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    Please use this identifier to cite or link to this item: http://ccur.lib.ccu.edu.tw/handle/A095B0000Q/300


    Title: 方向y壓力梯度達西流流經崎嶇通道;Darcy Flow Through a Bumpy Channel due to the Y-direction Pressure Gradient
    Authors: 陳昆蘭;Chen, Kun-Lan
    Contributors: 數學系應用數學研究所
    Keywords: 達西流;Darcy flow;Perturbation method
    Date: 2017
    Issue Date: 2019-07-17
    Publisher: 數學系應用數學研究所
    Abstract: 研究了通過具有顛簸壁的通道夾帶多孔介質由方向y壓力梯度引起的流動。 該問題模擬微流體,其中由於通道寬度較小,板子的表面粗糙度被放大。 我們使用擾動方法來求解達西方程。 一階擾動解決方案給出了波動的三維速度反應,二次擾動解決方案由於粗糙度而增加了阻力。 我們的解決方案給出了多孔崎嶇通道的流量或相反的阻力。
    The forced flow due to the y-direction pressure gradient through a channel with bumpy walls which sandwich a porous medium is studied. The problem models micro-fluidics where, due to the small size of the channel width, the surface roughness of the walls is amplified. We use perturbation method to solve the Darcy equation. The first-order perturbation solutions give the three-dimensional velocity effects of the bumpiness and the second-order perturbation solutions give the increased resistance due to the roughness. Our solutions give the flow rate, or inversely the resistance, of the porous bumpy channel.
    Appears in Collections:[應用數學研究所] 學位論文

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