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Analytical solution for filmwise condensation in confined high-aspect ratio geometry

机译:有限高长宽比几何形状中薄膜冷凝的解析解

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This study revisits the problem of free vapor condensation in the filmwise regime by constructing and solving a comprehensive transport model that describes heat and mass transport through the gas phase, interfacial and thermal resistance of the condensate film, and heat conduction through the cooled wall in a self-consistent manner. We have shown that it is possible to obtain an analytical solution of the model which describes the net condensation flux in the presence of an arbitrary amount of noncondensables. This solution demonstrates that the overall thermal resistance reduces to a sum of the thermal resistances of the wall, the condensate film, the interfacial resistance, and the diffusive resistance of the gas layer only in the limit of infinite thermal resistance of the gas layer, but generally has a more complicated form. Finally, we derived an analytical solution for the condensate film thickness profile which generalizes Nusselt's classical free condensation solution. Both finite thermal conductivity of the wall and thermocapillary stresses were shown to play an important role, substantially altering the thickness profile. (C) 2019 Elsevier Ltd. All rights reserved.
机译:这项研究通过构建和解决一个综合的运输模型来重新审视薄膜状态下的自由蒸汽冷凝问题,该模型描述了通过气相的热和质量的运输,冷凝膜的界面和热阻以及通过冷却壁的热传导。自洽的方式。我们已经表明可以获得模型的解析解,该解析解描述了在存在任意数量的非冷凝物的情况下的净冷凝通量。该解决方案表明,仅在气体层的无限热阻的极限下,总热阻才减小至壁的热阻,冷凝膜,界面电阻和扩散层的热阻之和,但是通常具有更复杂的形式。最后,我们推导出了凝析液膜厚分布的解析解,它概括了Nusselt的经典自由凝结解。壁的有限热导率和热毛细应力均显示出重要的作用,大大改变了厚度轮廓。 (C)2019 Elsevier Ltd.保留所有权利。

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