Inverse analysis of heat conduction problems with relatively long heat treatment

被引:13
作者
Lee, Sen-Yung [1 ]
Yan, Qian-Zhi [1 ]
机构
[1] Natl Cheng Kung Univ, Dept Mech Engn, Tainan 701, Taiwan
关键词
Inverse heat conduction; Shifting function method; Half-range expansions; Least-squares method; HOT SURFACE; TEMPERATURE;
D O I
10.1016/j.ijheatmasstransfer.2016.10.003
中图分类号
O414.1 [热力学];
学科分类号
摘要
This paper proposes a solution method for one-dimensional inverse heat conduction problems that require a relatively long time. A hybrid technique is applied to analyze laser surface heating and spray cooling on a hot surface. In the present study, the unknown temperature in half-range expansions form is assumed, and the shifting function method is used to obtain an analytic solution. The coefficients of the half-range expansions could be determined with the least-squares method in conjunction with the analytic solution and measured temperatures. Mathematical and experimental examples are given to illustrate the analyses. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:401 / 410
页数:10
相关论文
共 19 条
[1]  
Alifanov O. M., 1994, INVERSE HEAT TRANSFE, P5
[2]  
[Anonymous], 1968, Boundary Value Problems of Heat Conduction, Scranton,
[3]  
Beck J. V., 1982, Numerical Heat Transfer, V5, P275, DOI 10.1080/10407788208913448
[4]  
Beck J. V., 1985, INVERSE HEAT CONDUCT, P134
[5]   SURFACE HEAT FLUX DETERMINATION USING AN INTEGRAL METHOD [J].
BECK, JV .
NUCLEAR ENGINEERING AND DESIGN, 1968, 7 (02) :170-&
[6]   Estimation of spray cooling characteristics on a hot surface using the hybrid inverse scheme [J].
Chen, Han-Taw ;
Lee, Hung-Chih .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2007, 50 (13-14) :2503-2513
[7]   The effect of dissolving salts in water sprays used for quenching a hot surface: Part 2 - Spray cooling [J].
Cui, W ;
Chandra, S ;
McCahan, S .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2003, 125 (02) :333-338
[8]   PREDICTION OF TRANSIENT TEMPERATURE DISTRIBUTIONS WITH EMBEDDED THERMOCOUPLES [J].
IMBER, M ;
KHAN, J .
AIAA JOURNAL, 1972, 10 (06) :784-+
[9]   An analytical solution for out-of-plane deflection of a curved Timoshenko beam with strong nonlinear boundary conditions [J].
Lee, S. Y. ;
Yan, Q. Z. .
ACTA MECHANICA, 2015, 226 (11) :3679-3694
[10]   Inverse analysis of spray cooling on a hot surface with experimental data [J].
Lee, Sen Yung ;
Huang, Tsung Wen .
INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2016, 100 :145-154