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Incorrectness of conventional one-dimensional parallel thermal resistance circuit model for two-dimensional circular composite pipes

机译：二维圆形复合管传统一维并联热阻回路模型的不正确性

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摘要

This study is to prove that two-dimensional steady state heat transfer problems of composite circular pipes cannot be appropriately solved by the conventional one-dimensional parallel thermal resistance circuits (PTRC) model because its interface temperatures are not unique. Thus, the PTRC model is definitely different from its conventional recognized analogy, parallel electrical resistance circuits (PERC) model, which has unique node electric voltages. Two typical composite circular pipe examples are solved by CFD software, and the numerical results are compared with those obtained by the PTRC model. This shows that the PTRC model generates large error. Thus, this conventional model, introduced in most heat transfer text books, cannot be applied to two-dimensional composite circular pipes. On the contrary, an alternative one-dimensional separately series thermal resistance circuit (SSTRC) model is proposed and applied to a two-dimensional composite circular pipe with isothermal boundaries, and acceptable results are returned.
机译：这项研究是为了证明复合圆管的二维稳态传热问题不能通过常规的一维并联热阻回路（PTRC）模型来解决，因为它的界面温度不是唯一的。因此，PTRC模型与它的传统公认类比，并联电阻电路（PERC）模型绝对不同，后者具有独特的节点电压。用CFD软件求解了两个典型的复合圆管实例，并将数值结果与PTRC模型获得的数值进行了比较。这表明PTRC模型会产生较大的误差。因此，大多数传热教科书中引入的这种常规模型不能应用于二维复合圆管。相反，提出了一种替代的一维单独串联热阻电路（SSTRC）模型，并将其应用于具有等温边界的二维复合圆管，并且返回了可接受的结果。

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