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On The Effect of THE Wall Slip BOUNDARY Condition

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Presentation on theme: "On The Effect of THE Wall Slip BOUNDARY Condition"— Presentation transcript:

1 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, Guimarães, Portugal 2 University of Porto, Centro de Estudos de Fenómenos de Transporte, Faculdade de Engenharia, Rua Dr. Roberto Frias s/n, Porto, Portugal IPC - Institute for Polymers and Composites University of Minho Portugal

2 • 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

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

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

5 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

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

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

8 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)

9 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)

10 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

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

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

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

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

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

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

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

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

19 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

52 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

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

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

55 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

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

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

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

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

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

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

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

63 The end

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