A numerical method for two-dimensional inverse heat conduction problems

被引:4
|
作者
Li, Xiuying [1 ]
机构
[1] Changshu Inst Technol, Dept Math, Changshu, Peoples R China
基金
中国国家自然科学基金;
关键词
Variational iteration method; Inverse problems; Heat conduction; VARIATIONAL ITERATION METHOD; PARABOLIC EQUATIONS; DIFFUSION; PROPERTY;
D O I
10.1108/HFF-01-2013-0029
中图分类号
O414.1 [热力学];
学科分类号
摘要
Purpose - The purpose of this paper is to introduce an effective method for two-dimensional inverse heat conduction problems. Design/methodology/approach - The variational iteration method (VIM) is used to solve two-dimensional inverse heat conduction problems and restore boundary conditions in heat conduction. Findings - Numerical results compared with other methods show that the present method is remarkably effective for solving two-dimensional inverse heat conduction problems. This method is a very promoting method, which will be certainly found wide applications. Originality/value - The VIM is applied to two-dimensional inverse heat conduction problems for the first time.
引用
收藏
页码:190 / 198
页数:9
相关论文
共 50 条
  • [41] A DIRECT ANALYTIC APPROACH FOR SOLVING TWO-DIMENSIONAL LINEAR INVERSE HEAT-CONDUCTION PROBLEMS
    ALNAJEM, NM
    OZISIK, MN
    WARME UND STOFFUBERTRAGUNG-THERMO AND FLUID DYNAMICS, 1986, 20 (02): : 89 - 96
  • [42] DIRECT ANALYTIC APPROACH FOR SOLVING TWO-DIMENSIONAL LINEAR INVERSE HEAT CONDUCTION PROBLEMS.
    Alnajem, N.M.
    Ozisik, M.N.
    Warme- und Stoffubertragung Zeitschrift, 1986, 20 (02): : 97 - 104
  • [43] Am input estimation approach to on-line two-dimensional inverse heat conduction problems
    Tuan, PC
    Ji, CC
    Fong, LW
    Huang, WT
    NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 1996, 29 (03) : 345 - 363
  • [44] A New Method for Solving Two-dimensional Transient Nonlinear Inverse Heat Conduction Problems for Inverting Hybrid Multi Parameters
    Zhang B.
    Mei J.
    Zhang C.
    Peng H.
    Cui M.
    Gao X.
    Zhongguo Dianji Gongcheng Xuebao/Proceedings of the Chinese Society of Electrical Engineering, 2020, 40 (01): : 156 - 164
  • [45] Real time solution for inverse heat conduction problems in a two-dimensional plate with multiple heat fluxes at the surface
    Najafi, Hamidreza
    Woodbury, Keith A.
    Beck, James V.
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2015, 91 : 1148 - 1156
  • [46] Estimation of time-dependent heat flux and measurement bias in two-dimensional inverse heat conduction problems
    Ijaz, Umer Zeeshan
    Khambampati, Anil Kumar
    Kim, Min-Chan
    Kim, Sin
    Kim, Kyung-Youn
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2007, 50 (21-22) : 4117 - 4130
  • [47] Numerical solution of inverse heat conduction problems in two spatial dimensions
    University of Siegen, Department of Mathematics, Walter-Flex-Str. 3, 57068 Siegen, Germany
    不详
    J Inverse Ill Posed Probl, 2007, 2 (181-189):
  • [48] Numerical solution of inverse heat conduction problems in two spatial dimensions
    Reinhardt, H.-J.
    Hao, Dinh Nho
    Frohne, J.
    Suttmeier, F.-T.
    Journal of Inverse and Ill-Posed Problems, 2007, 15 (02): : 181 - 198
  • [49] Estimation of multiple heat sources in two-dimensional heat conduction problems
    Yang, CY
    JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 2005, 19 (03) : 388 - 394
  • [50] Two dimensional numerical solution for nonlinear inverse steady heat conduction
    Wang, Denggang
    Liu, Yingxi
    Li, Shouju
    Yu, Songpo
    Hsi-An Chiao Tung Ta Hsueh/Journal of Xi'an Jiaotong University, 2000, 34 (11): : 49 - 52