0117.pdf - Flows in thin Film Coating Christian Kuschel...

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Flows in thin Film Coating Christian Kuschel University Erlangen-Nuremberg December 15, 2011 C. Kuschel (FAU Erlangen) Flows in thin Film Coating 12/16/2011 1 / 38
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Outline 1 Introduction into Coating 2 Slot Coater in Bead Mode 3 Conclusion C. Kuschel (FAU Erlangen) Flows in thin Film Coating 12/16/2011 2 / 38
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Why Coating? Bestow visual effects to material Bestow function to material Bestow protection/barrier to material C. Kuschel (FAU Erlangen) Flows in thin Film Coating 12/16/2011 3 / 38
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Different Coating Procedures Self-Metered Coating Pre-Metered Coating Liquid Substrate Dip Coating : Coating thickness dependent on process Liquid Substrate Coated Substrate Lip Lip Slot Coating in Bead Mode : Coating thickness independent on process C. Kuschel (FAU Erlangen) Flows in thin Film Coating 12/16/2011 4 / 38
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Advantage of Pre-Metered Coating Liquid Substrate m U w h Mass Conservation ˙ m = h · U w · ρ Consequences for Slot Coating Coating fluid directly applied to substrate No excess of coating fluid needed C. Kuschel (FAU Erlangen) Flows in thin Film Coating 12/16/2011 5 / 38
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Components of a Slot Coating System Container Pump Pulsation Damper Filter Measurement Unit Slot Die m control Good feeding process is essential for perfect coating Slot coating is a closed system C. Kuschel (FAU Erlangen) Flows in thin Film Coating 12/16/2011 6 / 38
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Example: FMP Slot Coating Machinery Coating Direction Coated Substrate Pressure Control Feeding Pipes Slot Coating Die C. Kuschel (FAU Erlangen) Flows in thin Film Coating 12/16/2011 7 / 38
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Eye on the Flow of the Fluid Liquid Substrate Coated Substrate We want to know . . . how to obtain perfect coating quality how to configure the machinery before coating C. Kuschel (FAU Erlangen) Flows in thin Film Coating 12/16/2011 8 / 38
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Parameters in Slot Coating in Bead Mode Liquid Substrate Coated Substrate Fixed Parameters Properties of the coating liquid (density, viscosity, surface tension) Coating height h Length of lip of slot die l Variable Parameters Distance between substrate and slot die D (Substrate velocity U w ) (Mass flow rate ˙ m ) C. Kuschel (FAU Erlangen) Flows in thin Film Coating 12/16/2011 9 / 38
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Roadmap Liquid Substrate m U w Goal Express coating with respect to variable parameters Way to the Goal Investigate coating flow analytically C. Kuschel (FAU Erlangen) Flows in thin Film Coating 12/16/2011 10 / 38
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Characterization of the Coating Flow Liquid Substrate Coated Substrate Coating Flow consists of . . . Only plane flows Flows between two plates Fluid transported by substrate Fluid influenced by pressure C. Kuschel (FAU Erlangen) Flows in thin Film Coating 12/16/2011 11 / 38
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Fundamental Formulas Starting Formulas Continuity equation: ∂ρ t + ( ρ U i ) x i = 0 Navier-Stokes equations ( j = 1 , 2 ): ρ U j t + U i U j x i = - P x j + x i μ U j x i - U i x j + 2 3 μδ ij U k x k + ρ g j Assumptions Restrictions to Newtonian fluids Constant density ρ and viscosity μ Consider 2D Navier-Stokes equations of stationary, fully developed flows C. Kuschel (FAU Erlangen) Flows in thin Film Coating 12/16/2011 12 / 38
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