Simulations of contact-line motion: Slip and the dynamic contact angle

Thompson, Peter A.; Robbins, Mark O.

doi:10.1103/physrevlett.63.766

Cited by 448 publications

(334 citation statements)

References 16 publications

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“…Early simulations showed no-slip except near contact lines [94,156]. More recent investigations have reported that molecular slip increases with decreasing liquid-solid interactions [7,35,114], liquid density [95,157], density of the wall [158], and decreases with pressure [7].…”

Section: Resultsmentioning

confidence: 99%

Microfluidics: The No-Slip Boundary Condition

Lauga

Brenner

Stone

2007

Springer Handbook of Experimental Fluid Mechanics

591

674

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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.

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Section: Resultsmentioning

confidence: 99%

Microfluidics: The No-Slip Boundary Condition

Lauga

Brenner

Stone

2007

Springer Handbook of Experimental Fluid Mechanics

591

674

View full text Add to dashboard Cite

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“…There have been many attempts to resolve the problem by modifying the boundary condition, including the slip model [6] [18], the interface relaxation model [15], the diffusive interface model [10] [3], and the combined molecular-dynamics and diffusiveinterface model [14]. However, studies by molecular dynamics show that even though considerable contact-line velocities can be obtained [11] [16], the maxi-mum shear rate is still many orders less than taht which can violate the no-slip wall boundary condition considerably [17].…”

Section: Introductionmentioning

confidence: 99%

Moving Contact Line with Balanced Stress Singularities

Adams

2009

IUTAM Bookseries

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A difficulty in the classical hydrodynamic analysis of moving contact-line problems, associated with the no-slip wall boundary condition resulting in an unbalanced divergence of the viscous stresses, is reexamined with a smoothed, finite-width interface model. The analysis in the sharp-interface limit shows that the singularity of the viscous stress can be balanced by another singularity of the unbalanced surface stress. The dynamic contact angle is determined by surface tension, viscosity, contact-line velocity and a single non-dimensional parameter reflecting the lengthscale ratio between interface width and the thickness of the first molecule layer at the wall surface. The widely used Navier boundary condition and Cox's hypothesis are also derived following the same procedure by permitting finite-wall slip.

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“…The free energy function F [φ(r)] consists of the Cahn-Hilliard (CH) free energy F CH [φ(r)] which stabilizes the fluid-fluid interface between the two immiscible fluids (Cahn & Hilliard 1958) and the surface free energy F FS [φ(r)] which arises from the fluid-solid interaction (Thompson & Robbins 1989):…”

Section: Free Energy Componentsmentioning

confidence: 99%

“…In spite of their importance, however, not all boundary conditions have been derived from basic principles. A prominent example is the no-slip boundary condition (NSBC) (Batchelor 1967), which has been widely employed but recognized some time ago to be incompatible with immiscible flows that involve a moving contact line, defined to be the intersection of the fluid-fluid interface with the solid wall (Moffatt 1964;Huh & Scriven 1971;Dussan V. & Davis 1974;Dussan V. 1976Dussan V. , 1979de Gennes 1985;Koplik, Banavar & Willemsen 1988;Thompson & Robbins 1989). Recently, it was discovered that the use of Onsager principle of minimum energy dissipation (Onsager 1931a, b) can yield the required boundary conditions, denoted the generalized Navier boundary conditions (GNBCs), for resolving the moving contact line problem (Qian, Wang & Sheng 2003, 2006.…”

Section: Introductionmentioning

confidence: 99%

A scaling approach to the derivation of hydrodynamic boundary conditions

2008

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We show hydrodynamic boundary conditions to be the inherent consequence of the Onsager principle of minimum energy dissipation, provided the relevant effects of the wall potential appear within a thin fluid layer next to the solid wall, denoted the surface layer. The condition that the effect of the surface layer on the bulk hydrodynamics must be independent of its thickness h is shown to imply a set of consistent 'scaling relationships' between h and the surface-layer variables/parameters. The use of the scaling relations, in conjunction with the surface-layer equations of motion derived from the Onsager principle, directly leads to the hydrodynamic boundary conditions. We demonstrate the surface-layer scaling process both physically and mathematically, and relate the parameters of the boundary conditions to those in the surface-layer equations of motion. In spatial regions outside the surface layer, equivalence between the use of surface-layer dynamics and boundary conditions is numerically demonstrated for Couette flows. As an application of the present approach, we derive the liquid-crystal hydrodynamic boundary conditions in which the rotational and translational dynamics are coupled.

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Simulations of contact-line motion: Slip and the dynamic contact angle

Cited by 448 publications

References 16 publications

Microfluidics: The No-Slip Boundary Condition

Microfluidics: The No-Slip Boundary Condition

Moving Contact Line with Balanced Stress Singularities

A scaling approach to the derivation of hydrodynamic boundary conditions

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