Heat Conduction in Functionally Graded Circular Hollow Cylinders with General Time-dependent Boundary Conditions

非均勻中空圓柱在廣義時變性邊界條件下之熱傳導問題

李森墉(Sen-Yung Lee) ； 黃志誠(Chih-Cheng Huang)

《中國機械工程學刊》 35卷1期 (2014/02) Pp. 19-28

摘要

本文提出一不需積分轉換，而能求取非均勻中空圓柱在廣義時變性邊界條件下之熱傳導問題的精確解的方法。當中空圓柱之熱傳導和比熱係數均為可以冪函數展開之解析函數時，本文推導出其確切解。最後，將討論極限問題並以數值分析來說明與驗證本分析方法的準確性和效率。

並列摘要

An analytic solution method, without integral transformation, is proposed to develop exact solutions for transient heat conduction in functionally graded circular hollow cylinders with general time-dependent boundary conditions. It is shown that if the thermal conductivity and the specific heat of the medium are in arbitrary polynomial function forms, the exact solutions of the system can be developed. The influences of physical properties on the heat conduction behavior of the system are studied. Finally, limiting studies and numerical analyses are given to illustrate the efficiency and the accuracy of the analysis.

並列關鍵字

heat conduction ； analytical solution ； non-uniform hollow cylinder ； general time-dependent boundary conditions