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An iterative, analytical method for solving conjugate heat transfer problems

机译：解决共轭传热问题的迭代分析方法

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摘要

Conjugate heat transfer involving convection and conduction in a fluid flow and a solid body in contact with each other occurs commonly in engineering applications. While analytical solutions for individual convection and conduction problems are relatively easier, it is a lot more challenging to solve the combined conjugate heat transfer problem. In this paper, an iterative method is developed for analytically solving conjugate heat transfer problems. Based on an initial assumption of the temperature field at the solid-fluid interface, the temperature distributions in the fluid and solid body are determined by separately solving the governing energy conservation equations in the two domains. These solutions are used to improve the initial assumption of the interface temperature until convergence. It is found that only a few iterations of this process are needed for convergence. Temperature fields computed from this analytical approach are found to be in good agreement with finite element simulation results. The iterative analytical approach is used to solve two technologically relevant problems related to internal and external flows. Given the general nature of the iterative approach, results from this paper may be helpful in solving a variety of conjugate heat transfer problems.
机译：共轭传热涉及流体中的对流和传导，并且固体相互接触在工程应用中通常会发生。尽管针对单个对流和传导问题的解析解决方案相对容易一些，但解决组合的共轭传热问题却更具挑战性。本文提出了一种迭代方法，用于分析解决共轭传热问题。基于固-液界面温度场的初始假设，通过分别求解两个域中的控制能量守恒方程来确定流体和固体中的温度分布。这些解决方案用于改善界面温度的初始假设，直到收敛为止。已经发现，该过程仅需要几次迭代即可收敛。发现用这种分析方法计算出的温度场与有限元模拟结果非常吻合。迭代分析方法用于解决与内部和外部流相关的两个技术上相关的问题。鉴于迭代方法的一般性质，本文的结果可能有助于解决各种共轭传热问题。

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