Abstract In this study, the instantaneous and time-averaged fin efficiencies of a convective fin subjected to sinusoidal, triangular and square periodic base temperatures is assessed with Fourier and non-Fourier models using Spectral-Finite volume approach. Validation of the used approach is performed by comparison of current results with those of an available work and good agreement is observed. It is shown that the maximum instantaneous fin efficiencies of sinusoidal and triangular stimulations depend on the model used for heat transfer and are more sensitive to the change in the relaxation time than the square disturbance. For Fourier model, the time-averaged fin efficiency changes as the disturbance frequency varies while for non-Fourier behavior, dependency of time-averaged fin efficiency to the disturbance frequency is observed within a specific range of disturbance frequency. Square disturbance along with non-Fourier model predicts a higher value for the time-averaged fin efficiency than the other disturbances especially at high relaxation times, disturbance frequencies and amplitudes. In non-Fourier fin model, time-averaged fin efficiency is independent of relaxation time at very low disturbance frequencies. Fourier and non-Fourier models result in a same time-averaged fin efficiency at low disturbance amplitudes whereas non-Fourier model leads to higher time-averaged fin efficiency at high disturbance amplitudes.

中文翻译：

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采用傅立叶和非傅立叶热传导模型对不同周期基温下翅片性能的数值研究

摘要 在这项研究中，使用谱有限体积法，通过傅立叶和非傅立叶模型评估了受正弦、三角形和方形周期性基础温度影响的对流翅片的瞬时和时间平均翅片效率。通过将当前结果与可用工作的结果进行比较来验证所使用的方法，并观察到良好的一致性。结果表明，正弦和三角形刺激的最大瞬时翅片效率取决于用于传热的模型，并且对弛豫时间的变化比平方扰动更敏感。对于傅立叶模型，时间平均鳍效率随着扰动频率的变化而变化，而对于非傅立叶行为，在干扰频率的特定范围内观察到时间平均鳍效率对干扰频率的依赖性。平方扰动和非傅立叶模型预测了比其他扰动更高的时间平均鳍效率值，尤其是在高弛豫时间、扰动频率和幅度下。在非傅立叶鳍片模型中，时间平均鳍片效率在极低扰动频率下与弛豫时间无关。傅立叶和非傅立叶模型在低扰动幅度下产生相同的时间平均鳍效率，而非傅立叶模型在高扰动幅度下导致更高的时间平均鳍效率。平方扰动和非傅立叶模型预测了比其他扰动更高的时间平均鳍效率值，尤其是在高弛豫时间、扰动频率和幅度下。在非傅立叶鳍片模型中，时间平均鳍片效率在非常低的干扰频率下与弛豫时间无关。傅立叶和非傅立叶模型在低扰动幅度下产生相同的时间平均鳍效率，而非傅立叶模型在高扰动幅度下导致更高的时间平均鳍效率。平方扰动和非傅立叶模型预测了比其他扰动更高的时间平均鳍效率值，尤其是在高弛豫时间、扰动频率和幅度下。在非傅立叶鳍片模型中，时间平均鳍片效率在极低扰动频率下与弛豫时间无关。傅立叶和非傅立叶模型在低扰动幅度下产生相同的时间平均鳍效率，而非傅立叶模型在高扰动幅度下导致更高的时间平均鳍效率。