Application of grey prediction to inverse nonlinear heat conduction problem

被引:20
作者
Chiang, Jaw-Yeong [1 ]
Chen, Cha'o-Kuang [1 ]
机构
[1] Natl Cheng Kung Univ, Dept Mech Engn, Tainan 70101, Taiwan
关键词
grey prediction; grey model; rolling grey prediction; inverse method; prediction error; measurement error;
D O I
10.1016/j.ijheatmasstransfer.2007.05.015
中图分类号
O414.1 [热力学];
学科分类号
摘要
The purpose of this research is to estimate the thermal conductivity with the inverse method which is modified by grey prediction; herein the thermal conductivity is a nonlinear function. When the thermal conductivity is the function of position and temperature, if one would try to obtain the thermal conductivity with the inverse method, then the measuring points of the temperature shall be distributed in whole object, consequently there would be a large number of measuring points for the relevant temperatures. The method of grey prediction will be able to dramatically decrease the number of measuring points for the temperature accordingly. However, the method of grey prediction should be accompanied with the prediction errors, thus the estimation of inverse method will produce a major deviation. This paper adopts the methods of the "rolling grey prediction" and the "comparison of temperature measurement" to correct the errors of grey prediction, and then proceed the inverse method to estimate the thermal conductivity. The estimated value obtained by the proposed method and the actual value compares very well. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:576 / 585
页数:10
相关论文
共 8 条
[1]
A variable P value rolling Grey forecasting model for Taiwan semiconductor industry production [J].
Chang, SC ;
Lai, HC ;
Yu, HC .
TECHNOLOGICAL FORECASTING AND SOCIAL CHANGE, 2005, 72 (05) :623-640
[2]
DENG CL, 1996, BASIC METHOD GREY SY
[3]
DENG J, 1996, GREY PREDICTION THEO
[4]
Deng Julong, 1989, Journal of Grey Systems, V1, P1
[5]
HSIN CY, 2001, GREY SYST THEOR SEM, P305
[6]
Inverse method for estimating thermal conductivity in one-dimensional heat conduction problems [J].
Lin, JH ;
Chen, CK ;
Yang, YT .
JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 2001, 15 (01) :34-41
[7]
The boundary estimation in two-dimensional inverse heat conduction problems [J].
Yang, CY ;
Chen, CK .
JOURNAL OF PHYSICS D-APPLIED PHYSICS, 1996, 29 (02) :333-339
[8]
A linear inverse model for the temperature-dependent thermal conductivity determination in one-dimensional problems [J].
Yang, CY .
APPLIED MATHEMATICAL MODELLING, 1998, 22 (1-2) :1-9