Rheologica Acta

, Volume 29, Issue 3, pp 175–181 | Cite as

Anisotropic conduction of heat caused by molecular orientation in a flowing polymeric liquid

  • B. H. A. A. van den Brule
  • P. J. Slikkerveer
Original Contributions

Abstract

To demonstrate the influence of molecular orientation on the heat conduction in a flowing polymeric liquid, we consider a variant of the Graetz-Nusselt problem. A polymeric liquid is flowing between two flat, parallel plates with a sudden change in the wall temperature. The temperature distribution in the entrance region is calculated numerically taking viscous dissipation into account. It is assumed that the material properties are independent of the temperature. It is shown that the change in the temperature distribution in the fluid caused by molecular orientation is large enough to affect polymer processing significantly.

Key words

Anisotropy thermalconductivity orientation Graetz-Nusselt problem polymer processing 

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References

  1. 1.
    Manzione LT (ed) (1987) Applications of Computer Aided Engineering in Injection Moulding. Hanser Publ, MunichGoogle Scholar
  2. 2.
    POLYFLOW Finite Element Package (1989) Polyflow SA, Louvain la Neuve, BelgiumGoogle Scholar
  3. 3.
    Flaman AAM, Veltman B (1988) In: Giesekus H (ed) Progress and Trends in Rheology II. Supplement to Rheol ActaGoogle Scholar
  4. 4.
    Tautz H (1959) Exper Tech der Phys 7:1Google Scholar
  5. 5.
    Hands D (1980) Rubber Chem Technol 53:80Google Scholar
  6. 6.
    Knappe W (1971) Adv Polym Sci 7:477Google Scholar
  7. 7.
    van den Brule BHAA (1989) Rheol Acta 28:257Google Scholar
  8. 8.
    Jakob M (1949) Heat Transfer, vol 1. Wiley, New YorkGoogle Scholar
  9. 9.
    Bird RB, Curtiss CF, Armstrong RC, Hassager O (1987) Dynamics of Polymeric Liquids, vol 2, Kinetic Theory. Wiley, New YorkGoogle Scholar
  10. 10.
    Astarita G, Sarti GC (1975) In: Hutton JF, Pearson JRA, Walters K (eds) Theoretical Rheology. Applied Sci Publ, LondonGoogle Scholar
  11. 11.
    SEPRAN Finite Element Package (1989) Ingenieursbureau Sepra, Leidschendam, The NetherlandsGoogle Scholar
  12. 12.
    Brooks AN, Hughes JR (1982) Comp Meth 32:199Google Scholar
  13. 13.
    NAG Fortran Library Mark 12 (1987) Numerical Algorithms Group Ltd, OxfordGoogle Scholar

Copyright information

© Steinkopff 1990

Authors and Affiliations

  • B. H. A. A. van den Brule
    • 1
  • P. J. Slikkerveer
    • 1
  1. 1.Philips Research LaboratoriesJA-EindhovenThe Netherlands

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