二维两层介质界面接触热阻的反辨识研究

接触热阻是研究工程传热问题的重要参数,很多工程领域都需要有效辨识出接触热阻。针对目前接触热阻辨识方法局限于一维两层介质传热,只能求出一个接触热阻单值,以及温度测点必须布置在介质温度梯度方向上等问题,采用边界元法与共轭梯度法相结合的方法,对二维两层介质界面接触热阻进行反辨识研究。该方法可以求解出随界面接触线位置变化的接触热阻,并且边界元算法只需离散边界,不需要对内部区域进行离散,因此温度测点位置可以任意选取。建立二维两层介质传热模型作为算例并进行分析:该方法可以有效求解接触热阻,但作为反辨识方法的一种同样存在不适定性,并且温度测点距离接触界面越远误差越大,采用最小二乘法对求解结果进行优化处理可以...

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Published in西北工业大学学报 Vol. 36; no. 1; pp. 28 - 34
Main Author 温晶晶;李磊涛;刘承骛;吴斌
Format Journal Article
LanguageChinese
Published 西北工业大学 航天学院,陕西 西安,710072 2018
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ISSN1000-2758

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Abstract 接触热阻是研究工程传热问题的重要参数,很多工程领域都需要有效辨识出接触热阻。针对目前接触热阻辨识方法局限于一维两层介质传热,只能求出一个接触热阻单值,以及温度测点必须布置在介质温度梯度方向上等问题,采用边界元法与共轭梯度法相结合的方法,对二维两层介质界面接触热阻进行反辨识研究。该方法可以求解出随界面接触线位置变化的接触热阻,并且边界元算法只需离散边界,不需要对内部区域进行离散,因此温度测点位置可以任意选取。建立二维两层介质传热模型作为算例并进行分析:该方法可以有效求解接触热阻,但作为反辨识方法的一种同样存在不适定性,并且温度测点距离接触界面越远误差越大,采用最小二乘法对求解结果进行优化处理可以有效提高辨识精度和稳定性。
AbstractList 接触热阻是研究工程传热问题的重要参数,很多工程领域都需要有效辨识出接触热阻。针对目前接触热阻辨识方法局限于一维两层介质传热,只能求出一个接触热阻单值,以及温度测点必须布置在介质温度梯度方向上等问题,采用边界元法与共轭梯度法相结合的方法,对二维两层介质界面接触热阻进行反辨识研究。该方法可以求解出随界面接触线位置变化的接触热阻,并且边界元算法只需离散边界,不需要对内部区域进行离散,因此温度测点位置可以任意选取。建立二维两层介质传热模型作为算例并进行分析:该方法可以有效求解接触热阻,但作为反辨识方法的一种同样存在不适定性,并且温度测点距离接触界面越远误差越大,采用最小二乘法对求解结果进行优化处理可以有效提高辨识精度和稳定性。
TK124; 接触热阻是研究工程传热问题的重要参数,很多工程领域都需要有效辨识出接触热阻.针对目前接触热阻辨识方法局限于一维两层介质传热,只能求出一个接触热阻单值,以及温度测点必须布置在介质温度梯度方向上等问题,采用边界元法与共轭梯度法相结合的方法,对二维两层介质界面接触热阻进行反辨识研究.该方法可以求解出随界面接触线位置变化的接触热阻,并且边界元算法只需离散边界,不需要对内部区域进行离散,因此温度测点位置可以任意选取.建立二维两层介质传热模型作为算例并进行分析:该方法可以有效求解接触热阻,但作为反辨识方法的一种同样存在不适定性,并且温度测点距离接触界面越远误差越大,采用最小二乘法对求解结果进行优化处理可以有效提高辨识精度和稳定性.
Abstract_FL Thermal contact resistance(TCR)is one of the important parameters in heat transfer problems of engi-neering,and it is necessary to estimate the value of TCR effectively in many engineering fields.Considering the lim-itation of current estimation methods of TCR such as only focusing on one-dimensional thermal conduction,getting a single value of TCR merely,and the temperature measuring points only being placed in temperature gradient direc-tion of mediums,boundary element method(BEM)and conjugate gradient method are combined to estimate the TCR in planar mediums. The value of TCR in relation to the position of contact interface line is estimated with this method,and the positions of temperature measuring points can be selected randomly because of the characteristic of BEM that there is no necessity to discrete the inner area and it is sufficient to discrete the boundary. The analysis of calculation examples base on heat transfer model of planar medium demonstrates that:this method can estimate the TCR effectively,but the ill-posedness is also existed in this method which is one of the inverse problems,and the calculation error of TCR is increased with the distance from temperature measuring points to contact interface, the estimation precision and stability can be improved after optimization with least square method.
Author 温晶晶;李磊涛;刘承骛;吴斌
AuthorAffiliation 西北工业大学航天学院,陕西西安710072
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Author_FL Wu Bin
Li Leitao
Liu Chengwu
Wen Jingjing
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DocumentTitleAlternate Study on Thermal Contact Resistance Estimation in Planar Medium
DocumentTitle_FL Study on Thermal Contact Resistance Estimation in Planar Medium
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Keywords 接触热阻
边界元法
thermal contact resistance
boundary element method
二维热传导
最小二乘法
least square method
two-dimensional conduction
conjugate gradient method
共轭梯度法
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Notes Wen Jingjing, Li Leitao, Liu Chengwu, Wu Bin ( School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, China)
thermal contact resistance; two-dimensional conduction; boundary element method; conjugate gradient method; least square method
61-1070/T
Thermal contact resistance(TCR) is one of the important parameters in heat transfer problems of engineering, and it is necessary to estimate the value of TCR effectively in many engineering fields. Considering the limitation of current estimation methods of TCR such as only focusing on one-dimensional thermal conduction, getting a single value of TCR merely, and the temperature measuring points only being placed in temperature gradient direction of mediums, boundary element method (BEM) and conjugate gradient method are combined to estimate the TCR in planar mediums. The value of TCR in relation to the position of contact interface line is estimated with this method, and the positions of temperature measuring points can be selected randomly because
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SubjectTerms 二雏热传导
共轭梯度法
接触热阻
最小二乘法
边界元法
Title 二维两层介质界面接触热阻的反辨识研究
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