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Cavity flow in a porous medium driven by differential heating

机译:差热驱动的多孔介质中的腔流

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This paper describes flow through a porous medium in a two-dimensional cavity driven by differential heating of the upper surface, The lower surface and sidewalls of the cavity are thermally insulated and the main emphasis is on the case where the temperature distribution at the upper surface is monotonic, resulting in a single-cell circulation. Numerical results for general values of the Darcy-Rayleigh number R and the cavity aspect ratio L are compared with theoretical predictions for the small Darcy-Rayleigh number limit (R → 0) where the temperature field is conduction-dominated, and an approximate theory for the large Darcy-Rayleigh number limit (R → ∞) where convection is significant. In the latter case a horizontal boundary-layer structure is identified near the upper surface. This conveys fluid to the cold end of the cavity where it descends in a narrow vertical jet in the corner. The temperature is almost constant throughout the remainder of the cavity, and heat transfer arguments and boundary-layer theory are used to predict its value.
机译:本文描述了在二维空腔中通过上表面的不同加热驱动的多孔介质中的流动,空腔的下表面和侧壁是热绝缘的,主要重点是上表面温度分布的情况是单调的,导致单细胞循环。将Darcy-Rayleigh数R和腔长宽比L的一般值的数值结果与温度场为传导主导的Darcy-Rayleigh数小极限(R→0)的理论预测进行了比较,并对对流明显的大Darcy-Rayleigh数极限(R→∞)。在后一种情况下,在上表面附近识别出水平边界层结构。这会将流体输送到模腔的冷端,然后在角落的狭窄垂直射流中下降。在腔的其余部分,温度几乎恒定,传热参数和边界层理论用于预测其值。

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