A note on the effective slip properties for microchannel flows with ultrahydrophobic surfaces
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In this paper, the effects of superhydrophobic surface deformation on the effective slip length were analyzed theoretically and a comparison with available data and related mathematical models was presented, along with a comparison of available data.Abstract:
A type of superhydrophobic surface consists of a solid plane boundary with an array of grooves which, due to the effect of surface tension, prevent a complete wetting of the wall. The effect is greatest when the grooves are aligned with the flow. The pressure difference between the liquid and the gas in the grooves causes a curvature of the liquid surface resisted by surface tension. The effects of this surface deformation are studied in this paper. The corrections to the effective slip length produced by the curvature are analyzed theoretically and a comparison with available data and related mathematical models is presented.read more
Citations
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Slip on Superhydrophobic Surfaces
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Achieving large slip with superhydrophobic surfaces: Scaling laws for generic geometries
TL;DR: In this article, scaling laws for the effective slip length at the surface in terms of the generic surface characteristics (roughness length scale, depth, solid fraction of the interface, etc.).
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Review of Fluid Slip over Superhydrophobic Surfaces and Its Dependence on the Contact Angle
TL;DR: In this paper, a review of hydrophobicity is presented, with the goal of investigating the relationship, if any, between the contact angle (a macroscopically observed property) and the slip length (a microscopic phenomenon).
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TL;DR: The potential for LIS to reduce drag in laminar flows is demonstrated and the dependence of drag reduction on the ratio of the viscosity of the working fluid to that of the lubricant is elucidated.
References
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TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
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TL;DR: Basic Forms x n dx = 1 n + 1 x n+1 (1) 1 x dx = ln |x| (2) udv = uv − vdu (3) 1 ax + bdx = 1 a ln|ax + b| (4) Integrals of Rational Functions
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Didem Öner,Thomas J. McCarthy +1 more
TL;DR: In this article, a series of silicon surfaces were prepared by photolithography and hydrophobized using silanization reagents, and water droplets were pinned on surfaces containing square posts with larger dimensions.
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Micro-electro-mechanical-systems (mems) and fluid flows
Chih-Ming Ho,Yu-Chong Tai +1 more
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Laminar drag reduction in microchannels using ultrahydrophobic surfaces
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