Flow past superhydrophobic surfaces with cosine variation in local slip length

Abstract

Anisotropic super-hydrophobic surfaces have the potential to greatly reduce drag and enhance mixing phenomena in microfluidic devices. Recent work has focused mostly on cases of super-hydrophobic stripes. Here, we analyze a relevant situation of cosine variation of the local slip length. We derive approximate formulae for maximal (longitudinal) and minimal (transverse) directional effective slip lengths that are in good agreement with the exact numerical solution and lattice-Bolzmann simulations for any surface slip fraction. The cosine texture can provide a very large effective (forward) slip, but it was found to be less efficient in generating a transverse flow as compared to super-hydrophobic stripes.

arXiv comment8 pages, 6 figures

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Cited by in corpus (5)

• Influence of the enclosed fluid on the flow over a microstructured surface in the Cassie state
• Enhanced slip properties of lubricant-infused grooves
• Effective slip-length tensor for a flow over weakly slipping stripes
• Effective slippage on superhydrophobic trapezoidal grooves
• Lattice-Boltzmann simulations of the drag force on a sphere approaching a superhydrophobic striped plane