Asymptotic formulae for flow in superhydrophobic channels with longitudinal ridges and protruding menisci
Asymptotic formulae for flow in superhydrophobic channels with longitudinal ridges and protruding menisci
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具有纵向脊和突出弯月面的超疏水通道中流动的渐近公式
DOI：
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发表时间：
2017
影响因子：
3.7
通讯作者：
Toby L. Kirk
中科院分区：
文献类型：
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作者：
Toby L. Kirk
本文提出了一种新的渐近公式，该公式适用于具有纵向脊阵列和任意突出半月板的单壁或双壁通道中的流动。从一个匹配渐近展开式导出，它们推广了Crowdy （J.流体力学）的结果。， vol. 791, 2016, R7)为剪切流，因此对进入或流出液体的突出没有限制。将滑移长度公式与全数值解进行了比较，发现尽管在推导过程中假设了较小的脊期，但其有效性范围非常大；相对误差很小，即使周期大到足以使突出的半月板降低血流并接触到对面的壁。
This paper presents new asymptotic formulae for flow in a channel with one or both walls patterned with a longitudinal array of ridges and arbitrarily protruding menisci. Derived from a matched asymptotic expansion, they extend results by Crowdy (J. Fluid Mech., vol. 791, 2016, R7) for shear flow, and thus make no restriction on the protrusion into or out of the liquid. The slip length formula is compared against full numerical solutions and, despite the assumption of small ridge period in its derivation, is found to have a very large range of validity; relative errors are small even for periods large enough for the protruding menisci to degrade the flow and touch the opposing wall.
影响因子：
4.6
作者：
D. Crowdy
通讯作者：
D. Crowdy