Slip length for longitudinal shear flow over a dilute periodic mattress of protruding bubbles
Slip length for longitudinal shear flow over a dilute periodic mattress of protruding bubbles
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DOI：
10.1063/1.3531683
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发表时间：
2010-12
影响因子：
4.6
通讯作者：
D. Crowdy
中科院分区：
文献类型：
--
作者：
D. Crowdy
最近，Davis和Lauga[物理学家]提出了一个与气泡垫上横向剪切流动相关的摩擦滑移长度的解析公式，该气泡垫由突出到流体中的平行圆弧槽的稀周期阵列组成。[j].中国机械工程，2016,31(4)。这封信导出了与同一表面上的纵向剪切流动有关的滑移长度的解析公式。该公式与Teo和Khoo [Microfluid]给出的基于有限元模拟的现象学结果非常吻合。纳米流体，9,499(2010)]。
An analytical formula for the frictional slip length associated with transverse shear flow over a bubble mattress comprising a dilute periodic array of parallel circular-arc grooves protruding into the fluid has recently been presented by Davis and Lauga [Phys. Fluids 21, 011701 (2009)]. This letter derives an analytical formula for the slip length associated with longitudinal shear flow over the same surface. The formula is in excellent agreement with a phenomenological result based on finite element simulations given by Teo and Khoo [Microfluid. Nanofluid. 9, 499 (2010)].