Analytical study for numerical instability of steady-state heat conduction problems in exchanger tubes using degenerate kernels in the null-field boundary integral equation method
學年 112
學期 2
出版（發表）日期 2024-06-24
作品名稱 Analytical study for numerical instability of steady-state heat conduction problems in exchanger tubes using degenerate kernels in the null-field boundary integral equation method
作品名稱（其他語言）
著者 Lee, Jia-wei
單位
出版者
著錄名稱、卷期、頁數 International Journal of Heat and Mass Transfer 231,　125785
摘要 This paper not only derives an analytical solution for steady-state heat conduction problems in exchanger tubes but also can predict the location of numerical instability due to a degenerate scale in the boundary element method or the boundary integral equation method. Four shapes of the exchanger tubes including concentric annulus, eccentric annulus, confocal ellipses, and elliptical tube with a confocal crack are analytically studied by using degenerate kernels of polar, bipolar and elliptical coordinates, respectively. This work extends our prior research on numerical instability and its treatment for steady-state heat conduction problems in exchanger tubes using the dual boundary element method. Analytical solutions of the temperature field and conduction shape factor can be derived. Two main analytical tools, the degenerate kernel for the closed-form fundamental solution and the generalized Fourier expansion for the boundary densities in the null-field boundary integral equation are required. The analytical derivation process can clearly examine the occurring mechanism of numerical instability due to a zero denominator. The effectiveness of regularization techniques to promote the rank-deficiency by one to a full-rank system can be analytically examined in this paper.
關鍵字
語言 en_US
ISSN 1879-2189
期刊性質 國外
收錄於 SCI Scopus
產學合作
通訊作者 J. W. Lee and J. T. Chen
審稿制度 是
國別 GBR
公開徵稿
出版型式 ,電子版
相關連結

機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/125860 )