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论文类型：期刊论文

发表时间：2010-12-01

发表刊物：JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY

收录刊物：SCIE、EI、Scopus

卷号：17

期号：6

页面范围：1403-1408

ISSN号：1005-9784

关键字：composite medium; transient heat conduction; theoretical solution; natural eigenfunction expansion method

摘要：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 tau (tau is nondimensional time) equals 0.1 near the boundaries of xi = 1 (xi is nondimensional space coordinate) and xi = 4. As tau increases, the error decreases gradually, and when tau = 5 the results of both solutions have almost no change with the variation of coordinate..