Numerical simulation of 3D polyurethane expansion during manufacturing process

Colloids and Surfaces A: Physicochemical and Engineering Aspects

Volumn 309, Issue 1-3, 2007, Pages 49-63

  Bikard, J ^a   Bruchon, J ^a   Coupez, T ^a   Silva, L ^a  

^a PSL RESEARCH UNIVERSITY   (France)

Author keywords

Chemical reaction; Foam expansion; Mixed and space time finite elements; Moving free surfaces

Indexed keywords

COMPRESSIBLE FLOW; COMPUTER AIDED MANUFACTURING; GAS MIXTURES; KINEMATICS; RHEOLOGY; THREE DIMENSIONAL;

FOAM EXPANSION; GAS RATE; MOVING FREE SURFACES; SPACE-TIME FINITE ELEMENTS;

POLYURETHANES;

CARBON DIOXIDE; POLYURETHAN;

ARTICLE; CHEMICAL REACTION; FINITE ELEMENT ANALYSIS; FLOW KINETICS; FOAM; GAS; INDUSTRY; KINEMATICS; LIQUID; MATERIALS; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PRIORITY JOURNAL; PROCESSING; QUASI EXPERIMENTAL STUDY; SIMULATION; TECHNIQUE; VALIDATION PROCESS;

EID: 34548437039     PISSN: 09277757     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.colsurfa.2007.04.025     Document Type: Article

References (22)

1. Amon M., and Denson D.C. A study of the dynamics of foam growth: analysis of the growth of closely spherical bubbles. Polym. Eng. Sci. 24 (1984) 1026-1034
2. Amon M., and Denson D.C. A study of the dynamics of foam growth: analysis and experimental results for bulk density in structural foam molding. Polym. Eng. Sci. 26 (1986) 255-267
3. Arafmanesh A., Advani S.G., and Michaelides E.E. A numerical study of bubble growth during low pressure structural foam molding process. Polym. Eng. Sci. 30 (1990) 1330-1337
4. Arafmanesh A., and Advani S.G. Nonisothermal bubble growth in polymeric foams. Polym. Eng. Sci. 35 (1995) 252-260
5. Arnold D.N., Brezzi F., and Fortin M. A stable finite element for Stokes equations. Calcolo 21 (1984) 337-344
6. S. Batkam, J. Bruchon, T. Coupez, A space-time discontinuous Galerkin method for convection and diffusion in injection moulding, Int. J. Forming Process., in press.
7. Bigot E., and Coupez T. Capture of 3D moving free surfaces and material interfaces by mesh deformation. Proceedings of the European Congress on Comput. Methods in Applied Sci. Eng. (2000)
8. Bikard J., Bruchon J., Coupez T., and Vergnes B. Numerical prediction of the foam structure of polymeric materials by direct 3D simulation of their expansion by chemical reaction based on a multidomain method. J. Mater. Sci. 40 (2005) 5875-5881
9. J. Bruchon, Etude de la formation d'une structure de mousse par simulation directe de l'expansion de bulles dans une matrice liquide polymre, Ph.D. Thesis, Ecole des Minde Paris, Sophia-Antipolis, 2004.
10. Campbell G.A. Polyurethane foam process development. A systems engineering approach. J. Appl. Polym. Sci. 16 (1972) 1387-1402
11. J.M. Castro, C.W. Macosko, Kinetics and rheology of typical polyurethane reaction injection molding systems, SPE ANTEC Tech. Papers (1980) 434-438.
12. Claxton N.E., and Liska J.W. Calculation of state of cure in rubber under variable time temperature conditions. Rubber Age 9 (1964) 237-244
13. Everitt S.L., Harlen O.G., Wilson H.J., and Read D.J. Bubble dynamics in viscoelastic with application to reacting and non-reacting polymer foams. J. Non-Newton. Fluid Mech. 114 (2003) 83-107
14. Kellog R.B., and Liu B. A finite element method for the compressible Navier-Stokes equations. SIAM J. Numer. Anal. 33 (1996) 780-788
15. Kraynik A.M., and Hansen M.G. Foam rheology: a model of viscous phenomena. J. Rheol. 31 (1987) 175
16. Lefebvre L., and Keunings R. Mathematical modelling and computer simulation of the flow of chemically-reacting polymeric foams. In: Cross M., Pittman J.F.T., and Wood R.D. (Eds). Mathematical Modelling for Materials Processing (1993), Clarendon Press, Oxford 399-417
17. L. Lefebre, Simulation numérique de l'expansion des mousses en polyurethane, Ph.D. Thesis, Louvain-la-Neuve, 1993.
18. Oertel G. Polyurethane Handbook (1985), Hanser Publishers, Munich
19. Pichelin E., and Coupez E. Finite element solution of the 3D mold filling problem for viscous incompressible fluid. Computer Meth. Appl. Mech. Eng. 163 (1999) 359-371
20. Piloyan G.O., Ryabchikov I.D., and Novikora O.S. Determination of activation energies of chemical reactions by differential thermal analysis. Nature 5067 (1966) 1229
21. Prime R.B. Differential scanning calorimetry of the epoxy cure reaction. Polym. Eng. Sci. 13 (1973) 365-371
22. Tillotson R., and Patrick M.A. Mathematical modelling of polyurethane foam flow. Proceedings of the UTECH 88. La Haye, Pays Bs (1988) 230sq