Longitudinal shear flow over a bubble mattress with curved menisci: arbitrary protrusion angle and solid fraction
Longitudinal shear flow over a bubble mattress with curved menisci: arbitrary protrusion angle and solid fraction
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具有弯曲弯液面的气泡垫上的纵向剪切流：任意突出角和固体分数
DOI：
10.1093/imamat/hxy029
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发表时间：
2018
影响因子：
1.2
通讯作者：
Luca E
中科院分区：
文献类型：
--
作者：
Luca E
对于任意固相分数(和之间)和任意突出角(和之间)的液气界面，我们得到了描述超水表面上Cassie态纵向剪切流的解。后者被假定为横截面为圆形。这些结果自然地推广了Crowdy(2015A，IMA J.Appl.Math.，80,1902-1931)也有类似的问题，但突出角度仅限于。与后者一样，我们用一种新的变换方法得到了相应速度场的准解析形式的解。然而，在执行延伸到一系列突出角所需的分析中出现了额外的复杂性，特别是对于负的突出角，我们必须为其分割流动区域。在推导这些解的过程中，我们计算了表面的有效滑移长度。作为对结果的检验，我们将该滑移长度的值与完全数值模拟得到的值以及由解析公式给出的值(对于这些公式适用的特殊情况)进行了比较。
We derive solutions describing longitudinal shear flow in the Cassie state over a superhydrophic surface textured with a periodic array of equally spaced parallel grooves for arbitrary solid fraction (betweenand) and arbitrary protrusion angle (betweenand) of the liquid–gas interfaces. The latter are assumed to be circular in cross section. These results provide a natural extension of those recently derived by Crowdy (2015a,IMA J. Appl. Math.,80, 1902–1931) for a similar problem but with the protrusion angle restricted to just. As in the latter, we obtain our solutions for the corresponding velocity field in a quasi-analytical form using a novel transform method. However, additional complications arise in the analysis required to perform the extension to a range of protrusion angles, as we do here, notably for protrusion angles that are negative, for which we must split the flow domain. In the process of deriving these solutions, we compute the effective slip length of the surface. As a check on our results, we compare our values for this slip length against those found by full numerical simulations, as well as against those given by analytical formulae (for the special cases for which these hold).
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影响因子：
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作者：
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DOI：
--
发表时间：
2015
期刊：
影响因子：
--
作者：
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影响因子：
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