Eur. Phys. J. Special Topics 229, 1923–1934 (2020)
https://doi.org/10.1140/epjst/e2020-000004-0

Regular Article

Dynamic wetting failure in curtain coating by the Volume-of-Fluid method

Volume-of-Fluid simulations on quadtree meshes

Sorbonne Université, CNRS, Institut Jean le Rond d’Alembert, UMR 7190, 75005 Paris, France

^a e-mail: tomas.fullana@upmc.fr

Received: 15 January 2020
Accepted: 6 July 2020
Published online: 14 September 2020

Abstract

In this paper, we investigate dynamic wetting in the curtain coating configuration. The two-phase Navier–Stokes equations are solved by a Volume-of-Fluid method on an adaptive Cartesian mesh. We introduce the Navier boundary condition to regularize the solution at the triple point and remove the implicit numerical slip induced by the cell-centered interface advection. We use a constant contact angle to describe the dynamic contact line. The resolution of the governing equations allows us to predict the substrate velocity at which wetting failure occurs. The model predictions are compared with prior computations of Liu et al. [C.Y. Liu, E. Vandre, M. Carvalho, S. Kumar, J. Fluid Mech. 808, 290 (2016); C.Y. Liu, M. Carvalho, S. Kumar, Chem. Eng. Sci. 195, 74 (2019)] and experimental observations of Blake et al. [T. Blake, M. Bracke, Y. Shikhmurzaev, Phys. Fluids 11, 1995 (1999)] and Marston et al. [J. Marston, V. Hawkins, S. Decent, M. Simmons, Exp. Fluids 46, 549 (2009)].