A boundary condition with adjustable slip length for Lattice Boltzmann simulations

Abstract

A velocity boundary condition for the Lattice Boltzmann simulation technique has been proposed recently by Hecht and Harting[arxiv:0811.4593]. This boundary condition is independent of the relaxation process during collision and contains no artificial slip. In this work, this boundary condition is extended to simulate slip-flows. The extended boundary condition has been tested and it is found that the slip length is independent of the shear rate and the density, and proportional to the BGK relaxation time. The method is used to study slip in Poiseuille flow and in linear shear flow. Patterned walls with stripes of different slip parameters are also studied, and an anisotropy of the slip length in accordance with the surface pattern is found. The angle dependence of the simulation results perfectly agrees with theoretical expectations. The results confirm that the proposed boundary conditions can be used for simulating slip-flows in micro fluidics using single relaxation time lattice Boltzmann, without any numerical slip, giving an accuracy of the second order.

13 pages, 11 figures, 1 table

References in corpus (9)

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Cited by in corpus (6)

• Tensorial slip of super-hydrophobic channels
• Molecular diffusion and slip boundary conditions at smooth surfaces with periodic and random nanoscale textures
• Inertial migration of neutrally-buoyant particles in superhydrophobic channels
• Flow past superhydrophobic surfaces with cosine variation in local slip length
• Lattice-Boltzmann simulations of the drag force on a sphere approaching a superhydrophobic striped plane
• A Lattice Boltzmann study of flow along patterned surfaces and through channels with alternating slip length