The University of Southampton
University of Southampton Institutional Repository

Simulation of coating layer evolution and drop formation on horizontal cylinders

Weidner, David E., Schwartz, Leonard W. and Eres, Murat H. (1997) Simulation of coating layer evolution and drop formation on horizontal cylinders Journal of Colloid and Interface Science, 187, (1), pp. 243-258. (doi:10.1006/jcis.1996.4711).

Record type: Article


The lubrication form of the equations governing the flow of a thin liquid film on a horizontal right circular cylinder is derived. The equations are discretized and solved numerically using an alternating-direction implicit algorithm. Simulations demonstrate that the transition from a uniform coating to a final configuration of distinct drops follows a similar evolution for a wide range of cylinder radii. Initially gravity-driven drainage from the top and sides of the cylinder dampens the formation of any axial disturbances; only when this drainage slows do longitudinal waves begin to develop along the bottom of the cylinder. These waves grow rapidly and a series of alternating primary and satellite drops form during the transition from a linear to a nonlinear wave growth regime. This is followed by a slow drainage between adjacent drops as the drop pattern approaches an equilibrium state where surface tension forces exactly balance gravitational forces in each discrete drop. For large cylinder radii, these drops are localized on the bottom of the cylinder, while, for sufficiently small cylinder radii, these drops may wrap around the entire circumference of the cylinder. Integral measures of the evolving coating profile, such as the total energy and viscous dissipation rate, clearly show these growth phases. The equilibrium shape of large-amplitude pendant drops and the maximum sustainable drop volume for various cylinders are also considered.

Full text not available from this repository.

More information

Published date: 1 March 1997
Keywords: coating flows, drop formation, three-dimensional simulation, curved substrates


Local EPrints ID: 46394
ISSN: 0021-9797
PURE UUID: 50892d57-bde4-414d-955d-b5bf23ae49d0

Catalogue record

Date deposited: 27 Jun 2007
Last modified: 17 Jul 2017 15:07

Export record



Author: David E. Weidner
Author: Leonard W. Schwartz
Author: Murat H. Eres

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.