Theoretical solution of transient heat conduction problem inone-dimensional double-layer composite medium

来源期刊：中南大学学报(英文版)2010年第6期

论文作者：周龙 白敏丽 吕继组 崔文政

文章页码：1403 - 1408

Key words：composite medium; transient heat conduction; theoretical solution; natural eigenfunction expansion method

Abstract: To make heat conduction equation embody the essence of physical phenomenon under study, dimensionless factors were introduced and the transient heat conduction equation and its boundary conditions were transformed to dimensionless forms. Then, a theoretical solution model of transient heat conduction problem in one-dimensional double-layer composite medium was built utilizing the natural eigenfunction expansion method. In order to verify the validity of the model, the results of the above theoretical solution were compared with those of finite element method. The results by the two methods are in a good agreement. The maximum errors by the two methods appear when t (t is nondimensional time) equals 0.1 near the boundaries of ξ =1 (ξ is nondimensional space coordinate) and ξ =4. As t increases, the error decreases gradually, and when t =5 the results of both solutions have almost no change with the variation of coordinate ξ.