Journal
PHYSICAL REVIEW E
Volume 87, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.87.023005
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- Russian Academy of Science (RAS) through its priority program Assembly and Investigation of Macromolecular Structures of New Generations
- Netherlands Organization for Scientific Research (NWO/STW VIDI)
- German Science Foundation (DFG) through its priority program Micro- and nanofluidics
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Anisotropic superhydrophobic surfaces have the potential to greatly reduce drag and enhance mixing phenomena in microfluidic devices. Recent work has focused mostly on cases of superhydrophobic stripes. Here, we analyze a relevant situation of cosine variation of the local slip length. We derive approximate formulas for maximal (longitudinal) and minimal (transverse) directional effective slip lengths that are in good agreement with the exact numerical solution and lattice-Boltzmann simulations. Compared to the case of superhydrophobic stripes, the cosine texture can provide a very large effective slip. However, the difference between eigenvalues of the slip-length tensor is smaller, indicating that the flow is less anisotropic. DOI: 10.1103/PhysRevE.87.023005
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