Applied Physics Letters · 1993 · 19 citations · 9 references
Natural SciencesMechanical EngineeringPhysicsFlow VisualizationFluid DynamicsMicrofabricationFlow StabilityGas-liquid FlowHydrodynamic StabilityVortex DynamicsVortex VisualizationVorticity DynamicsCritical Reynolds NumberEkman InstabilityGas FlowLinear StabilityLinear Stability AnalysisLinear Stability TheoryOperating ConditionsReynolds Number
Flow visualization in the gas above the surface of a rotating wafer in an industrial spin coating apparatus demonstrates the presence of an Ekman-like flow instability that adversely affects the uniformity of the dried film. Experiments performed with a 6-in.-diam wafer and typical operating conditions show 6–8 spiral vortices around the wafer oriented with negative angle, as is indicative of the type II flow instability predicted by linear stability analysis. The critical Reynolds number for onset is in reasonable agreement with the theory.
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Instability and transition in rotating disk flow
Mujeeb R. Malik, Stephen Wilkinson, Steven A. Orszag · AIAA Journal · 1981 · 228 citations · Full text