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yt.yutian.金虫 (小有名气)
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[求助]
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The microfluidic channels with large width to depth ratios (e.g., the expanded channel) can be approximated as two closely spaced parallel plates similar to a Hele-Shaw cell. At low Reynolds numbers, the depth averaged Navier-Stokes equation reduces to the Laplace equation for pressure (Darcy’s law). This equation is a potential flow equation and based on this assumption, the streamlines will linearly expand with the channel dimensions. Nearly linear amplification of streamlines has also been experimentally observed by Yamada et al.,39 and therefore, the distance between the particle centers in the broadened section is given as where a is the aspect ratio of the device defined as the ratio of broadened section width and pinched section width (wb/wp) and ¢dp is the difference of the particle diameters. |
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yt.yutian.(金币+10, 翻译EPI+1): 谢谢 2011-05-28 21:37:51
| The microfluidic channels with large width to depth ratios (e.g., the expanded channel) can be approximated as two closely spaced parallel plates similar to a Hele-Shaw cell. 具有大的宽度/深度比的微流通道(即扩散通道)可以大致看作与Hele-Shaw 小室类似的两个密集排列的平行板。At low Reynolds numbers, the depth averaged Navier-Stokes equation reduces to the Laplace equation for pressure (Darcy’s law). 在低的雷诺数,平均深度Navier-Stokes 方程式演变为压力Laplace方程式。 This equation is a potential flow equation and based on this assumption, the streamlines will linearly expand with the channel dimensions. 这个方程式是潜流方程式,基于此假设,流线将随通道尺寸线性扩展。 Nearly linear amplification of streamlines has also been experimentally observed by Yamada et al.,39 and therefore, the distance between the particle centers in the broadened section is given as where a is the aspect ratio of the device defined as the ratio of broadened section width and pinched section width (wb/wp) and ¢dp is the difference of the particle diameters. 流线的近线性扩增也确实由Yamada在试验中观测到,因而,当a表示设备的纵横比(定义为扩宽部分宽度和缩紧部分宽度之比wb/wp),¢dp表示粒子直径的差异时,扩宽部分的粒子中心间的距离被给定。 |
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