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Utilization of orthotropic graphite plates in plate heat exchangers, analytical modeling

机译：正交各向异性石墨板在板式换热器中的应用，分析模型

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摘要

Recently developed graphite plates with large in-plane thermal conductivity are considered as promising alternative to conventional metallic plate heat exchangers (PHE). A new analytical model is developed to study the impact, and the potentials, of the emerging orthotropic graphite-based plates in PHE under various convective regimes. Closed-form relationships are obtained for temperature and heat flux distributions, and applied to perform a comprehensive parametric study on the orthotropic conductivity effects. Our results show that increasing the in-plane thermal conductivity leads to significant changes in heat flow pattern and reduction in temperature variation along the plate. In spite of the remarkable effects of in-plane thermal conductivity on the heat flow pattern, through-plane thermal conductivity plays the key role in controlling the total heat transfer between the hot and cold fluid streams through the plate. Moreover, a new critical through-plane conductivity is proposed to calculate the maximum value of thermal conductivity that provides the highest heat transfer rate through orthotropic slabs. The critical value also includes convective heat transfer resistance of the fluid side and the plate thickness effects. To verify the present model, an independent numerical study is conducted using COMSOL Multiphysics. The analytical results are compared with the obtained numerical data as well as an existing data set in the literature and show a great agreement with less than 5% relative difference.
机译：最近开发的具有大的面内导热率的石墨板被认为是常规金属板式热交换器（PHE）的有希望的替代品。开发了一种新的分析模型，以研究在各种对流方式下新兴的正交各向异性石墨基板在PHE中的影响和潜力。获得温度和热通量分布的闭合形式关系，并将其用于对正交各向异性电导率效应进行全面的参数研究。我们的结果表明，增加面内热导率会导致热流模式发生重大变化，并导致沿板的温度变化减少。尽管平面内热导率对热流模式有显着影响，但平面内热导率在控制通过板的热流体流和冷流体流之间的总热传递中起着关键作用。此外，提出了一种新的临界通面电导率，以计算通过正交各向异性板提供最高传热速率的热导率最大值。临界值还包括流体侧的对流传热阻力和板厚效应。为了验证本模型，使用COMSOL Multiphysics进行了独立的数值研究。将分析结果与获得的数值数据以及文献中的现有数据集进行比较，并显示出相差小于5％的很好的一致性。

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