Identification of boundary conditions for non-Fourier heat conduction problems by differential transformation DRBEM and improved cuckoo search algorithm

被引:7
作者
Chen, Haolong [1 ]
Zhou, Huanlin [1 ]
机构
[1] Hefei Univ Technol, Sch Civil Engn, Hefei 230009, Anhui, Peoples R China
基金
中国国家自然科学基金;
关键词
INVERSE PROBLEM; ELEMENT METHOD; OPTIMIZATION; TEMPERATURE; FLUX; CONVECTION; MODEL; SLAB; FINS;
D O I
10.1080/10407790.2019.1591859
中图分类号
O414.1 [热力学];
学科分类号
摘要
The differential transformation method is combined with the dual reciprocity boundary element method to solve the non-Fourier heat conduction problems in functionally gradient materials. The cuckoo search algorithm is improved by the Broyden-Fletcher-Goldfarb-Shanno algorithm to identify the boundary conditions for the heat conduction problems. The polynomial function related to coordinate and time is proposed to approximate the unknown boundary conditions. Numerical examples discuss the influences of measurement point numbers and measurement errors on inverse solutions. Numerical results demonstrate the effectiveness and accuracy of the proposed method.
引用
收藏
页码:818 / 839
页数:22
相关论文
共 46 条
[1]   Analytical study on the transient heating of a two-dimensional skin tissue using parabolic and hyperbolic bioheat transfer equations [J].
Askarizadeh, Hossein ;
Ahmadikia, Hossein .
APPLIED MATHEMATICAL MODELLING, 2015, 39 (13) :3704-3720
[2]   A dual reciprocity BE-based sequential function specification solution method for inverse heat conduction problems [J].
Behbahani-Nia, A ;
Kowsary, F .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2004, 47 (6-7) :1247-1255
[3]  
Chen H. C., 2018, NUMER HEAT TRANSFE B, V73, P1
[4]   Identification of transient boundary conditions with improved cuckoo search algorithm and polynomial approximation [J].
Chen, Hao-long ;
Yu, Bo ;
Zhou, Huan-lin ;
Meng, Zeng .
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2018, 95 :124-141
[5]   Numerical method for hyperbolic inverse heat conduction problems [J].
Chen, HT ;
Peng, SY ;
Yang, PC ;
Fang, LC .
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2001, 28 (06) :847-856
[6]   Inverse identification of boundary conditions in a scramjet combustor with a regenerative cooling system [J].
Cui, Miao ;
Mei, Jie ;
Zhang, Bo-Wen ;
Xu, Bing-Bing ;
Zhou, Ling ;
Zhang, Yuwen .
APPLIED THERMAL ENGINEERING, 2018, 134 :555-563
[7]   Estimation of slab surface radiative emissivities by solving an inverse coupled conduction, convection, and radiation problem [J].
Cui, Miao ;
Zhou, Ling ;
Mei, Jie ;
Zhang, Bowen .
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 2017, 72 (10) :765-779
[8]   HYPERBOLIC HEAT-CONDUCTION WITH SURFACE RADIATION [J].
GLASS, DE ;
OZISIK, MN ;
VICK, B .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1985, 28 (10) :1823-1830
[9]   INVERSE TRANSIENT HEAT CONDUCTION PROBLEMS OF A MULTILAYERED FUNCTIONALLY GRADED CYLINDER [J].
Haghighi, M. R. Golbahar ;
Malekzadeh, P. ;
Rahideh, H. ;
Vaghefi, M. .
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 2012, 61 (09) :717-733
[10]   An iterative regularization method in estimating the unknown energy source by laser pulses with a dual-phase-lag model [J].
Huang, Cheng-Hung ;
Lin, Chien-Yu .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2008, 76 (01) :108-126