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首页> 外文期刊>International Journal of Heat and Mass Transfer >Reduced model for characterization of solid wall effects for transient thermal dispersion in granular porous media
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Reduced model for characterization of solid wall effects for transient thermal dispersion in granular porous media

机译：表征多孔介质中瞬态热扩散的固体壁效应的简化模型

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摘要

This paper is devoted to modelling of the thermal interface condition between a solid wall and a granular porous bed through which a fluid flows. Far from the wall, the porous medium, a bed of monodisperse glass beads, is homogeneous. An average enthalpic temperature, based on spatial averaging of the local field over a representative elementary volume, is defined, and a corresponding heat equation can be derived: it uses a Darcy velocity, dispersion coefficients that depend on this velocity, and two volumetric heat capacities (fluid and solid). The presence of a solid wall modifies the local arrangement of the beads, with a porosity that varies with the distance to the wall. In a plug flow situation in the core of the bed, the local velocity becomes larger in the near-wall region, creating a channelling effect that affects the wall-to-porous medium heat transfer. This transfer is studied, for transient wall heating, using heat transfer models of increased complexity and specific analytical methods. Finally a reduced model is proposed for this channelling effect, with its advection component that modifies heat transfer between wall and core region in a way that cannot be modelled by a single heat transfer coefficient.
机译：本文致力于对固体壁和流体流过的颗粒状多孔床之间的热界面条件进行建模。远离壁的多孔介质是单分散玻璃珠床，是均匀的。基于代表元素体积上局部场的空间平均，确定平均焓温度，并可以推导相应的热方程：它使用达西速度，取决于该速度的弥散系数和两个体积热容量（流体和固体）。实心壁的存在改变了珠粒的局部排列，其孔隙率随与壁的距离而变化。在床芯的塞流情况下，局部流速在近壁区域变大，从而产生影响壁向多孔介质传热的通道效应。对于瞬态壁加热，将使用复杂性增加的传热模型和特定的分析方法研究这种传热。最后，针对此通道效应提出了简化模型，其对流分量以无法通过单个传热系数建模的方式修改壁与芯区域之间的传热。

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