Numerical prediction of three-dimensional time-dependent viscoelastic extrudate swell using differential and algebraic models

Computers and Fluids

Volumn 44, Issue 1, 2011, Pages 68-78

  Mompean, G ^a,b   Thais, L ^a,b   Tome M F ^c   Castelo, A ^c  

^a UNIV LILLE   (France)

^b LABORATOIRE DE MÉCANIQUE DE LILLE   (France)

^c UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Algebraic viscoelastic model; Extrudate swell; Finite difference method; Three dimensional free surface flows; Viscoelastic fluids

Indexed keywords

ALGEBRAIC MODELS; ALGEBRAIC REPRESENTATIONS; ANALYTIC SOLUTION; COMPUTATIONAL WORKLOAD; EXPLICIT MODELS; EXTRUDATE SWELL; EXTRUDATES; FLOW PHENOMENA; FREE SURFACES; FREE-SURFACE FLOW; MARKER-AND-CELL; MOMENTUM CONSERVATIONS; NON-NEWTONIAN; NUMERICAL PREDICTIONS; NUMERICAL SIMULATION; SCALAR QUANTITIES; STABLE FLOWS; TIME-DEPENDENT; TRANSPORT EQUATION; UCM MODEL; VELOCITY FIELD; VISCO-ELASTIC FLUID; VISCOELASTIC MODELS;

ALGEBRA; CONSTITUTIVE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); ELASTICITY; FINITE DIFFERENCE METHOD; FLUIDS; MATHEMATICAL MODELS; MAXWELL EQUATIONS; MODELS; NON NEWTONIAN FLOW; STRAIN RATE; SURFACES; THREE DIMENSIONAL COMPUTER GRAPHICS; TRANSPORT PROPERTIES; VISCOELASTICITY;

THREE DIMENSIONAL;

EID: 79952627098     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2010.12.010     Document Type: Article

References (26)

1. Alves M.A., Oliveira P.J., Pinho F.T. A convergent and universally bounded interpolation scheme for the treatment of advection. Int J Numer Methods Fluids 2003, 41:47-75.
2. Amsden A, Harlow F. The SMAC method: a numerical technique for calculating incompressible fluid flows. Technical Report, Los Alamos Scientific Laboratory Report LA-4370, Los Alamos, NM; 1970.
3. Batchelor G.K. An introduction to fluid mechanics 1967, Cambridge University Press, Cambridge.
4. Béraudo C., Fortin A., Coupez T., Demau Y., Vergnes B., Agassant J.F. A finite element method for computing the flow of multi-mode viscoelastic fluids: comparison with experiments. J Non-Newton Fluid Mech 1998, 75:1-23.
5. Bird R., Armstrong R.C., Hassager O. Dynamics of polymeric liquids. Fluid mechanics 1987, vol. 1. Wiley-Interscience. 2nd ed.
6. Brasseur E., Fyrillas M., Georgiou G., Crochet M. The time-dependent extrudate-swell problem of an Oldroyd-B fluid with slip along the wall. J Rheol 1994, 42:549-566.
7. Castelo A., Tomé M.F., McKee S., Cuminato J.A. Freeflow: an integrated simulation system for three-dimensional free surface flows. Comput Visual Sci 2000, 2:199-210.
8. Costacurta AB. Estratégias " Upwind" e Modelagem k-epsilon para Simulação Numérica de Escoamentos com Superfi{dotless}́cies Livres em Altos Números de Reynolds. Dissertação de mestrado, ICMC/USP; 2005.
9. Crochet M.J., Keunings R. Finite element analysis of die-swell of a highly elastic fluid. J Non-Newton Fluid Mech 1982, 10:339-356.
10. Guillet J., Carrot C., Kim J.F., Agassant V.B., Beraudo C., Clermont J.R., et al. Rheology for polymer processing 1996, Elsevier, Amsterdam. J.M. Piau, J.F. Agassant (Eds.).
11. Harlow F.H., Welch J.E. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys Fluids 1965, 8:2182-2189.
12. Huang D.C., White J.L. Extrudate swell from slit and capillary dies: an experimental an theoretical study. Polym Eng Sci 1979, 19:609-616.
13. Huang D.C., White J.L. Experimental and theoretical investigation of extrudate swell of polymer melts from small (length)/(cross-section) ratio slit and capillary dies. Polym Eng Sci 1980, 20:182-189.
14. Huang S.X., Lu C.J. Stress relaxation characteristics and extrudate swell of the IUPAC-LDPE melt. J Non-Newton Fluid Mech 2006, 136:147-156.
15. McKee S., Tomé M., Ferreira V., Cuminato J., Castelo A., Sousa F., et al. The MAC method. Comput Fluids 2008, 37:907-930.
16. Mompean G. On predicting abrupt contraction flows with differential and algebraic viscoelastic models. Comput Fluids 2002, 31:935-956.
17. Mompean G., Thompson R.L., Souza Mendes P.R. A general transformation procedure for differential viscoelastic models. J Non-Newton Fluid Mech 2003, 111:151-174.
18. Normandin M., Clermont J.-R., Guillet J., Reveyre C. Three-dimensional extrudate swell experimental and numerical study of a polyethylene melt obeying a memory-integral equation. J Non-Newton Fluid Mech 1999, 87:1-25.
19. Owens R.G., Phillips T.N. Computational rheology 2002, Imperial College Press. 1st ed.
20. Thais L., Helin L., Mompean G. Numerical Simulation of viscoelastic flows with Oldroyd-B constitutive equations and novel algebraic stress models. J Non-Newton Fluid Mech 2006, 140:145-177.
21. Tomé M.F., McKee S. GENSMAC: a computational marker and cell method for free surface flows in general domains. J Comput Phys 1994, 110:171-186.
22. Tomé M.F., Castelo A., Cuminato J.A., Mangiavacchi N., McKee S. GENSMAC3D: a numerical method for solving unsteady three-dimensional free surface flows. Int J Numer Methods Fluids 2001, 37:747-796.
23. Tomé M.F., Grossi L., Castelo A., Cuminato A., Mangiavacchi N., Ferreira V.G., et al. A finite difference technique for solving three-dimensional generalized Newtonian free surface flows. J Non-Newton Fluid Mech 2004, 123:85-103.
24. Tomé M.F., Castelo A., Ferreira V.G., McKee S. A finite difference technique for solving the Oldroyd-B model for 3D-unsteady free surface flows. J Non-Newton Fluid Mech 2008, 154:179-206.
25. Tomé M.F., Silva R.A.P., Oishi C.M., McKee S. Numerical solution of the Upper-Convected Maxwell model for three-dimensional free surface flows. Commun Comput Phys 2009, 6:367-395.
26. Tomé M.F., Paulo G.S., Pinho F.T., Alves M.A. Numerical solution of the PTT constitutive equation for unsteady three-dimensional free surface flows. J Non-Newton Fluid Mech 2010, 165:247-262.