Boundary slip in Newtonian liquids: a review of experimental studies

Neto, Chiara; Evans, Drew; Bonaccurso, Elmar; Butt, Hans‐Jürgen; Craig, Vincent S. J.

doi:10.1088/0034-4885/68/12/r05

Cited by 1,020 publications

(922 citation statements)

References 278 publications

(433 reference statements)

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“…Here, the question is whether slip occurs or not (for a review see Refs. [1029,1030]). It is now generally accepted that slip occurs for liquids on lyophobic surfaces, for example for water on hydrophobic surfaces [1009].…”

Section: Methodsmentioning

confidence: 99%

Force measurements with the atomic force microscope: Technique, interpretation and applications

Butt

Cappella

Kappl

2005

Surface Science Reports

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3,242

2,949

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Section: Methodsmentioning

confidence: 99%

Force measurements with the atomic force microscope: Technique, interpretation and applications

Butt

Cappella

Kappl

2005

Surface Science Reports

Self Cite

3,242

2,949

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“…Although slip velocity has been reported in the flow of liquids over hydrophobic and possibly more general surfaces [1,2], the laboratory evidence is not conclusive. On the other hand, macromolecular solutions and melts are known to exhibit intermittent slip that may initiate flow instability [3].…”

Section: Introductionmentioning

confidence: 97%

Effect of surface slip on Stokes flow past a spherical particle in infinite fluid and near a plane wall

Luo

Pozrikidis

2007

J Eng Math

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The motion of a spherical particle in infinite linear flow and near a plane wall, subject to the slip boundary condition on both the particle surface and the wall, is studied in the limit of zero Reynolds number. In the case of infinite flow, an exact solution is derived using the singularity representation, and analytical expressions for the force, torque, and stresslet are derived in terms of slip coefficients generalizing the Stokes-Basset-Einstein law. The slip velocity reduces the drag force, torque, and the effective viscosity of a dilute suspension. In the case of wall-bounded flow, advantage is taken of the axial symmetry of the boundaries of the flow with respect to the axis that is normal to the wall and passes through the particle center to formulate the problem in terms of a system of one-dimensional integral equations for the first sine and cosine Fourier coefficients of the unknown traction and velocity along the boundary contour in a meridional plane. Numerical solutions furnish accurate predictions for (a) the force and torque exerted on a particle translating parallel to the wall in a quiescent fluid, (b) the force and torque exerted on a particle rotating about an axis that is parallel to the wall in a quiescent fluid, and (c) the translational and angular velocities of a freely suspended particle in simple shear flow parallel to the wall. For certain combinations of the wall and particle slip coefficients, a particle moving under the influence of a tangential force translates parallel to the wall without rotation, and a particle moving under the influence of a tangential torque rotates about an axis that is parallel to the wall without translation. For a particle convected in simple shear flow, minimum translational velocity is observed for no-slip surfaces. However, allowing for slip may either increase or decrease the particle angular velocity, and the dependence on the wall and particle slip coefficients is not necessarily monotonic.

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“…Over the last decade interest in the potential application of superhydrophobic surfaces for drag reduction has grown (Neto et al 2005;Voronov, Papavassiliou & Lee 2008;Quéré 2008;Vinogradova & Dubov 2012). Superhydrophobic surfaces are structured surfaces with micro-or nano-scale roughness that have a hydrophobic surface chemistry (McHale, Newton & Shirtcliffe 2010).…”

Section: Introductionmentioning

confidence: 99%

Change in drag, apparent slip and optimum air layer thickness for laminar flow over an idealised superhydrophobic surface

et al. 2013

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Analytic results are derived for the apparent slip length, the change in drag and the optimum air layer thickness of laminar channel and pipe flow over an idealised superhydrophobic surface, i.e. a gas layer of constant thickness retained on a wall. For a simple Couette flow the gas layer always has a drag reducing effect, and the apparent slip length is positive, assuming that there is a favourable viscosity contrast between liquid and gas. In pressure-driven pipe and channel flow blockage limits the drag reduction caused by the lubricating effects of the gas layer; thus an optimum gas layer thickness can be derived. The values for the change in drag and the apparent slip length are strongly affected by the assumptions made for the flow in the gas phase. The standard assumptions of a constant shear rate in the gas layer or an equal pressure gradient in the gas layer and liquid layer give considerably higher values for the drag reduction and the apparent slip length than an alternative assumption of a vanishing mass flow rate in the gas layer. Similarly, a minimum viscosity contrast of four must be exceeded to achieve drag reduction under the zero mass flow rate assumption whereas the drag can be reduced for a viscosity contrast greater than unity under the conventional assumptions. Thus, traditional formulae from lubrication theory lead to an overestimation of the optimum slip length and drag reduction when applied to superhydrophobic surfaces, where the gas is trapped.

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Boundary slip in Newtonian liquids: a review of experimental studies

Cited by 1,020 publications

References 278 publications

Force measurements with the atomic force microscope: Technique, interpretation and applications

Force measurements with the atomic force microscope: Technique, interpretation and applications

Effect of surface slip on Stokes flow past a spherical particle in infinite fluid and near a plane wall

Change in drag, apparent slip and optimum air layer thickness for laminar flow over an idealised superhydrophobic surface

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