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A reliable convergent Adomian decomposition method for heat transfer through extended surfaces

机译:可靠的收敛性Adomian分解方法,用于通过扩展表面进行热传递

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摘要

Purpose - This paper aims to revisite the traditional Adomian decomposition method frequently used for the solution of highly nonlinear extended surface problems in order to understand the heat transfer enhancement phenomenon. It is modified to include a parameter adjusting and controlling the convergence of the resulting Adomian series. Design/methodology/approach - It is shown that without such a convergence control parameter, some of the published data in the literature concerning the problem are lacking accuracy or the worst is untrustful. With the proposed amendment over the classical Adomian decomposition method, it is easy to gain the range of parameters guaranteeing the convergence of the Adomian series. Findings - With the presented improvement, the reliable behavior of the fin tip temperature and the fin efficiency of the most interested from practical perspective are easily predicted. Originality/value - The relevant future studies involving the fin problems covering many physical nonlinear properties must be properly treated as guided in this paper, while the Adomian decomposition method is adopted for the solution procedure.
机译:目的-本文旨在回顾传统的Adomian分解方法,该方法通常用于解决高度非线性的扩展表面问题,以了解传热增强现象。它被修改为包括一个参数,用于调整和控制所得Adomian级数的收敛性。设计/方法/方法-研究表明,没有这种收敛控制参数,文献中有关该问题的某些公开数据就缺乏准确性,或者最糟糕的情况是不可信的。通过对经典的Adomian分解方法提出的修正,很容易获得保证Adomian级数收敛的参数范围。发现-通过提出的改进,可以容易地预测出翅片尖端温度的可靠行为以及从实用角度出发最感兴趣的翅片效率。原创性/价值-涉及鳍片问题的相关未来研究应涵盖许多物理非线性特性,必须按照本文的指导进行适当处理,而求解过程应采用Adomian分解方法。

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