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2018
DOI: 10.1063/1.5055036
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Generalised Navier boundary condition for a volume of fluid approach using a finite-volume method

Abstract: In this work, an analytical Volume Of Fluid (VOF) implementation of the Generalized Navier Boundary Condition is presented based on the Brackbill surface tension model. The model is validated by simulations of droplets on a smooth surface in a planar geometry. Looking at the static behavior of the droplets, it is found that there is a good match between the droplet shape resolved in the simulations and the theoretically predicted shape for various values of the Young's angle. Evaluating the spreading of a drop… Show more

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Cited by 20 publications
(8 citation statements)
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References 78 publications
(91 reference statements)
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“…Interestingly, even with a constant contact angle the contact line diameter seems to follow Tanner's law. Boelens and de Pablo (2019) very recently found similar results with a generalised Navier slip boundary condition included in the algebraic VOF model, when the slip length is resolved by the grid resolution. With the numerical slip present in our simulation, the double-logarithmic plots for a constant contact angle and a smoothed dynamic contact angle are nearly parallel over a period of a few milliseconds, with the static contact angle leading to faster spreading.…”
supporting
confidence: 58%
“…Interestingly, even with a constant contact angle the contact line diameter seems to follow Tanner's law. Boelens and de Pablo (2019) very recently found similar results with a generalised Navier slip boundary condition included in the algebraic VOF model, when the slip length is resolved by the grid resolution. With the numerical slip present in our simulation, the double-logarithmic plots for a constant contact angle and a smoothed dynamic contact angle are nearly parallel over a period of a few milliseconds, with the static contact angle leading to faster spreading.…”
supporting
confidence: 58%
“…More information on the derivation and validation of this boundary condition can be found in Ref. [26]. On the wall the velocity obeys the Navier-slip boundary condition with a slip length of λ N = 1nm.…”
Section: Theory and Methodsmentioning
confidence: 99%
“…More information on the boundary conditions at the contact line can be found in Ref. 38. More information on the equations, initial conditions, and a comparison with experiments van be found in Ref.…”
Section: B Simulationsmentioning
confidence: 99%