International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2004 / Article

Open Access

Volume 2004 |Article ID 494359 | https://doi.org/10.1155/S0161171204308136

M. A. Hayes, S. B. G. O'Brien, "The fluid profile during spin-coating over a small sinusoidal topography", International Journal of Mathematics and Mathematical Sciences, vol. 2004, Article ID 494359, 20 pages, 2004. https://doi.org/10.1155/S0161171204308136

The fluid profile during spin-coating over a small sinusoidal topography

Received15 Aug 2003

Abstract

We consider spin-coating over a small sinusoidal topography modelling the physical problem of the coating of a television screen. This involves depositing a phosphor layer on a substrate with a precoating consisting of small parallel striations. Despite the fact that the basic flow is radial, we show that the final liquid coating does not have radial variation; rather, it varies according to the underlying topography. We use a thin film model resulting in an evolution equation for the fluid thickness and sketch several techniques for obtaining approximate solutions in appropriate limiting situations.

Copyright © 2004 Hindawi Publishing Corporation. 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.


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