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• W2071766879 abstract "A mathematical model is developed for fluid flow in the spin coating process. Spin coating employs centrifugal force to produce coatings of uniform thickness. The long-wave or lubrication approximation is used for the flow of thin liquid layers that are exposed to the air and lie on a spinning horizontal solid substrate. For low rotation rates, steady axisymmetric drop shapes can be found analytically. The stability of these drops is investigated, using an energy method, both with and without the long-wave approximation. For industrially relevant high-speed motions, we formulate and solve a theoretical and numerical model for the three-dimensional time-dependent motion of the deforming drop. We pay particular attention to the formation of “fingers” at the expanding front. The model includes viscous, capillary, gravitational, centrifugal, Coriolis, and finite-contact-angle effects. Both homogeneous and chemically heterogeneous substrates are considered. In agreement with published experiments, the model demonstrates that imperfect wetting behavior is the principal cause of fingering during spin coating. Features of the finger profiles are in close agreement with experimental observations." @default.
• W2071766879 created "2016-06-24" @default.
• W2071766879 creator A5008113640 @default.
• W2071766879 creator A5087116432 @default.
• W2071766879 date "2004-01-26" @default.
• W2071766879 modified "2023-10-14" @default.
• W2071766879 title "Theoretical and numerical results for spin coating of viscous liquids" @default.
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• W2071766879 doi "https://doi.org/10.1063/1.1637353" @default.
• W2071766879 hasPublicationYear "2004" @default.
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