A note on the effective slip properties for microchannel flows with ultra-hydrophobic surfaces

Abstract

A type of super-hydrophobic 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.

19 pages, 5 figures

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• Wetting on Nanorough Surfaces
• Exit time distribution in spherically symmetric two-dimensional domains
• A theory for the slip and drag of superhydrophobic surfaces with surfactant
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• Natural convection with mixed insulating and conducting boundary conditions: low and high Rayleigh numbers regimes
• Enhanced slip properties of lubricant-infused grooves
• Anisotropic flow in striped superhydrophobic channels
• Inertial migration of neutrally-buoyant particles in superhydrophobic channels
• Effective slip-length tensor for a flow over weakly slipping stripes
• Hydrodynamic interaction with super-hydrophobic surfaces
• Rheological study of polymer flow past rough surfaces with slip boundary conditions
• Wall-bounded flow over a realistically rough superhydrophobic surface
• Effective slip over partially filled microcavities and its possible failure
• Flow in channels with superhydrophobic trapezoidal textures
• Flow-driven collapse of lubricant-infused surfaces
• Singular effective slip length for longitudinal flow over a dense bubble mattress
• Boundary conditions at the gas sectors of superhydrophobic grooves
• Effective slippage on superhydrophobic trapezoidal grooves
• Asymptotic formulae for flow in superhydrophobic channels with longitudinal ridges and protruding menisci
• Lattice-Boltzmann simulations of the drag force on a sphere approaching a superhydrophobic striped plane
• Laminar drag reduction in surfactant-contaminated superhydrophobic channels
• Boundary induced non linearities at small Reynolds Numbers
• Close-contact melting on hydrophobic textured surfaces: Confinement and meniscus effects
• Effect of Electro-Osmotic Flow on Energy Conversion on Superhydrophobic Surfaces
• The influence of incompressible surfactant on drag in flow along an array of gas-filled grooves
• Shear flow over a surface containing a groove covered by an incompressible surfactant phase