Effective slip boundary conditions for flows over nanoscale chemical heterogeneities

Abstract

We study slip boundary conditions for simple fluids at surfaces with nanoscale chemical heterogeneities. Using a perturbative approach, we examine the flow of a Newtonian fluid far from a surface described by a heterogeneous Navier slip boundary condition. In the far-field, we obtain expressions for an effective slip boundary condition in certain limiting cases. These expressions are compared to numerical solutions which show they work well when applied in the appropriate limits. The implications for experimental measurements and for the design of surfaces that exhibit large slip lengths are discussed.

14 pages, 3 figures

References in corpus (6)

• Low Friction Flows of Liquids at Nanopatterned Interfaces
• Slippage of water past superhydrophobic carbon nanotube forests in microchannels
• Dynamics of simple liquids at heterogeneous surfaces : Molecular Dynamics simulations and hydrodynamic description
• A note on the effective slip properties for microchannel flows with ultra-hydrophobic surfaces
• Probing the nanohydrodynamics at liquid-solid interfaces using thermal motion
• Effect of Patterned Slip on Micro and Nanofluidic Flows

Cited by in corpus (4)

• Molecular diffusion and slip boundary conditions at smooth surfaces with periodic and random nanoscale textures
• Rheological study of polymer flow past rough surfaces with slip boundary conditions
• The rolling and slipping of droplets on superhydrophobic surfaces
• Effective slippage on superhydrophobic trapezoidal grooves