TY - JOUR
T1 - Flow past superhydrophobic surfaces with cosine variation in local slip length
AU - Asmolov, E.S.
AU - Schmieschek, S.M.P.
AU - Harting, J.D.R.
AU - Vinogradova, O.I.
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
U2 - 10.1103/PhysRevE.87.023005
DO - 10.1103/PhysRevE.87.023005
M3 - Article
C2 - 23496608
VL - 87
SP - 023005-1/8
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
SN - 1539-3755
IS - 2
M1 - 023005
ER -