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在水工建筑物特別是混凝土埧的設計和施工过程中,經常会遇到导热問題,其中有些問題边界条件比較簡单,可以得到严格的数学解答,但也有些問題边界条件太复杂,在数学处理上十分困难。这种場合只能利用差分方程进行数值計算。不过关于这方面現有的导热文献只对第一类边界条件的一向导热問題有过一些简略的論述,而在水工上我們常常碰到更加复杂的两向三向問題。本文在这方面作一个較全面的讨論,包括两向和三向导热問題的全套基本公式,各种边界条件的处理以及計算的簡化,并着重地說明了在混疑土埧的几个典型的导热問題中的具体应用。
In the design and construction of hydraulic structures, especially concrete 埧, they often encounter thermal problems, some of which have relatively simple boundary conditions and can obtain rigorous mathematical solutions. However, some of them have too complicated boundary conditions. In mathematics It is very difficult to handle. This occasion can only use the difference equation for numerical calculation. However, the existing literature on thermal conductivity in this respect only briefly discusses the problem of the always-on thermal conductivity of the first type of boundary conditions. In hydraulics, we often encounter more complicated two-way and three-way problems. This paper presents a more comprehensive discussion in this area, including a complete set of basic equations for two-way and three-way heat conduction, handling of various boundary conditions and simplification of calculations, highlighting several typical The specific application of thermal conductivity.