Hayes, M. A.; O’Brien, S. B. G. The fluid profile during spin-coating over a small sinusoidal topography. (English) Zbl 1155.76329 Int. J. Math. Math. Sci. 2004, No. 41-44, 2279-2298 (2004). Summary: 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. MSC: 76D45 Capillarity (surface tension) for incompressible viscous fluids 76D08 Lubrication theory 76A20 Thin fluid films 34E10 Perturbations, asymptotics of solutions to ordinary differential equations PDFBibTeX XMLCite \textit{M. A. Hayes} and \textit{S. B. G. O'Brien}, Int. J. Math. Math. Sci. 2004, No. 41--44, 2279--2298 (2004; Zbl 1155.76329) Full Text: DOI EuDML