多孔介质中热驱动的浅空腔流动:合并层结构

P. Daniels, P. Simpkins, P. Blythe
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引用次数: 10

摘要

分析了施加水平温度梯度的矩形浅腔内对流运动;所述空腔内填充有流体饱和多孔介质。对于大瑞利数R和大宽高比L,当R = 0 (L2)时出现明显的极限。在这个极限下,水平壁上的边界层合并并完全填充空腔。该系统的特点是非平行的核心流,在参数R/L 2的大范围内提供主导结构。将合并层核的新结果与平行流动对流主导的边界层极限R/L2→∞和平行流动扩散主导的极限R/L2→0进行了比较。传热计算,定义了努塞尔数对R/L2的依赖关系,也进行了。
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Thermally driven shallow cavity flows in porous media: the merged-layer régime
An analysis is given of convective motions generated in a shallow rectangular cavity by an applied horizontal temperature gradient; the cavity is filled with a fluid-saturated porous medium. For large Rayleigh numbers R, and for large aspect ratios L, a distinguished limit arises when R = O(L2). In this limit the boundary layers on the horizontal walls merge and completely fill the cavity. The régime is characterized by a non-parallel core flow that provides the dominant structure over a surprisingly wide range of the parameter R/L 2. New results for the merged layer core are compared with the parallel flow convection-dominated boundary layer limit R/L2 → ∞, and with the parallel flow diffusion-dominated limit R/L2 → 0. Heat transfer calculations, which define the dependence of the Nusselt number on R/L2, have also been carried out.
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