Three dimensional flow analysis within a profile extrusion die by using control volume finite-element method

  • Kim, Jongman (School of Materials Science and Engineering, Seoul National University) ;
  • Youn, Jae-Ryoun (School of Materials Science and Engineering, Seoul National University) ;
  • Hyun, Jae-Chun (Department of Chemical Engineering, Korea University)
  • Published : 2001.06.01

Abstract

Three-dimensional flow analysis was performed by using the control volume finite-element method for design of a profile extrusion die. Because polymer melt behavior is complicated and cross-sectional shape of the profile extrusion die is changing continuously, the fluid flow within the die must be analyzed three-dimensionally. A commercially available polypropylene is used for theoretical and experimental investigations. Material properties are assumed to be constant except for the viscosity. The 5-constant modified Cross model is used for the numerical analysis. A test problem is examined in order to verify the accuracy of the numerical method. Simulations are performed for conditions of three different screw speeds and three different die temperatures. Predicted pressure distribution is compared with the experimental measurements and the results of the previous two-dimensional study. The computational results obtained by using three dimensional CVFEM agree with the experimental measurements and are more accurate than those obtained by using the two-dimensional cross-sectional method. The velocity profiles and the temperature distributions within several cross-sections of the die are given as contour plots.

Keywords

References

  1. Numer. heat tr. v.3 A new finite-element formulation for convection-diffusion problems Baliga, B.R.;S.V. Patankar
  2. Numer. heat tr. v.6 A control volume finiteelement method for two-dimensional fluid flow and heat transfer Baliga, B.R.;S.V. Patankar
  3. Handbook of Numerical Heat Transfer, Elliptic systems: Finite-element method φ Baliga, B.R.;S.V. Patankar
  4. Int. J. Numer. Meth. Eng. v.11 An upwind finite element scheme for two-dimensional convective transport equation Heinrich, J.C.;P.S. Huyakorn;O.C. Zienkiewicz;A.R. Mitchell
  5. Int. J. Numer. Meth. Eng. v.11 Quadratic finite element schemes for two-dimensional convective-transport problem Heinrich, J.C.;P.S. Huyakorn;O.C. Zienkiewicz;A.R. Mitchell
  6. Numer. heat tr. v.14 Evaluation and enhancements of some control volume finite-element method Part 2. Incompressible fluid flow problems Hookey, N.A.;B.R. Baliga
  7. J. Comp. Phy. v.30 Review of finite element analysis of incompressible viscous flows by the penalty function formulation Hughes, T.J.R.;W.K. Liu;A. Brooks
  8. Polym. Eng. Sci. v.33 Numerical simulation of profile extrusion dies without flow separation Hurez, P.;P.A. Tanguy
  9. Appl. Math. Model. v.1 Solution to steady-state convective transport equation using an upwind finite element scheme Huyakorn, P.S.
  10. Poly. Eng. Sci. v.39 Numerical simulation of three-dimensional viscoelastic flow within dies Kihara, S.;T. Gouda;K. Matsunaga;K. Funatsu
  11. Polym. Eng. Sci. v.30 An improved flow analysis network (FAN) method for irregular geometries Lee, C.C.
  12. Int. J. Mach. Tool. Manu. v.40 A three-dimensional steady-state finite element analysis of square die extrusion by using automatic mesh generation Lee, C.M.;D.Y. Yang
  13. Polymer Processing Morton-Jones, D.H.
  14. Numerical heat transfer and fluid flow Patankar, S.V.
  15. Numer. heat tr. v.9 An improved control-volume finite-element method for heat and mass transfer and for fluid flow using equal-order velocity-pressure interpolation Prakash, C.
  16. Fibers and Polymers v.1 Flow analysis of profile extrusion by a modified cross-sectional numerical method Seo, D.;J.R. Youn
  17. Numer. heat tr. Part B v.22 Streamline upwind scheme for control-volume finite elements Part 1. Formulation Swanminathan, C.R.;V. R. Voller
  18. Polym. Eng. Sci. v.14 Flow analysis network (FAN) A method for solving flow problems in polymer processing Tadmor, Z.;E. Broyer