Effect of Patterned Slip on Micro and Nanofluidic Flows

Abstract

We consider the flow of a Newtonian fluid in a nano or microchannel with walls that have patterned variations in slip length. We formulate a set of equations to describe the effects on an incompressible Newtonian flow of small variations in slip, and solve these equations for slow flows. We test these equations using molecular dynamics simulations of flow between two walls which have patterned variations in wettability. Good qualitative agreement and a reasonable degree of quantitative agreement is found between the theory and the molecular dynamics simulations. The results of both analyses show that patterned wettability can be used to induce complex variations in flow. Finally we discuss the implications of our results for the design of microfluidic mixers using slip.

13 pages, 12 figures, final version for publication

References in corpus (3)

• Low Friction Flows of Liquids at Nanopatterned Interfaces
• Influence of wetting properties on the hydrodynamic boundary condition at a fluid-solid interface
• Dynamics of simple liquids at heterogeneous surfaces : Molecular Dynamics simulations and hydrodynamic description

Cited by in corpus (6)

• Molecular diffusion and slip boundary conditions at smooth surfaces with periodic and random nanoscale textures
• Effective slip boundary conditions for flows over nanoscale chemical heterogeneities
• Anisotropic flow in striped superhydrophobic channels
• Flow past superhydrophobic surfaces with cosine variation in local slip length
• Rheological study of polymer flow past rough surfaces with slip boundary conditions
• Measurement of Newtonian fluid slip using a torsional ultrasonic oscillator