Skip to main content
SpringerLink
Log in

Generalized Bruggeman Formula for the Effective Thermal Conductivity of Particulate Composites with an Interface Layer

  • Published:
International Journal of Thermophysics Aims and scope Submit manuscript

Abstract

Combining the well-known Bruggeman theory and Nan et al. results, formulas for predicting the effective thermal conductivity of anisotropic particulate composites with an interface layer are derived. These formulas are valid for a composite material containing arbitrarily oriented ellipsoidal particles with any aspect ratio, and they can be expected to be suitable mainly for large volume fractions, when the thermal interaction between neighboring particles needs to be considered. Results of the present approach are reduced to simpler formulas for some limiting cases in the particle shape. Theoretical analysis of the effective thermal conductivity as a function of volume fraction and shape of the particles is performed. Comparison of the obtained formulas with previously reported experimental data for the effective thermal conductivity is also presented.

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. Torquato S.: Random Heterogeneous Materials. Springer, New York (2001)

    Google Scholar 

  2. Maxwell J.C.: Electricity and Magnetism. Clarendon Press, Oxford (1873)

    Google Scholar 

  3. Choi S.U.S., Zhang Z.G., Yu W., Lockwood F.E., Grulke E.A.: Appl. Phys. Lett. 79, 2252 (2001)

    Article  ADS  Google Scholar 

  4. Eastman J.A., Choi S.U.S., Li S., Yu W., Thompson L.J.: Appl. Phys. Lett. 78, 718 (2001)

    Article  ADS  Google Scholar 

  5. Wang X.Q., Mujumdar A.S.: Int. J. Therm. Sci. 46, 1 (2007)

    Article  MATH  Google Scholar 

  6. Das S.K., Choi S.U.S., Yu W., Pradeep T.: Nanofluids Science and Technology. Wiley, Hoboken (2008)

    Google Scholar 

  7. Jang S.P., Choi S.U.S.: Appl. Phys. Lett. 84, 4316 (2004)

    Article  ADS  Google Scholar 

  8. Prasher R.: Int. J. Heat Mass Transf. 48, 4942 (2005)

    Article  MATH  Google Scholar 

  9. Nan C.W., Birringer R., Clarke D.R., Gleiter H.: J. Appl. Phys. 81, 6692 (1997)

    Article  ADS  Google Scholar 

  10. Zhou X.F., Gao L.: J. Appl. Phys. 100, 024913 (2006)

    Article  ADS  Google Scholar 

  11. Bruggeman D.A.G.: Ann. Phys. 24, 636 (1935)

    Article  Google Scholar 

  12. Cattaneo C.: Atti. Semin. Mat. Fis. Univ. Modena 3, 83 (1948)

    MathSciNet  Google Scholar 

  13. Cheng L., Xu M., Wang L.: Int. J. Heat Mass Transf. 51, 6018 (2008)

    Article  MATH  Google Scholar 

  14. Dramicanin M.D., Ristovski Z.D., Djokovic V., Galovic S.: Appl. Phys. Lett. 73, 321 (1998)

    Article  ADS  Google Scholar 

  15. Norris A.N., Sheng P., Callegari A.J.: J. Appl. Phys. 57, 1990 (1985)

    Article  ADS  Google Scholar 

  16. Krupa I., Boudenne A., Ibos L.: Eur. Polym. J. 43, 2443 (2007)

    Article  Google Scholar 

  17. Shen J., Mandelis A.: Rev. Sci. Instrum. 66, 4999 (1995)

    Article  ADS  Google Scholar 

  18. Medina R., Yánez-Limón J.M., Alvarado-Gil J.J.: Eur. Phys. J. Spec. Top. 153, 75 (2008)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Applied Physics Department, Centro de Investigación y de Estudios Avanzados del I.P.N-Unidad Mérida, Carretera Antigua a Progreso km. 6, A.P. 73 Cordemex, 97310, Mérida, Yucatán, México

    J. Ordóñez-Miranda, J. J. Alvarado-Gil & R. Medina-Ezquivel

Authors
  1. J. Ordóñez-Miranda
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. J. Alvarado-Gil
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. R. Medina-Ezquivel
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to J. J. Alvarado-Gil.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ordóñez-Miranda, J., Alvarado-Gil, J.J. & Medina-Ezquivel, R. Generalized Bruggeman Formula for the Effective Thermal Conductivity of Particulate Composites with an Interface Layer. Int J Thermophys 31, 975–986 (2010). https://doi.org/10.1007/s10765-010-0756-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10765-010-0756-2

Keywords

Search

Navigation