International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 6, Pages 313-324

A model for dip-coating of a two liquid mixture

S. B. G. O'Brien and M. Hayes

Department of Mathematics, University of Limerick, Limerick, Ireland

Received 24 January 2001; Revised 19 June 2001

Copyright © 2002 S. B. G. O'Brien and M. Hayes. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider a thin film flow where a flat substrate is coated with a mixture of two miscible liquids, of equal viscosity, and develop a model to predict the evolving coating thicknesses. The developed model can, under certain circumstances, be used as an approximation for the dip-coating of a liquid suspension of a viscous volatile liquid and solid solute as occurs in many industrial applications.