Simulation of fluid slip at 3D hydrophobic microchannel walls by the lattice Boltzmann meth.pdf
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Simulation of fluid slip at 3D hydrophobic microchannel walls by the lattice Boltzmann meth
Journal of Computational Physics 202 (2005) 181–195
/locate/jcpSimulation of fluid slip at 3D hydrophobic microchannel
walls by the lattice Boltzmann method q
Luoding Zhu a,*, Derek Tretheway b, Linda Petzold a,b, Carl Meinhart b
a Department of Computer Science, University of California Santa Barbara, Santa Barbara, CA 93106, USA
b Department of Mechanical and Environmental Engineering, University of California Santa Barbara, Santa Barbara, CA 93106, USA
Received 15 September 2003; received in revised form 15 April 2004; accepted 5 July 2004
Available online 14 August 2004Abstract
Fluid slip along hydrophobic microchannel walls has been observed experimentally by Tretheway and Meinhart
[Phys. Fluids, 14 (3) (2002) L9]. In this paper, we show how fluid slip can be modeled by the lattice Boltzmann method
and investigate a proposed mechanism for the apparent fluid slip [Phys. Fluids (2003)]. By applying an exponentially
decaying hydrophobic repulsive force of 4 · 103 dyn/cm3 with a decay length of 6.5 nm, an effective fluid slip of
9% of the main stream velocity is obtained. The result is consistent with experimental l-PIV data and with the proposed
mechanism.
2004 Elsevier Inc. All rights reserved.
Keywords: Fluid slip; Slip boundary condition; Hydrophobicity; Microfluidic; Lattice Boltzmann method1. Introduction
In classical fluid mechanics, the assumption of no-slip at a solid boundary is used as the boundary con-
dition for viscous flows at rigid walls. However, for flows at micro- and nanoscales, this assumption may no
longer be accurate. Many researchers have investigated the fluid slip phenomenon [3–12,14,21]. Choi et al.
[3] investigated experimentally the slip effects of water flow in hydrophilic/hydrophobic microchannels and
found the slip length to vary approximately linearly with the flow shear rate. Lumma et al. [4] measured the
flow profile near a wall by double-focus fluorescence cross-correlation; their analysis yields a large apparent
fluid slip at
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