Nonlinear Heat Transfer of a Spiral Fin with Periodic Base Temperature

週期性溫度螺旋散熱片之非線性熱傳研究

蔡國騰(Kuo-Teng Tsai) ； 賴新一(Hsin-Yi Lai) ； 簡士凱(Shih-Kai Chien) ； 陳朝光(Cha'o-Kuang Chen)

《中國機械工程學刊》 38卷5期 (2017/10) Pp. 445-451

摘要

The nonlinear heat transfer of a spiral fin with periodic base temperature is derived and presented in this article by using a proposed method of Adomian decomposition. The proposed method is practical and computational effective in solving nonlinear equations associated with heat conduction and radiation. The base temperature is periodic and fluctuated around a mean value. The results of fin temperature distribution and heat flux from spiral fin base are characterized systematically. The nonlinear heat transfer behaviors and effect of total energy transferred from spiral fin base on dimensionless fin temperature distribution are elaborated and discussed. The modeling results indicate that the proposed method is effective and widely applicable for solving various nonlinear engineering problems.

關鍵字

Nonlinear heat transfer ； periodic base temperature ； heat conduction and radiation

並列摘要

本文以Adomian decompositiom method推導週期性溫度螺旋散熱片的非線性熱傳遞方程。Adomian decompositiom method為一具有實用性及有效性可解決關於熱傳導和輻射相關的非線性方程的方法。結果顯示基礎溫度是週期性並且會在平均值上下波動，再者結果顯示螺旋散熱片底座的溫度分布及熱通量具有系統的特徵現象。接下來討論螺旋散熱片底座對於無因次散熱溫度分布關於非線性傳熱行為及總能量傳遞行為的影響。建模結果顯示Adomian decompositiom method為一有效且廣泛用於解決各種非線性工程問題的方法。