Journal of Thermal Analysis and Calorimetry

, Volume 139, Issue 2, pp 1037–1047 | Cite as

Accurate measurement of the longitudinal thermal conductivity and volumetric heat capacity of single carbon fibers with the 3ω method

  • Ketaki MishraEmail author
  • Bertrand Garnier
  • Steven Le Corre
  • Nicolas Boyard


An experimental setup for 3ω method with a constant current source and two differential amplifiers was built to measure the thermal conductivity and the volumetric heat capacity of single polyacrylonitrile (PAN)-based carbon fiber. In complement to a well-known analytical thermal model, a numerical one was developed that can check the validity of the analytical one and can also take into account the effect of convective heat loss on the measurements. A detailed sensitivity analysis of the unknown parameters was presented that would finally help in the better design of the setup for 3ω method. The tests were performed under vacuum and atmospheric pressure for chromel wire as a reference sample and under vacuum for two types of PAN-based carbon fiber. Detailed measurements were performed displaying the influence of convective loss and the thermal contact resistance between fiber and copper electrodes on the estimation of thermal properties of carbon fiber.


3ω method Thermal conductivity Carbon fibers Sensitivity analysis Thermal contact resistance 



The authors would like to thanks J. Aubril for the discussions and quality of his technical realizations.


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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2019

Authors and Affiliations

  1. 1.CNRS, LTeN UMR 6607Université de NantesNantes Cedex 3France

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