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在微通道二维简化模型下,通过控制方程的无量纲化处理,对空气在滑移区稀薄性影响下的流动特性进行了研究与数值分析。研究结果表明,泊肃叶数( Po数)在进口与出口处较大,沿程其他位置的 Po数为定值。随着克努森数( K n数)的增加,稀薄性增强,壁面滑移变大,Po数减小。文中给出 Po数的一维理论表达式,发现该公式与实验值较吻合。最后,通过对比验证表明,平均努塞尔数(Nu数)随着 Kn数的增加而减小。  相似文献   
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[Objective]To meet the efficient thermal management needs of electronic devices such as ships and underwater vehicles, this study focuses on the constructal design of a tree-shaped microchannel disc heat sink with wavy walls. [Method]A design prototype of the heat sink with wavy walls is first proposed. Based on constructal theory, the amplitude and wavelength of the wavy walls are designed under the constraints of fixed heat sink volume and fixed microchannel volume by maximizing the comprehensive performance evaluation criteria (PEC) while considering both heat transfer and flow pressure drop. [Results]The results show that the wavy walls increase the heat transfer surface areas and generate vortices in their cavities, effectively reducing the maximum temperature. When the inlet Reynolds number is fixed at 700, 900 or 1100 respectively, the maximum temperature is reduced by 13.5 K by increasing the amplitude of the wavy walls, while the pressure drop increases significantly; and the maximum temperature is reduced by 4.7 K by reducing the wavelength of the wavy walls, while the pressure drop increases slightly. There are optimal amplitudes that raise the comprehensive performance evaluation criteria to extreme values for given larger wavelengths, while the comprehensive performance evaluation criteria increase monotonously as the amplitude increases for given smaller wavelengths. [Conclusion]Wavy walls can significantly improve the thermal performance of tree-shaped microchannel disc heat sinks, and the use of constructal design can realize optimal geometric constructs with optimal comprehensive performance evaluation criteria. © 2023 Authors. All rights reserved.  相似文献   
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