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

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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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