a laser pulse irritating on surface of material with large thermal relaxation time is considered.A new semi-analytic solution is derived by using Laplace,Hankel and their inverse transforms.By numerically simulating the solution,the wave form behavior of temperature can be seen clearly.

Key words: non-Fourier effect, semi-analytic solution, integral transform, thermal relaxation time

中图分类号:

张丽静,尚新春. 激光辐照材料表面非Fourier热传导问题的半解析解[J]. 河北大学学报(自然科学版), 2016, 36(5): 449-454.

ZHANG Lijing,SHANG Xinchun. Semi-analytic solution of the non-Fourier thermal propagation on the surface of material irradiated by laser beam[J]. Journal of Hebei University (Natural Science Edition), 2016, 36(5): 449-454.

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激光辐照材料表面非Fourier热传导问题的半解析解

Semi-analytic solution of the non-Fourier thermal propagation on the surface of material irradiated by laser beam

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