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A double decomposition method for solving the periodic base temperature in convective longitudinal fins

机译：对流纵向鳍片中周期性基准温度的双重分解法。

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摘要

In this paper, the double decomposition method is used not only in analyzing the oscillating base temperature processes occurring in a convective rectangular fin with variable thermal conductivity, but also in determining the temperature distribution within the fin. It is a useful and practical method, which can be used to solve the nonlinear transient energy equations which are associated with variable thermal conductivity. The periodic condition assumes the oscillating base temperature around a mean value; the obtained double decomposition analytic solution is in the form of an infinite power series. Thus, results including the fin tip temperature, the fin base oscillating temperature, and the fin's temperature distribution can all be calculated directly without the need of iteration. Results also indicate that the series has high accuracy by comparing with those generated by the complex combination method.
机译：在本文中，双重分解方法不仅用于分析导热性可变的对流矩形翅片中发生的振荡基温过程，而且还用于确定翅片内的温度分布。这是一种有用且实用的方法，可用于求解与可变热导率相关的非线性暂态能量方程。周期性条件假设振荡基准温度在平均值附近；所得的双分解解析解为无穷大幂级数形式。因此，包括翅片尖端温度，翅片基体振荡温度和翅片的温度分布在内的结果都可以直接计算，而无需迭代。结果还表明，与通过复杂组合方法生成的序列相比，该序列具有较高的准确性。

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