Microfluidics: The no-slip boundary condition

By Eric Lauga, Michael P. Brenner, Howard A. Stone. 2005

731 citations recorded by the source corpus.

The no-slip boundary condition at a solid-liquid interface is at the center of our understanding of fluid mechanics. However, this condition is an assumption that cannot be derived from first principles and could, in theory, be violated. In this chapter, we present a review of recent experimental, numerical and theoretical investigations on the subject. The physical picture that emerges is that of a complex behavior at a liquid/solid interface, involving an interplay of many physico-chemical parameters, including wetting, shear rate, pressure, surface charge, surface roughness, impurities and dissolved gas.

Subfields: Biomedical Engineering, Surfaces, Coatings and Films

View Paper: https://www.semanticscholar.org/paper/ebc6bf29aed458c292c91a371d6bbb9d76159753

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In Biomedical Engineering

In Surfaces, Coatings and Films

Citations in the corpus

Influence of the enclosed fluid on the flow over a microstructured surface in the Cassie state (2013, background): “The slip of a superhydrophobic surface is actually an apparent slip (in the terminology of Lauga et al. (2005)), which is determined by the hydrodynamics of the enclosed gas. The local behavior is therefore continuous, which has already been shown in the case of flow over a single groove filled with”
Superhydrophobic surfaces: From the lotus leaf to the submarine (2012, background): “The average slip over the entire surface is often referred to as “effective slip” [20].”
Geometric transition in friction for flow over a bubble mattress (2008, background): “However, intrinsic slip lengths of hydrophobic s urfaces do not exceed tens of nanometers [3, 4, 5].”
High shear rate viscometry (2008, background): “The issue of wall slip has been shown to be significant, as very small length scales are probed, but nearly all experimental evidence suggests that slip, if present, occurs over length scales 0–50 nm (Granick et al. 2003; Lauga et al. 2007) and is therefore usually negligible for most homogeneous fl”
A note on the effective slip properties for microchannel flows with ultrahydrophobic surfaces (2006, background): “ar X iv :p hy si cs /0 61 10 42 v1 [ ph ys ic A type of super-hydrophobic surface consists of a solid plane boundary with an array of grooves which, due to the effect of surface tension, prevent a complete wetting of the wall.”
Viscous boundary layers for the Navier–Stokes equations with the Navier slip conditions (2011, background): “We refer to [26] for a review of several experiments which reveal the extremely rich possibilities for slip behavior, with dependence on various factors.”