On The Effect of THE Wall Slip BOUNDARY Condition

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Presentation transcript:

On The Effect of THE Wall Slip BOUNDARY Condition L. L. Ferrás1, J. M. Nóbrega1 , F. T. Pinho 2, O. S.Carneiro1 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 IPC - Institute for Polymers and Composites University of Minho Portugal

• Computational fluid dynamics (Cfd) • extrusion • Friction - slip CFD • Case study I 4:1 contraction Extrusion Friction - Slip • Case study II extrusion die Case Study I Case Study II

CFD Extrusion Friction - Slip Case Study I Case Study II

CFD Extrusion Friction - Slip Case Study I Case Study II

Equations: Conservation of Mass: Conservation of Momentum: Constitutive Equation (simplified PTT): CFD Extrusion Friction - Slip Case Study I Case Study II Linear Exponential no-slip boundary condition

CFD Extrusion Friction - Slip Case Study I Case Study II

CFD Extrusion Friction - Slip Case Study I Case Study II

numerical Experimental CFD Extrusion Friction - Slip Case Study I Case Study II Experimental 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

numerical CFD Extrusion Friction - Slip Case Study I Case Study II 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

Extrusion: CFD Extrusion Friction - Slip Case Study I Case Study II polymer hopper extrusion die melt CFD water Extrusion Friction - Slip Case Study I Case Study II cooling system screw screw drive motor band heaters

Extrusion dIE: CFD Extrusion Friction - Slip Case Study I Case Study II

Friction: solids CFD Extrusion Friction - Slip Case Study I Case Study II

Friction: solids CFD Extrusion Friction - Slip Case Study I Case Study II

Friction: Fluids CFD Extrusion Friction - Slip Case Study I Case Study II

? Friction: Fluids solid liquid CFD Surface roughness Extrusion wetting Friction - Slip ? Case Study I Case Study II Shear rate Molecular interaction pressure

CFD Extrusion Friction - Slip Case Study I Case Study II water Viscoelastic fluid

CFD Extrusion Friction - Slip Case Study I Case Study II tangent stress vector slip coefficient slip velocity

Equations: Conservation of Mass: Conservation of Momentum: Constitutive Equation (simplified PTT): CFD Extrusion Friction - Slip Case Study I Case Study II slip boundary condition

No Solve Momentum and Mass Conservation Equations Solve Constitutive Equation Solve Momentum and Mass Conservation Equations Convergence? No Remove the boundary velocity from the momentum equation CFD Extrusion Friction - Slip Case Study I Case Study II Compute velocity at the Boundary

• Case study I 4:1 contraction CFD • Case study I 4:1 contraction Extrusion Friction - Slip Case Study I Case Study II

A CFD Extrusion Friction - Slip Case Study I Case Study II

B CFD Extrusion Friction - Slip Case Study I Case Study II

Ba CFD Extrusion Friction - Slip Case Study I Case Study II

Bb CFD Extrusion Friction - Slip Case Study I Case Study II

Bc CFD Extrusion Friction - Slip Case Study I Case Study II

Bd CFD Extrusion Friction - Slip Case Study I Case Study II

C CFD Extrusion Friction - Slip Case Study I Case Study II

Ca CFD Extrusion Friction - Slip Case Study I Case Study II

Caa CFD Extrusion Friction - Slip Case Study I Case Study II

Cab CFD Extrusion Friction - Slip Case Study I Case Study II

Cac CFD Extrusion Friction - Slip Case Study I Case Study II

Cad CFD Extrusion Friction - Slip Case Study I Case Study II

Cb CFD Extrusion Friction - Slip Case Study I Case Study II

Cc CFD Extrusion Friction - Slip Case Study I Case Study II

Cd CFD Extrusion Friction - Slip Case Study I Case Study II

D CFD Extrusion Friction - Slip Case Study I Case Study II

Da CFD Extrusion Friction - Slip Case Study I Case Study II

Db CFD Extrusion Friction - Slip Case Study I Case Study II

Dc CFD Extrusion Friction - Slip Case Study I Case Study II

Dd CFD Extrusion Friction - Slip Case Study I Case Study II

E CFD Extrusion Friction - Slip Case Study I Case Study II

Ea CFD Extrusion Friction - Slip Case Study I Case Study II

Eb CFD Extrusion Friction - Slip Case Study I Case Study II

Ed CFD Extrusion Friction - Slip Case Study I Case Study II

F CFD Extrusion Friction - Slip Case Study I Case Study II

Fa CFD Extrusion Friction - Slip Case Study I Case Study II

Fb CFD Extrusion Friction - Slip Case Study I Case Study II

Fc CFD Extrusion Friction - Slip Case Study I Case Study II

Fd CFD Extrusion Friction - Slip Case Study I Case Study II

G CFD Extrusion Friction - Slip Case Study I Case Study II

H CFD Extrusion Friction - Slip Case Study I Case Study II

x/H Ucenter/U2 CFD Extrusion Friction - Slip Case Study I Case Study II x/H Ucenter= velocity along the center of the flow channel

• Case study II extrusion die CFD • Case study II extrusion die Extrusion Friction - Slip Case Study I Case Study II

CFD Extrusion Friction - Slip Case Study I Case Study II

3D non-isothermal flow field calculation (FVM) Performance Evaluation Pre-Processor Geometry Mesh 3D non-isothermal flow field calculation (FVM) Velocity Pressure Temperature 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

CFD Extrusion Friction - Slip Case Study I Case Study II

CFD Extrusion Friction - Slip Case Study I Case Study II K=0

CFD Extrusion Friction - Slip Case Study I Case Study II K=0.25E-8

CFD Extrusion Friction - Slip Case Study I Case Study II K=0.25E-7

CFD Extrusion Friction - Slip Case Study I K=1.0E-7 Case Study II

CFD Extrusion Friction - Slip Case Study I K=0.25E-6 Case Study II

CFD Extrusion Friction - Slip Case Study I Case Study II K=1.0E-6

The end