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題 名 | A Reinvestigation of Laminar Channel Flow Passing over Porous Bed=渠道層流流越多孔底床之再探討 |
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作 者 | 黃良雄; 江憶玲; 宋長虹; | 書刊名 | 中國工程學刊 |
卷 期 | 20:4 1997.07[民86.07] |
頁 次 | 頁435-441 |
分類號 | 443.1 |
關鍵詞 | 層流; 剛性多孔底床; 渠流; Laminar shear flow; Rigid porous bed; Channel flow; |
語 文 | 英文(English) |
中文摘要 | 本文重新探討具有多孔底床之渠道內的層流問題。問題類似雙層Poiseuille流; 上層是均質流體,下層則是剛性多孔介質流。上層均質流場是由Navier-Stokes方程式代入 完全發展渠流的條件所控制,下層多孔介質流場則由Song[7]所推導的多孔介質層流方程式 引入簡化條件所控制。本文所獲得的解析解不僅能提供較依據Darcy定律所得更合理之速度 剖面,亦能清楚地闡明Beavers and Joseph[1]的部份滑移邊界條件。我們進一步發現當多 孔底床厚度除以比滲透係數的開平方趨近於無限大時,部份滑移邊界條件中的無因次參數α 只是孔隙率n0的簡單函數;即α=1/□。 |
英文摘要 | Laminar shear flows in channels with porous media bed are reinvestigated in the present study. The problem is similar to multiple-layered Poiseuille flow; the upper layer is homogeneous fluid, while the lower layer is rigid porous media flow. The conventional Navier-Stokes equation simplified by the fully developed channel flow condition is used to deal with the upper layer flow. The governing equation of laminar porous media flow derived in Song [7] is simplified and applied to the porous media bed. The analytical solution obtained in this study not only provides more reasonable fluid velocity inside the porous media bed than the one Darcy's law gives, but is also capable of clearly describing the partial-slip boundary condition given in Beavers and Joseph [1]. We further find that when the thinickness of the porous media bed divided by the square root of specific perme- ability approaches infinity, the nondimensional parameterαin the partial-slip boundary condition is only a function of porosity; i.e. α=1/□. |
本系統中英文摘要資訊取自各篇刊載內容。