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Measurement of Apparent Thermal Conductivity and Laser Absorptivity of Individual Carbon Fibers

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Abstract

The apparent thermal conductivity (ATC) and laser absorptivity (\(\alpha \)) are important properties of miro/nano materials but a challenge to measure due to their small size. In this paper, a simple and effective method employing Raman spectroscopy together with electrical heating is developed to measure thermal properties of micro/nano wires. The sample used in the experiment is very simple and easy to fabricate. The ATC is obtained by measuring the temperature difference induced by changing the electrical heating power; the laser heating power is neither neglected nor needed. Using the laser heating temperature rise and the measured ATC, the absorbed laser power can be calculated. Three individual carbon fibers were studied using the presented method.

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Abbreviations

\(T_{0}\) :

Environmental temperature (K)

\(T_{L/2}\) :

Temperature at middle of the sample (K)

\(P_{\mathrm{a}}\) :

Absorbed laser power (W)

D :

Diameter of sample (m)

L :

Length of sample (m)

A :

Cross-section area \((\hbox {m}^{2})\)

IU :

Electrical heating power (W)

\(\varPhi \) :

Internal heat source \((\hbox {W}{\cdot } \hbox {m}^{-3})\)

\(\lambda _{\mathrm{a}}\) :

Apparent thermal conductivity \((\hbox {W}{\cdot } \hbox {m}^{-1}{\cdot } \hbox {K}^{-1})\)

\(\alpha \) :

Laser absorptivity

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Acknowledgments

This work was supported by National Natural Science Foundation of China (Nos. 51327001, 51206094, 51136001) and partially supported by the JSPS KAKENHI (No. 25289041).

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Authors and Affiliations

  1. Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Engineering Mechanics, Tsinghua University, Beijing, 100084, People’s Republic of China

    Jin-hui Liu, Hai-dong Wang, Yu-dong Hu, Wei-gang Ma & Xing Zhang

  2. International Institute for Carbon Neutral Energy Research (WPI-I2CNER), Kyushu University, 744 Moto-oka, Nishi-ku, Fukuoka, 819-0395, Japan

    Xing Zhang

Authors
  1. Jin-hui Liu
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  2. Hai-dong Wang
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  3. Yu-dong Hu
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  4. Wei-gang Ma
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  5. Xing Zhang
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Correspondence to Xing Zhang.

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Liu, Jh., Wang, Hd., Hu, Yd. et al. Measurement of Apparent Thermal Conductivity and Laser Absorptivity of Individual Carbon Fibers. Int J Thermophys 36, 2740–2747 (2015). https://doi.org/10.1007/s10765-015-1934-z

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  • DOI: https://doi.org/10.1007/s10765-015-1934-z

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