Simulation of fluid flow in hydrophobic rough microchannels
arXiv:0709.3966 · doi:10.1080/10618560802238234
Abstract
Surface effects become important in microfluidic setups because the surface to volume ratio becomes large. In such setups the surface roughness is not any longer small compared to the length scale of the system and the wetting properties of the wall have an important influence on the flow. However, the knowledge about the interplay of surface roughness and hydrophobic fluid-surface interaction is still very limited because these properties cannot be decoupled easily in experiments. We investigate the problem by means of lattice Boltzmann (LB) simulations of rough microchannels with a tunable fluid-wall interaction. We introduce an ``effective no-slip plane'' at an intermediate position between peaks and valleys of the surface and observe how the position of the wall may change due to surface roughness and hydrophobic interactions. We find that the position of the effective wall, in the case of a Gaussian distributed roughness depends linearly on the width of the distribution. Further we are able to show that roughness creates a non-linear effect on the slip length for hydrophobic boundaries.
10 pages, 5 figures
References in corpus (8)
- Slippage of water past superhydrophobic carbon nanotube forests in microchannels
- Mesoscopic modeling of a two-phase flow in the presence of boundaries: the Contact Angle
- Dynamics of simple liquids at heterogeneous surfaces : Molecular Dynamics simulations and hydrodynamic description
- Surface Roughness and Hydrodynamic Boundary Conditions
- Roughness induced boundary slip in microchannel flows
- Large-scale lattice Boltzmann simulations of complex fluids: advances through the advent of computational grids
- Lattice Boltzmann simulations of apparent slip in hydrophobic microchannels
- On the effect of surfactant adsorption and viscosity change on apparent slip in hydrophobic microchannels
Cited by in corpus (5)
- From Bijels to Pickering emulsions: a lattice Boltzmann study
- Effective slip boundary conditions for arbitrary periodic surfaces: The surface mobility tensor
- Lattice Boltzmann simulations in microfluidics: probing the no-slip boundary condition in hydrophobic, rough, and surface nanobubble laden microchannels
- Contact angle determination in multicomponent lattice Boltzmann simulations
- Simulations of slip flow on nanobubble-laden surfaces