Phase-Change Transpiration Cooling in a Porous Medium: Determination of the Liquid/Two-Phase/Vapor Interfaces as a Problem of Eigenvalues
Phase-Change Transpiration Cooling in a Porous Medium: Determination of the Liquid/Two-Phase/Vapor Interfaces as a Problem of Eigenvalues
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DOI：
10.1007/s11242-016-0637-7
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发表时间：
2016-02
影响因子：
2.7
通讯作者：
M. Peralta;F. Méndez;O. Bautista
中科院分区：
文献类型：
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作者：
M. Peralta;F. Méndez;O. Bautista
在这项工作中，我们对多孔介质中液体冷却剂相变的蒸腾冷却进行了理论分析。多孔介质内液体的蒸发导致三个区域的出现：液体区域、两相区域和蒸气区域。这类物理问题在专业文献中得到了广泛的研究，主要贡献是基于分离相模型或使用两相混合模型。在这里，我们提出了一种新模型，可以数值确定多孔介质内部形成的三个区域的厚度。为了分析这种现象，控制方程被适当地无量纲化，其中每个区域出现合适的佩克莱特数，这些数字代表数学模型的特征值，当获得它们时，就可以找到每个区域之间界面的相对位置。
In this work, we carry out a theoretical analysis of the transpiration cooling with a liquid coolant phase change in a porous medium. The evaporation of the liquid inside the porous medium causes the appearance of three regions: a liquid region, a two-phase region and a vapor region. This kind of physical problem has been widely studied in the specialized literature and the main contributions are based on the separated phase model or by using the two-phase mixture model. Here, we propose a new model that permits to numerically determine the thickness of the three regions that are formed inside of the porous medium. To analyze this phenomenon, the governing equations were appropriately nondimensionalized, where suitable Péclet numbers for each region appear such that these numbers represent eigenvalues for the mathematical model, and when they are obtained, the relative position of the interfaces between each region is found.