Finite element analysis of planar 4:1 contraction flow with the tensor-logarithmic formulation of differential constitutive equations

Korea Australia Rheology Journal

Volumn 16, Issue 4, 2004, Pages 183-191

  Kwon, Youngdon ^a  

^a Sungkyunkwan University   (South Korea)

Author keywords

Constitutive equation; Contraction flow; High Deborah number; Leonov model; Stability; Tensor logarithm

Indexed keywords

EID: 26444468123     PISSN: 1226119X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. Baaijens, F.P.T., 1998, Mixed finite element methods for viscoelastic flow analysis: A review, J. Non-Newtonian Fluid Mech. 79, 361-385.
2. Crochet, M.J., A.R. Davies and K. Walters, 1984, Numerical Simulation of Non-Newtonian Flow, Elsevier, Amsterdam.
3. Dupret, F., J.M. Marchal and M.J. Crochet, 1985, On the consequence of discretization errors in the numerical calculation of viscoelastic flow, J. Non-Newtonian Fluid Mech. 18, 173-186.
4. Dupret F. and J.M. Marchal, 1986, Loss of evolution in the flow of viscoelastic fluids, J. Non-Newtonian Fluid Mech. 20, 143-171.
5. Fattal, R. and R. Kupferman, 2004, Constitutive laws of the matrix-logarithm of the conformation tensor, J. Non-Newtonian Fluid Mech. 123, 281-285.
6. Gupta, M., 1997, Viscoelastic modeling of entrance flow using multimode Leonov model, Int. J. Numer. Meth. Fluids 24, 493-517.
7. Hulsen, M.A., 1990, A sufficient condition for a positive definite configuration tensor in differential models, J. Non-Newtonian Fluid Mech. 38, 93-100.
8. Hulsen, M.A., 2004, Keynote presentation in Internatioan Congress on Rheology 2004, Seoul, Korea.
9. Johnson, C., 1995, Numerical solution of partial differential equations by the finite element method, Cambridge University Press, Cambridge.
10. Joseph, D.D., 1990, Fluid dynamics of viscoelastic liquids, Springer-Verlag, New York.
11. Kwon, Y., 2002, Recent results on the analysis of viscoelastic constitutive equations, Korea-Australia Rheol. J. 14, 33-45.
12. Kwon, Y. and K.S. Cho, 2001, Time-strain nonseparability in viscoelastic constitutive equations, J. Rheol. 45, 1441-1452.
13. Kwon, Y. and A.I. Leonov, 1995, Stability constraints in the formulation of viscoelastic constitutive equations, J. Non-Newtonian Fluid Mech. 58, 25-46.
14. Lee, J., S. Yoon, Y. Kwon and S.J. Kim, 2004, Practical comparison of differential viscoelastic constitutive equations in finite element analysis of planar 4:1 contraction flow. Rheol. Acta in press.
15. Leonov, A.I., 1976, Nonequilibrium thermodynamics and rheology of viscoelastic polymer media, Rheol. Acta 15, 85-98.
16. Leonov, A.I., 1992, Analysis of simple constitutive equations for viscoelastic liquids, J. Non-Newtonian Fluid Mech. 42, 323-350.
17. Leonov, A.I., 1995, Viscoelastic constitutive equations and rheology for high speed polymer processing, Polym. Int. 36, 187-193.