Numerical simulation of dynamic contact angle using a force based formulation

Deganello, Davide; Croft, Nick; Williams, Alison; Lubansky, A.S.; Gethin, D. T.; Claypole, Tim

doi:10.1016/j.jnnfm.2011.04.008

Cited by 15 publications

(7 citation statements)

References 32 publications

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“…In contrast to the body force term derived by Mahady et al [56], the model presented in this work describes wetting of a dry surface. Opposed to Deganello et al [65], the model presented here is a analytical derivation of the line tension force.…”

Section: Introductionmentioning

confidence: 99%

Generalised Navier boundary condition for a volume of fluid approach using a finite-volume method

Boelens

Pablo

2018

Physics of Fluids

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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 droplet on a completely wetting surface, the Voinov-Tanner-Cox law (θ ∝ Ca 1/3 ) can be observed. At later times scaling follows r ∝ t 1/2 , suggesting spreading is limited by inertia. These observations are made without any fitting parameters except the slip

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Section: Introductionmentioning

confidence: 99%

Generalised Navier boundary condition for a volume of fluid approach using a finite-volume method

Boelens

Pablo

2018

Physics of Fluids

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“…The second approach does not include the velocity of contact line to correlate the dynamic contact angle. For instance, Deganello et al 39 proposed a numerical approach that does not explicitly include velocity of the contact line to model the dynamic contact angle. The authors combined an equilibrium of forces in the contact region near the solid boundary with a diffuse free fluid interface within a level-set finite volume numerical framework.…”

Section: ■ Introductionmentioning

confidence: 99%

“…Kinetics of liquid rise in single capillary tubes of circular cross section was formulated almost at the same time by Lucas, Washburn, and Rideal in the early 20th century. Later on, many other scientists in different areas of science and engineering attempted to improve the formulation and associated analysis. ,,,,,,,,,− ,− Washburn modeled the fluid flow in circular capillary tubes using Poiseuille’s law. The author ignored the changes in contact angle of fluid meniscus during displacement.…”

Section: Introductionmentioning

confidence: 99%

Experimental Investigation of Dynamic Contact Angle and Capillary Rise in Tubes with Circular and Noncircular Cross Sections

2014

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An extensive experimental study of the kinetics of capillary rise in borosilicate glass tubes of different sizes and cross-sectional shapes using various fluid systems and tube tilt angles is presented. The investigation is focused on the direct measurement of dynamic contact angle and its variation with the velocity of the moving meniscus (or capillary number) in capillary rise experiments. We investigated this relationship for different invading fluid densities, viscosities, and surface tensions. For circular tubes, the measured dynamic contact angles were used to obtain rise-versus-time values that agree more closely with their experimental counterparts (also reported in this study) than those predicted by Washburn equation using a fixed value of contact angle. We study the predictive capabilities of four empirical correlations available in the literature for velocity-dependence of dynamic contact angle by comparing their predicted trends against our measured values. We also present measurements of rise in noncircular capillary tubes where rapid advancement of arc menisci in the corners ahead of main terminal meniscus impacts the dynamics of rise. Using the extensive set of experimental data generated in this study, a new general empirical trend is presented for variation of normalized rise with dynamic contact angle that can be used in, for instance, dynamic pore-scale models of flow in porous media to predict multiphase flow behavior.

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“…In the present context of twodimensional flows, the geometry studied is not axisymmetric but a flow between two parallel plates is considered instead, like in the dissipative particle dynamics simulations of Cupelli et al [34]. This is also the case in the work of Deganello et al [18], who applied the level-set method with no-slip at the fluid-solid interface. As shown in Fig.…”

Section: Steady Translation Of a Meniscus Between Two Platesmentioning

confidence: 96%

“…Expression (5) is obtained immediately (as in De Gennes et al [16], for instance) by assuming that the three surface tensions involved in Young's equation are maintained in dynamic cases, but out of balance. Therefore, neither the more elaborate model of [17] with dynamic surface tension nor the complex expression of the net wetting force derived in [18] is considered here. This also departs from the approach of Sikalo et al [19] for volume-of-fluid simulations, where the force used misses the first term in (5).…”

Section: Governing Equationsmentioning

confidence: 99%

Extension of the natural element method to surface tension and wettability for the simulation of polymer flows at the micro and nano scales

Teyssèdre

Pierre

2013

Journal of Non-Newtonian Fluid Mechanics

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractThe natural element method is used to simulate two-dimensional viscous flows where interfacial effects must be taken into account, for application to polymer melts at the micro and nano scales. The variational formulation includes surface tension on the free surfaces, a net wetting force is applied at the contact line where the fluid reaches a solid surface, and the Navier-slip condition is used along fluid-solid interfaces. No dynamic wetting angle is prescribed, and the contact angle obtained results from the other material parameters and from overall flow conditions. A comparison with an analytical solution in a simple surface tension-driven flow is given, and contact with a rigid solid is involved in the transient spreading of a droplet and in the steady movement of a meniscus between two plates.

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Numerical simulation of dynamic contact angle using a force based formulation

Cited by 15 publications

References 32 publications

Generalised Navier boundary condition for a volume of fluid approach using a finite-volume method

Generalised Navier boundary condition for a volume of fluid approach using a finite-volume method

Experimental Investigation of Dynamic Contact Angle and Capillary Rise in Tubes with Circular and Noncircular Cross Sections

Extension of the natural element method to surface tension and wettability for the simulation of polymer flows at the micro and nano scales

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