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Coating of a textured solid

Published online by Cambridge University Press:  16 February 2011

JACOPO SEIWERT ,
CHRISTOPHE CLANET  and
DAVID QUÉRÉ
JACOPO SEIWERT
Affiliation:
Physique et Mécanique des Milieux Hétérogènes, UMR 7636 du CNRS, ESPCI, 75005 Paris, France Ladhyx, UMR 7646 du CNRS, École Polytechnique, 91128 Palaiseau CEDEX, France
CHRISTOPHE CLANET
Affiliation:
Physique et Mécanique des Milieux Hétérogènes, UMR 7636 du CNRS, ESPCI, 75005 Paris, France Ladhyx, UMR 7646 du CNRS, École Polytechnique, 91128 Palaiseau CEDEX, France
DAVID QUÉRÉ*
Affiliation:
Physique et Mécanique des Milieux Hétérogènes, UMR 7636 du CNRS, ESPCI, 75005 Paris, France Ladhyx, UMR 7646 du CNRS, École Polytechnique, 91128 Palaiseau CEDEX, France
*
†Email address for correspondence: [email protected]
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Abstract

We discuss how a solid textured with well-defined micropillars entrains a film when extracted out of a bath of wetting liquid. At low withdrawal velocity V, it is shown experimentally that the film exactly fills the gap between the pillars; its thickness hd is independent of V and corresponds to the pillar height hp. At larger velocity, hd slowly increases with V and tends towards the Landau–Levich–Derjaguin (LLD) thickness hLLD observed on a flat solid. We model the entrainment by adapting the LLD theory to a double layer consisting of liquid trapped inside the texture and covered by a free film. This model allows us to understand quantitatively our different observations and to predict the transition between hp and hLLD.

JFM classification

Materials Processing Flows: Coating Interfacial Flows (free surface): Interfacial Flows (free surface) Low-Reynolds-number flows: Lubrication theory
Type
Papers
Information
Journal of Fluid Mechanics , Volume 669 , 25 February 2011 , pp. 55 - 63
Copyright
Copyright © Cambridge University Press 2011

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