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yt.yutian.金蟲 (小有名氣)
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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. |
至尊木蟲 (職業(yè)作家)
| 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. 具有大的寬度/深度比的微流通道(即擴(kuò)散通道)可以大致看作與Hele-Shaw 小室類似的兩個(gè)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). 在低的雷諾數(shù),平均深度Navier-Stokes 方程式演變?yōu)閴毫aplace方程式。 This equation is a potential flow equation and based on this assumption, the streamlines will linearly expand with the channel dimensions. 這個(gè)方程式是潛流方程式,基于此假設(shè),流線將隨通道尺寸線性擴(kuò)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. 流線的近線性擴(kuò)增也確實(shí)由Yamada在試驗(yàn)中觀測(cè)到,因而,當(dāng)a表示設(shè)備的縱橫比(定義為擴(kuò)寬部分寬度和縮緊部分寬度之比wb/wp),¢dp表示粒子直徑的差異時(shí),擴(kuò)寬部分的粒子中心間的距離被給定。 |
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