Lattice Boltzmann simulations of apparent slip in hydrophobic microchannels

Details Lattice Boltzmann simulations of apparent slip in hydrophobic microchannels Lattice Boltzmann simulations of apparent slip in hydrophobic microchannels

2005-09-05

arxiv.org/abs/physics/0509035v2

Europhysics Letters 75, 328-334 (2006)

Physics

Fluid Dynamics

7 pages, 4 figures

Scientific paper

10.1209/epl/i2006-10107-8

Various experiments have found a boundary slip in hydrophobic microchannel flows, but a consistent understanding of the results is still lacking. While Molecular Dynamics (MD) simulations cannot reach the low shear rates and large system sizes of the experiments, it is often impossible to resolve the needed details with macroscopic approaches. We model the interaction between hydrophobic channel walls and a fluid by means of a multi-phase lattice Boltzmann model. Our mesoscopic approach overcomes the limitations of MD simulations and can reach the small flow velocities of known experiments. We reproduce results from experiments at small Knudsen numbers and other simulations, namely an increase of slip with increasing liquid-solid interactions, the slip being independent of the flow velocity, and a decreasing slip with increasing bulk pressure. Within our model we develop a semi-analytic approximation of the dependence of the slip on the pressure.

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