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Physics of Fluids / Volume 24 / Issue 2 / ARTICLES / Interfacial Flows

Phys. Fluids 24, 022107 (2012); http://dx.doi.org/10.1063/1.3680872 (13 pages)

Dip coating with an interaction potential normal to the substrate

C. Vannozzi

Chemical Engineering Department, University of California Santa Barbara, Santa Barbara, California 93106, USA

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(Received 17 November 2011; accepted 30 December 2011; published online 16 February 2012)

Dip coating in the presence of a substrate-liquid interaction potential normal to the substrate, previously theoretically investigated by R. Krechetnikov and G. M. Homsy [Phys. Fluids 17, 038101 (2005)], was revisited. Their solution procedure leads to predictions of the entrained film thickness h∞* that deviate substantially from the classical Landau-Levich law because of the impossibility to identify meniscus solutions satisfying the proper boundary conditions of zero thickness and zero apparent contact angle on the solid substrate (L-L BC’s). In contrast, in the present analysis, by choosing a different method of integration and requiring the satisfaction of the boundary condition of flat bath for large, but finite, meniscus thickness, we obtain solutions subject to L-L BC's for the same parameter range studied in Krechetnikov and Homsy's paper. Thus, the matching follows a modified Landau-Levich law, where h∞* is inversely proportional to the meniscus curvature at the substrate. Since the interaction potential changes considerably this curvature, the entrained film significantly thickens for attractive interactions or thins for repulsive ones. Similar results are also found for a potential of the Debye-Hückel form.

© 2012 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. THEORETICAL METHOD
    1. Governing equations
    2. Matching the static meniscus with the transition layer-Constraints on λ and l D
    3. Numerical procedure and validation
  3. RESULTS AND DISCUSSION
    1. Film shapes for different λ
    2. Potential of the Deby-Hückel type
  4. CONCLUSIONS

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KEYWORDS, PACS, and IPC

Keywords

contact angle, Debye-Huckel theory, dip coating, film flow, stratified flow

PACS

International Patent Classification (IPC)

  • B05D1/18

    Performed by dipping

  • C23C2/00

    Hot-dipping or immersion processes for applying the coating material in the molten state without affecting the shape; Apparatus therefor

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3680872

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    R. Krechetnikov and G. M. Homsy, “Experimental study of substrate roughness and surfactant effects on the Landau-Levich law,” Phys. Fluids 17, 102108 (2005)PHFLE6000017000010102108000001.

    R. Krechetnikov and G. M. Homsy, “Dip coating in the presence of a substrate-liquid interaction potential,” Phys. Fluids 17(10), 102105 (2005)PHFLE6000017000010102105000001.


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