Skip to main content
SpringerLink
Log in

Thermal conductivity of polymers filled with dispersed particles: A model

  • Theory
  • Published:
Polymer Science Series A Aims and scope Submit manuscript

Abstract

A method for calculating the thermal conductivity coefficient in polymers filled with dispersed particles is proposed. This model is based on estimation of the mean width of a polymer layer between the particles that are randomly distributed in space. This model makes it possible to allow for the effect of particle dimensions, interaction between components, and their characteristics in the course of processing via extrusion.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Suzhu Yu, P. Hing, and Xiano Hu, Composites A 33, 289 (2002).

    Article  Google Scholar 

  2. S. Amesöder and G. W. Ehrenstein, in Hochgefüllte Kunststoffe mit definierten magnetischen, thermischen und elektrischen Eigenschaften, Ed. by G. W. Herausgeber-Ehrenstein and D. Drummer (Springer-VDI, Düsseldorf, 2002).

  3. I. H. Tavman, Heat Mass Transfer 25, 723 (1998).

    Article  CAS  Google Scholar 

  4. A. V. Cherkaev and L. V. Gibiansky, Int. J. Solids Struct. 33, 2609 (1996).

    Article  Google Scholar 

  5. Fusheng Ni, Int. J. Heat Mass Transfer 40, 943 (1997).

    Article  Google Scholar 

  6. D. Srinivasan, T. S. Natarajan, G. Rangarajan, et al., Solid State Commun. 110, 503 (1999).

    Article  CAS  Google Scholar 

  7. M. Jäckel, Cryogenics 35, 713 (1995).

    Article  Google Scholar 

  8. Y. P. Mamunya, V. V. Davydenko, P. Pissis, and E. V. Lebedev, Eur. Polym. J. 38, 1887 (2002).

    Article  CAS  Google Scholar 

  9. R. J. Kuriger, M. K. Alam, D. P. Anderson, and R. L. Jacobsen, Composites A 33, 53 (2002).

    Article  Google Scholar 

  10. I. Sevostianov, V. Verijenko, and M. Kachanov, Composites B 33, 205 (2002).

    Article  Google Scholar 

  11. M. Schwarz, W. Bauhofer, and K. Schulte, Polymer 43, 3079 (2002).

    Article  CAS  Google Scholar 

  12. D. A. G. Bruggeman, Ann. Phys. (Leipzig) 24, 636 (1953).

    Google Scholar 

  13. J. C. Maxwell, A Treatise on Electricity and Magnetism (Dover, New York, 1954).

    Google Scholar 

  14. S. C. Cheng and R. I. Vachon, Int. J. Heat Transfer 12, 249 (1969).

    Article  CAS  Google Scholar 

  15. G. T.-N. Tsao, Ind. Eng. Chem. 53, 395 (1961).

    Article  Google Scholar 

  16. S. Okamoto and H. Ishida, J. Appl. Polym. Sci. 72, 1689 (1999).

    Article  CAS  Google Scholar 

  17. H. W. Russel, J. Am. Ceram. Soc. 18, 1 (1935).

    Article  Google Scholar 

  18. T. Lewis and L. Nielsen, J. Appl. Polym. Sci. 14, 1449 (1970).

    Article  CAS  Google Scholar 

  19. R. L. Hamilton, PhD Thesis (Univ. of Oklahoma, 1960).

    Google Scholar 

  20. A. Baschirow and Seleznev, Plast. Kautsch. 23, 656 (1976).

    Google Scholar 

  21. Y. Agari and T. Uno, J. Appl. Polym. Sci. 30, 2225 (1985).

    Article  CAS  Google Scholar 

  22. R. M. Scarisbrick, J. Appl. Phys. 16, 2098 (1973).

    Google Scholar 

  23. Y. Agari, M. Tanaka, S. Nagai, and T. Uno, J. Appl. Polym. Sci. 34, 1429 (1987).

    Article  CAS  Google Scholar 

  24. V. E. Gul’ and L. Z. Shenfil’, Conducting Polymer Compositions (Khimiya, Moscow, 1984) [in Russian].

    Google Scholar 

  25. R. Holm, Electric Contacts (Springer, Berlin, 2000).

    Google Scholar 

  26. S. Wu, Polym. Eng. Sci. 27, 335 (1987).

    Article  CAS  Google Scholar 

  27. C. Rauwendaal, Mixing in Polymer Processing (Marcel Dekker, London, 1991).

    Google Scholar 

  28. W. D. Mohr, R. L. Saxton, and C. H. Jepson, Ind. Eng. Chem. 49, 1855 (1957).

    Article  CAS  Google Scholar 

  29. S. D. Volkov and V. P. Stavrov, Statistical Mechanics of Composites (Beloruss. Gos. Tekh. Univ., Minsk, 1978) [in Russian].

    Google Scholar 

  30. A. V. Markov, Candidate’s Dissertation in Technical Sciences (Minsk, 2001).

    Google Scholar 

  31. A. J. Kinloch, Adhesion and Adhesives. Science and Technology (Springer, London, 1987; Mir, Moscow, 1991).

    Book  Google Scholar 

  32. Yu. S. Lipatov, Physicochemical Fundamentals of Polymer Filling (Khimiya, Moscow, 1991) [in Russian].

    Google Scholar 

  33. E. Moy and A. W. Neumann, Colloids Surf. 43, 349 (1990).

    Article  CAS  Google Scholar 

  34. E. W. Washburn, Phys. Rev. 17, 273 (1921).

    Article  Google Scholar 

  35. A. W. Neumann and D. Y. Kwok, Adv. Colloid Interface Sci. 81, 167 (1999).

    Article  Google Scholar 

  36. K. Grundke and A. Augsburg, J. Adhesion Sci. Technol. 14, 765 (2000).

    Article  CAS  Google Scholar 

  37. R. Kolb and G. W. Ehrenstein, Bestimmung der Einflussgrößen auf die Oberflächenspannung thermoplastischer Polymeren. Interner Bericht (Univ. Erlangen–Nürnberg, 2002).

    Google Scholar 

  38. M. Wulf, S. Michel, W. Jenschke, et al., J. Phys. Chem. 1, 3899 (1999).

    CAS  Google Scholar 

  39. U. Hammerschmidt and W. Sabuga, J. Thermophys. 21, 1255 (2002).

    Google Scholar 

  40. S. E. Gustavson, Rev. Sci. Instrum. 62, 797 (1991).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Belarussian Technological University, ul. Sverdlova 13a, Minsk, 220050, Belarus

    A. V. Markov

Authors
  1. A. V. Markov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. V. Markov.

Additional information

Original Russian Text © A.V. Markov, 2008, published in Vysokomolekulyarnye Soedineniya, Ser. A, 2008, Vol. 50, No. 4, pp. 709–719.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Markov, A.V. Thermal conductivity of polymers filled with dispersed particles: A model. Polym. Sci. Ser. A 50, 471–479 (2008). https://doi.org/10.1134/S0965545X08040160

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0965545X08040160

Keywords

Search

Navigation