The Finite Element Method in Heat Transfer Analysis

The Finite Element Method in Heat Transfer Analysis
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DOI:
10.1088/0957-0233/8/9/017
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发表时间:
1997-09
影响因子:
2.4
通讯作者:
W Schweiger
W Schweiger
中科院分区:
工程技术3区
文献类型:
--
作者:
W Schweiger

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作者已成功地写了一本书的数值处理传热这是适当的工业工程的目的,以及工程专业的学生。这一成功有四个主要原因。当然,在这个问题上有非常强大的软件包,但如果没有理论背景的基本知识,使用这些程序是没有意义的。重要的是建模和对结果的解释,这只能通过对基本理论的透彻了解来实现。这是第一个原因:这本书包含了必要的理论基础物理以及有限元公式。第二个原因是传热问题处理的完整性。固体传热,传导传热(拉格朗日描述)和流体传热,对流传热(欧拉描述)处理的稳态和瞬态过程。对各种时间步进方法和数值稳定性的详细讨论有助于工程师选择和判断适合他应用的方法。非线性效应(随温度变化的热导率)和相变问题考虑到的方式,显示了作者在这些领域的多年经验。特别是,作为一个奇异的前移动通过一个连续的相位变化有关的问题进行了详细的解释,从而使分析师对这些现象有很好的洞察力。第三个原因是大量的例子,足够简单,可以手动处理,但很好地选择了在不同的分析领域显示不同的效果。当然,当使用新的或未知的代码时,这样的例子也非常有用。最后,第四个原因来自于本书所讨论的真实的工程问题。为了提高生产率,绝对有必要坚持预测工程的理念,从而通过数字模型创建虚拟产品,并且只有对现象的基本理论有基本知识才有可能。从这个意义上说,这本书确实是一个宝贵的资源。我一定会把这本书推荐给我的学生。
The authors have succeeded in writing a book on numerical treatment of heat transfer which is appropriate for industrial engineering purposes as well as for engineering students. There are four main reasons for this success. Of course there are very powerful software packages on this subject, but without the fundamental knowledge of the theoretical background it does not really make sense to use these programs. It is the modelling and the interpretation of the results that is important, and this can only be achieved by a thorough knowledge of the underlying theory. This is reason number one: the book contains the necessary theory of the basic physics as well as the finite element formulation. Reason number two is the completeness of the treatment of heat transfer problems. Heat transfer in solids, conductive heat transfer (Lagrangian description) and heat transfer in fluids, convective heat transfer (Eulerian description) are treated both for steady state and for transient processes. A detailed discussion on various time-stepping methods and on numerical stability helps the engineer to choose and to judge a suitable method for his application. Nonlinear effects (temperature-dependent thermal conductivity) and phase-change problems are taken into account in a way that shows the long years experience of the authors in these fields. In particular, the problems concerned with phase change as a singular front moves through a continuum are explained in detail, thus giving the analyst a good insight into these phenomena. Reason number three is the large number of examples, simple enough to be treated manually but nicely chosen to show different effects in different fields of analysis. Of course such examples are also highly useful as benchmarks when using a new or unknown code. Finally, reason number four stems from the real engineering problems treated in this book. For improving productivity, it is absolutely necessary to stick to the philosophy of predictive engineering, thus creating virtual products by means of digital mock-up, and again this is only possible with a fundamental knowledge of the basic theory of a phenomenon. In this sense the book is indeed a valuable resource. I will definitely recommend this book to my students.