A general boundary condition for liquid flow at solid surfaces

Thompson, Peter A.; Troian, Sandra M.

doi:10.1038/38686

Cited by 1,018 publications

(1,086 citation statements)

References 20 publications

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“…For strong liquid-wall interaction the contact angle is low (Q < 908) or the liquid even wets the solid completely (Q = 0). Computer simulations [1016][1017][1018][1019][1020] and experiments confirmed that for low fluid-wall interactions slippage occurs [1009,1021,1022].…”

Section: Introductionmentioning

confidence: 69%

See 1 more Smart Citation

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

Butt

Cappella

Kappl

2005

Surface Science Reports

3,242

2,949

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Section: Introductionmentioning

confidence: 69%

“…Experiments [1035][1036][1037][1038][1039], simulations [999,1017,1040,1041] and theory [1042,1043] indicate that the degree of slip depends on the shear rate. Slip seems to occur only from a certain critical shear rate on and it increases with the shear rate.…”

Section: Methodsmentioning

confidence: 99%

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

Butt

Cappella

Kappl

2005

Surface Science Reports

3,242

2,949

View full text Add to dashboard Cite

“…Over the last few years, a number of pressure-driven flow [7,8,9,10], shear-flow [11], and squeeze-flow experiments [12,13,14,15,16,17,18] showing a response interpretable as some degree of slip for partially wetting liquids have been reported. Molecular dynamics simulations of Lennard-Jones liquids have also shown that slip can occur, but only at unrealistically high shear rates [19,20].…”

Section: Introductionmentioning

confidence: 99%

Apparent Slip Due to the Motion of Suspended Particles in Flows of Electrolyte Solutions

Lauga

2004

Langmuir

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We consider pressure-driven flows of electrolyte solutions in small channels or capillaries in which tracer particles are used to probe velocity profiles. Under the assumption that the double layer is thin compared to the channel dimensions, we show that the flow-induced streaming electric field can create an apparent slip velocity for the motion of the particles, even if the flow velocity still satisfies the no-slip boundary condition. In this case, tracking of particle would lead to the wrong conclusion that the no-slip boundary condition is violated. We evaluate the apparent slip length, compare with experiments, and discuss the implications of these results.

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“…The interaction parameters are σ l−l = 3.4 × 10 −10 m, l−l = 1.65678 × 10 −21 J and σ s−l = 2.55 × 10 −10 m, s−l = 0.33 × 10 −21 J in (A 1), taken from Thompson & Troian (1997). Solid molecules are kept rigid and packed in a simple cubic lattice structure with a number density approximately 8 times larger than the fluid.…”

Section: Appendix a MD Parametersmentioning

confidence: 99%

A hybrid molecular–continuum method for unsteady compressible multiscale flows

2015

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We present an internal-flow multiscale method ('unsteady-IMM') for compressible, time-varying/unsteady flow problems in nano-confined high-aspect-ratio geometries. The IMM is a hybrid molecular-continuum method that provides accurate flow predictions at macroscopic scales because local microscopic corrections to the continuum-fluid formulation are generated by spatially and temporally distributed molecular simulations. Exploiting separation in both time and length scales enables orders of magnitude computational savings, far greater than seen in other hybrid methods. We apply the unsteady-IMM to a converging-diverging channel flow problem with various time-and length-scale separations. Comparisons are made with a full molecular simulation wherever possible; the level of accuracy of the hybrid solution is excellent in most cases. We demonstrate that the sensitivity of the accuracy of a solution to the macro-micro time-stepping, as well as the computational speed-up over a full molecular simulation, is dependent on the degree of scale separation that exists in a problem. For the largest channel lengths considered in this paper, a speed-up of six orders of magnitude has been obtained, compared with a notional full molecular simulation.

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A general boundary condition for liquid flow at solid surfaces

Cited by 1,018 publications

References 20 publications

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

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

Apparent Slip Due to the Motion of Suspended Particles in Flows of Electrolyte Solutions

A hybrid molecular–continuum method for unsteady compressible multiscale flows

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