RT Journal Article T1 Dip-coating flow in the presence of two immiscible liquids A1 Champougny, Lorene Elizabeth C. A1 Scheid, Benoit A1 Korobkin, Alexander A1 Rodríguez Rodríguez, Francisco Javier AB Dip coating is a common technique used to cover a solid surface with a thin liquid film,the thickness of which was successfully predicted by the theory developed in the 1940s byLandau & Levich (Acta Physicochem. URSS, vol. 17, 1942, pp. 141–153) and Derjaguin(Acta Physicochem. URSS, vol. 20, 1943, pp. 349–352). In this work, we present anextension of their theory to the case where the dipping bath contains two immiscibleliquids, one lighter than the other, resulting in the entrainment of two thin films on thesubstrate. We report how the thicknesses of the coated films depend on the capillarynumber, on the ratios of the properties of the two liquids and on the relative thicknessof the upper fluid layer in the bath. We also show that the liquid/liquid and liquid/gasinterfaces evolve independently from each other as if only one liquid were coated, exceptfor a very small region where their separation falls quickly to its asymptotic value andthe shear stresses at the two interfaces peak. Interestingly, we find that the final coatedthicknesses are determined by the values of these maximum shear stresses. PB Cambridge University Press SN 0022-1120 YR 2021 FD 2021-07-13 LK https://hdl.handle.net/10016/34119 UL https://hdl.handle.net/10016/34119 LA eng NO L.C. acknowledges funding from the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement no. 882429. B.S. thanks the F.R.S-FNRS for financial support. A.A.K. thanks Universidad Carlos III de Madrid and Banco Santander for the financial support of his Chair of Excellence. J.R.-R. acknowledges the support of the Spanish Ministry of Economy and Competitiveness through grants DPI2017-88201-C3-3-R and DPI2018-102829-REDT, partly funded with European funds DS e-Archivo RD 27 jul. 2024