Heating Properties of Carbon-fiber Sheets for Automobile Components

Heating Properties of Carbon-fiber Sheets for Automobile Components

Manil Kang · Junghwan Kim · Sok Won Kim

Department of Physics, University of Ulsan, Ulsan 680-749, Korea (Received 30 April 2015 : revised 22 May 2015 : accepted 22 May 2015)

Investigations of the applications of carbon fibers as heating element were performed in terms of the electrical conductivity and the heating properties. In this study, to investigate the applications of carbon fibers as interior materials for heating in automobiles, we studied the heating properties and the temperature distribution in unidirectional and cross-ply carbon-fiber sheets. The heating temperature in carbon-fiber sheets as a function of time inversely depended on an exponential function (1-e^−t). As the length of carbon-fiber sheets was increased, the heating temperature and the current in the sheets linearly decreased, but the resistance linearly increased. Also, the heating properties in the carbon-fiber sheets were found to be independent of the fabric’s pattern. From a comparison of the measured and the calculated heating-temperatures in carbon-fiber sheets, a large heat-loss was found to be caused by the surroundings, and a difference between the measured and the calculated values emerged at measurement time of one minute.

PACS numbers: 65.40.-b

Keywords: Carbon fibers, Heating properties, Carbon-fiber composites



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PACS numbers: 65.40.-b

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∗E-mail: [email protected]

This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Fig. 2. (Color online) Schematic diagram of an experi- mental setup for measurements of heating properties in carbon-fiber sheets.

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Table 1. Sample structures with unidirectional and cross-ply carbon-fiber sheets and a condition of measurements of heating properties.

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Fig. 3. (Color online) (a)∼(e) Heating properties in unidirectional carbon-fiber sheets with sheet length and applied voltage. (f) Heating properties with sheet length at an applied voltage of 3 V.

Fig. 4. (Color online) (a) Heating temperature, (b) current, and (c) resistance in unidirectional carbon-fiber sheets at a measured time of 240 s and an applied voltage of 3 V.

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(f) Heating properties with sheet length at an applied voltage of 3 V.

Table 2. Heating temperature, current, and resistance in the unidirectional carbon-fiber sheets at a measuring time of 240 s and an applied voltage of 3 V.

Length Generate heat Current Resistance

(cm) (^◦C) (A) (Ω)

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Fig. 8. (Color online) Temperature distribution, measured by using an infrared thermalburn camera, in cross-ply carbon-fiber sheets with measuring time.

Fig. 9. (Color online) Heating properties in carbon-fiber sheets with fabric pattern measured at a length of 30 cm and an applied voltage of 3 V.

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REFERENCES

[1] E. Fitzer, In Carbon Fibers and Their Composites (Springer, Berlin, 1985)

[2] L. T. Drzal and M. Madhukar, J. Mater. Sci. 28, 569 (1993).

[3] R. Bacon, J. Appl. Phys. 31, 283 (1960).

[4] J. B. Donnet and R. C. Bansal, Carbon fibers, 2nd ed. (Marcel Dekker, New York, 1990).

[5] C. Joseph and C. Viney, Compos. Sci. Technol. 60, 315 (2000).

[6] J. Zhang, Q. Guo, M. Huson, I. Slota and B. Fox, Compos. Part A: Appl. Sci. Manuf. 41, 787 (2010).

[7] A. E. Zantout and O. I. Zhupanska, Compos. Part A: Appl. Sci. Manuf. 41, 1719 (2010).

[8] A. Fosbury, S. Wang, Y. F. Pin and D. D. L. Chung, Compos. Part A: Appl. Sci. Manuf. 34, 933 (2003).

[9] S. Wang and D. D. L. Chung, Compos. Part B: Eng.

30, 591 (1999).

[10] N. Athanasopoulos and V. Kostopoulos, Compos.

Sci. Technol. 72, 1273 (2012).

[11] K. Takahashi and H. T. Hahn, Compos. Part B: Eng.

43, 833 (2012).

[12] T. Ogasawara, Y. Hirano and A. Yoshimura, Com- pos. Part A: Appl. Sci. Manuf. 41, 973 (2010).