Transverse flow in thin superhydrophobic channels

Abstract

We provide some general theoretical results to guide the optimization of transverse hydrodynamic phenomena in superhydrophobic channels. Our focus is on the canonical micro- and nanofluidic geometry of a parallel-plate channel with an arbitrary two-component (low-slip and high-slip) coarse texture, varying on scales larger than the channel thickness. By analyzing rigorous bounds on the permeability, over all possible patterns, we optimize the area fractions, slip lengths, geometry and orientation of the surface texture to maximize transverse flow. In the case of two aligned striped surfaces, very strong transverse flows are possible. Optimized superhydrophobic surfaces may find applications in passive microfluidic mixing and amplification of transverse electrokinetic phenomena.

4 pages

References in corpus (2)

• Effective slip over superhydrophobic surfaces in thin channels
• Direct measurements of hydrophobic slippage using double-focus fluorescence cross-correlation

Cited by in corpus (18)

• Wetting, roughness and flow boundary conditions
• Influence of the enclosed fluid on the flow over a microstructured surface in the Cassie state
• Inertial focusing of finite-size particles in microchannels
• Tensorial slip of super-hydrophobic channels
• Molecular diffusion and slip boundary conditions at smooth surfaces with periodic and random nanoscale textures
• Contact Angle Hysteresis on Superhydrophobic Stripes
• Drag force on a sphere moving towards an anisotropic super-hydrophobic plane
• Anisotropic flow in striped superhydrophobic channels
• Inertial migration of neutrally-buoyant particles in superhydrophobic channels
• Flow past superhydrophobic surfaces with cosine variation in local slip length
• Flows and mixing in channels with misaligned superhydrophobic walls
• Flow in channels with superhydrophobic trapezoidal textures
• Regimes of Wetting Transitions on Superhydrophobic Textures Conditioned by Energy of Receding Contact Lines
• Effective hydrodynamic boundary conditions for microtextured surfaces
• Hydrodynamics of the Developing Region in Hydrophobic Microchannels: A Dissipative Particle Dynamics Study
• Boundary conditions at the gas sectors of superhydrophobic grooves
• Lattice-Boltzmann simulations of the drag force on a sphere approaching a superhydrophobic striped plane
• Advective superdiffusion in superhydrophobic microchannels