Slip length for a viscous flow over a plane with complementary lattices of superhydrophobic spots

IF 2.5 3区 工程技术 Q2 MECHANICS
Alexei T. Skvortsov , Denis S. Grebenkov , Leon Chan , Andrew Ooi
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引用次数: 0

Abstract

We propose an approximation for the functional form of the slip length for two complementary lattice configurations of superhydrophobic texture. The first configuration consists of the square lattice of the superhydrophobic spots employed on the no-slip plane. The second configuration is an ‘inverse’ of the first one and consists of the same lattice but of the no-slip spots on the superhydrophobic base. We validate our analytical results by a numerical solution of Stokes equation.

具有超疏水点互补晶格的平面上粘性流动的滑动长度
我们提出了两种互补的超疏水纹理晶格配置的滑移长度函数形式近似值。第一种构型由在无滑动平面上使用的超疏水点方格组成。第二种配置是第一种配置的 "逆",由相同的晶格组成,但在超疏水基面上采用了防滑点。我们通过斯托克斯方程的数值求解验证了我们的分析结果。
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来源期刊
CiteScore
5.90
自引率
3.80%
发文量
127
审稿时长
58 days
期刊介绍: The European Journal of Mechanics - B/Fluids publishes papers in all fields of fluid mechanics. Although investigations in well-established areas are within the scope of the journal, recent developments and innovative ideas are particularly welcome. Theoretical, computational and experimental papers are equally welcome. Mathematical methods, be they deterministic or stochastic, analytical or numerical, will be accepted provided they serve to clarify some identifiable problems in fluid mechanics, and provided the significance of results is explained. Similarly, experimental papers must add physical insight in to the understanding of fluid mechanics.
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