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
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.
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