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L. L. Ferrás 1 , J. M. Nóbrega 1 , F. T. Pinho 2 , O. S.Carneiro 1 1 IPC – Institute for Polymers and Composites, University of Minho, Campus de Azurém, 4800-058 Guimarães, Portugal 2 University of Porto, Centro de Estudos de Fenómenos de Transporte, Faculdade de Engenharia, Rua Dr. Roberto Frias s/n, 4200-465 Porto, Portugal ON THE EFFECT OF THE WALL SLIP BOUNDARY CONDITION IPC - Institute for Polymers and Composi University of Minho Portugal

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L. L. Ferrs 1 L. L. Ferrs 1, J. M. Nbrega 1, F. T. Pinho 2, O. S.Carneiro 1 1 IPC Institute for Polymers and Composites, University of Minho, Campus de Azurm, 4800-058 Guimares, Portugal 2 University of Porto, Centro de Estudos de Fenmenos de Transporte, Faculdade de Engenharia, Rua Dr. Roberto Frias s/n, 4200-465 Porto, Portugal ON THE EFFECT OF THE WALL SLIP BOUNDARY CONDITION IPC - Institute for Polymers and Composites University of Minho Portugal Slide 2 CFD COMPUTATIONAL FLUID DYNAMICS (CFD) EXTRUSION FRICTION - SLIP CASE STUDY I 4:1 CONTRACTION Extrusion Friction - Slip Case Study I CASE STUDY II EXTRUSION DIE Case Study II Slide 3 CFD Extrusion Friction - Slip Case Study I Case Study II Slide 4 CFD Extrusion Friction - Slip Case Study I Case Study II Slide 5 Conservation of Mass: Conservation of Momentum: Constitutive Equation (simplified PTT): Linear Exponential CFD Extrusion Friction - Slip Case Study I Case Study II EQUATIONS: no-slip boundary condition Slide 6 CFD Extrusion Friction - Slip Case Study I Case Study II Slide 7 CFD Extrusion Friction - Slip Case Study I Case Study II Slide 8 EXPERIMENTAL NUMERICAL MA Alves,FT Pinho, PJ Oliveira. Viscoelastic flow in a 3D square/square contraction: visualizations and simulations. Journal of Rheology 52(6) (2008) 1347-1368 CFD Extrusion Friction - Slip Case Study I Case Study II Slide 9 NUMERICAL AM Afonso, PJ Oliveira, FT Pinho, MA Alves, Dynamics of high-Deborah-number entry flows - A numerical study. Journal of Fluid Mechanics 677 (2011) 277-304 CFD Extrusion Friction - Slip Case Study I Case Study II Slide 10 band heaters screw polymer extrusion die cooling system water melt CFD Extrusion Friction - Slip Case Study I Case Study II EXTRUSION: hopper screw drive motor Slide 11 EXTRUSION DIE: CFD Extrusion Friction - Slip Case Study I Case Study II Slide 12 FRICTION: SOLIDS CFD Extrusion Friction - Slip Case Study I Case Study II Slide 13 FRICTION: SOLIDS CFD Extrusion Friction - Slip Case Study I Case Study II Slide 14 FRICTION: FLUIDS CFD Extrusion Friction - Slip Case Study I Case Study II Slide 15 FRICTION: FLUIDS ? SOLID LIQUID SURFACE ROUGHNESS MOLECULAR INTERACTION WETTING SHEAR RATE PRESSURE CFD Extrusion Friction - Slip Case Study I Case Study II Slide 16 CFD Extrusion Friction - Slip Case Study I Case Study II WATER VISCOELASTIC FLUID Slide 17 slip velocity slip coefficient tangent stress vector CFD Extrusion Friction - Slip Case Study I Case Study II Slide 18 Conservation of Mass: Conservation of Momentum: Constitutive Equation (simplified PTT): EQUATIONS: slip boundary condition CFD Extrusion Friction - Slip Case Study I Case Study II Slide 19 Solve Constitutive Equation Solve Momentum and Mass Conservation Equations Convergence? No Remove the boundary velocity from the momentum equation Compute velocity at the Boundary CFD Extrusion Friction - Slip Case Study I Case Study II Slide 20 CASE STUDY I 4:1 CONTRACTION CFD Extrusion Friction - Slip Case Study I Case Study II Slide 21 A CFD Extrusion Friction - Slip Case Study I Case Study II Slide 22 B CFD Extrusion Friction - Slip Case Study I Case Study II Slide 23 Ba CFD Extrusion Friction - Slip Case Study I Case Study II Slide 24 Bb CFD Extrusion Friction - Slip Case Study I Case Study II Slide 25 Bc CFD Extrusion Friction - Slip Case Study I Case Study II Slide 26 Bd CFD Extrusion Friction - Slip Case Study I Case Study II Slide 27 C CFD Extrusion Friction - Slip Case Study I Case Study II Slide 28 Ca CFD Extrusion Friction - Slip Case Study I Case Study II Slide 29 Caa CFD Extrusion Friction - Slip Case Study I Case Study II Slide 30 Cab CFD Extrusion Friction - Slip Case Study I Case Study II Slide 31 Cac CFD Extrusion Friction - Slip Case Study I Case Study II Slide 32 Cad CFD Extrusion Friction - Slip Case Study I Case Study II Slide 33 Cb CFD Extrusion Friction - Slip Case Study I Case Study II Slide 34 Cc CFD Extrusion Friction - Slip Case Study I Case Study II Slide 35 Cd CFD Extrusion Friction - Slip Case Study I Case Study II Slide 36 D CFD Extrusion Friction - Slip Case Study I Case Study II Slide 37 Da CFD Extrusion Friction - Slip Case Study I Case Study II Slide 38 Db CFD Extrusion Friction - Slip Case Study I Case Study II Slide 39 Dc CFD Extrusion Friction - Slip Case Study I Case Study II Slide 40 Dd CFD Extrusion Friction - Slip Case Study I Case Study II Slide 41 E CFD Extrusion Friction - Slip Case Study I Case Study II Slide 42 Ea CFD Extrusion Friction - Slip Case Study I Case Study II Slide 43 Eb CFD Extrusion Friction - Slip Case Study I Case Study II Slide 44 Ed CFD Extrusion Friction - Slip Case Study I Case Study II Slide 45 F CFD Extrusion Friction - Slip Case Study I Case Study II Slide 46 Fa CFD Extrusion Friction - Slip Case Study I Case Study II Slide 47 Fb CFD Extrusion Friction - Slip Case Study I Case Study II Slide 48 Fc CFD Extrusion Friction - Slip Case Study I Case Study II Slide 49 Fd CFD Extrusion Friction - Slip Case Study I Case Study II Slide 50 G CFD Extrusion Friction - Slip Case Study I Case Study II Slide 51 H CFD Extrusion Friction - Slip Case Study I Case Study II Slide 52 U center /U 2 U center = velocity along the center of the flow channel x y x/H CFD Extrusion Friction - Slip Case Study I Case Study II Slide 53 CASE STUDY II EXTRUSION DIE CFD Extrusion Friction - Slip Case Study I Case Study II Slide 54 CFD Extrusion Friction - Slip Case Study I Case Study II Slide 55 Pre-Processor Geometry Mesh 3D non-isothermal flow field calculation (FVM) VelocityPressureTemperature Trial Parameters Performance Evaluation Modification of the controllable geometrical parameters until the optimum is reached CFD Extrusion Friction - Slip Case Study I Case Study II Slide 56 CFD Extrusion Friction - Slip Case Study I Case Study II Slide 57 CFD Extrusion Friction - Slip Case Study I Case Study II K=0 Slide 58 CFD Extrusion Friction - Slip Case Study I Case Study II K=0.25E-8 Slide 59 CFD Extrusion Friction - Slip Case Study I Case Study II K=0.25E-7 Slide 60 CFD Extrusion Friction - Slip Case Study I Case Study II K=1.0E-7 Slide 61 CFD Extrusion Friction - Slip Case Study I Case Study II K=0.25E-6 Slide 62 CFD Extrusion Friction - Slip Case Study I Case Study II K=1.0E-6 Slide 63 THE END


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