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Dip coating in the presence of a substrate-liquid interaction potential

Krechetnikov, R. and Homsy, G. M. (2005) Dip coating in the presence of a substrate-liquid interaction potential. Physics of Fluids, 17 (10). Art. No. 102105. ISSN 1070-6631. doi:10.1063/1.2107927.

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In this work we investigate theoretically the Landau-Levich problem of dip coating in the presence of a strong interaction potential normal to the substrate. This study is motivated by dip coating at very low capillary numbers when the deposited film thickness is less than 1 µm and such interaction forces become important. The objective of this work is to demonstrate that in the presence of an extra body force the solution procedure differs significantly from the classical one and leads to substantial deviations from the Landau-Levich law for the entrained film thickness. In particular, attractive potentials produce film thickening and the resulting film thickness is independent of speed to lowest order. Repulsive potentials bring about more complicated behavior and lead either to films whose thickness is also independent of speed, or to a modification of the leading order constant in the classical Ca^(2/3) law. Demonstration of these effects is given for a model potential. The analysis is generally applicable to many physical situations when there is an interaction between a coating liquid and a substrate, e.g., dip coating of ferromagnetic liquids on magnetic substrates, or dip coating of liquids carrying charges.

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Additional Information:© 2005 American Institute of Physics. Received 24 March 2005; accepted 14 September 2005; published 19 October 2005. This work was supported by the Office of Basic Energy Sciences, U.S. Dept. of Energy.
Issue or Number:10
Record Number:CaltechAUTHORS:KREpof05
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10054
Deposited By: Tony Diaz
Deposited On:08 Apr 2008
Last Modified:08 Nov 2021 21:04

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