Measurement of the Thermal Conductivity of Polydimethylsiloxane Polymer Using the Three Omega Method

Abstract:

Polydimethylsiloxane (PDMS) has widely appeared in different electronic and medical applications. The knowledge of the thermal properties of PDMS and especially its thermal conductivity is required while processing PDMS to design a particular device. In this paper measurement of the thermal conductivity of PDMS using the three omega method is presented at different temperatures. The three omega method has been chosen because of its ease of use and accuracy. It requires the fabrication of metallic lines which act as heaters and thermometers on the surface of the material under test. A different procedure is introduced in this paper through which the metallic lines are embedded in the surface of PDMS. Experimental results are then compared to Cahill's approximate solution and to the results obtained by numerical simulations using a finite element method.

• Periodical: Key Engineering Materials (Volume 613)
• Pages: 259-266
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.613.259
• Online since: May 2014
• Authors: Nadine Al-Khudary, Pierre Yves Cresson*, Yovan Orlic, Philippe Coquet, Philippe Pernod, Tuami Lasri
• Keywords: Biocompatible Polymers, PDMS, Thermal Conductivity (TC), Three Omega Method

References

[1] N. Tiercelin, P. Coquet, R. Sauleau, V. Senez and H. Fujita, Polydimethylsiloxane membranes for millimeter-wave planar ultra-flexible antennas, J. Micromechanical Microengineering, Vol. 16, pp.2389-2395, (2006).

DOI: 10.1088/0960-1317/16/11/020

[2] S. Hage-Ali, N. Tiercelin, P. Coquet, R. Sauleau, H. Fujita, V. Preobrazhensky, P. Pernod, A millimeter-wave microstrip antenna array on ultra-flexible micromachined polydimethylsiloxane (PDMS) polymer, IEEE Antennas and Wireless Propagation Letters, Vol. 8, pp.1306-1309, (2009).

DOI: 10.1109/lawp.2009.2037590

[3] J. Kuncova-Kallio, J. Kallio Pasi, PDMS and its suitability for analytical microfluidic devices, Proceedings of the 28th IEEE EMBS Annual International Conference, pp.2486-2489, New York City, USA, Aug 30-Sept 3, (2006).

DOI: 10.1109/iembs.2006.260465

[4] J. Cooper, M.G. Whitesides, Polydimethysiloxane as a material for fabricating microfluidic devices, Accounts of Chemical Research, Vol. 35, No. 7, pp.491-499, (2002).

DOI: 10.1021/ar010110q

[5] J. W. Hong, T. Fuji, M. Seki, T. Yamamoto, I. Endo, Integration of gene amplification and capillary gel electrophoresis on a polydimethylsiloxane-glass hybrid microchip, Elecrophoresis, Vol. 22, pp.328-333, (2001).

DOI: 10.1002/1522-2683(200101)22:2<328::aid-elps328>3.0.co;2-c

[6] C. Hassler, T. Boretius, T. Stieglitz, Polymers for Neural Implants, Journal of Polymer Science: Part B: Polymer Physics, Vol. 49, pp.18-33, (2011).

DOI: 10.1002/polb.22169

[7] A. Dawson, M. Rides, J. Nottay, The effect of pressure on the thermal conductivity of polymer melts, Polymer Testing, Vol. 25, pp.268-275, (2006).

DOI: 10.1016/j.polymertesting.2005.10.001

[8] K.T. Wojciechowski, R. Zybala, R. Mania, Application of DLC layers in 3-omega thermal conductivity method, Journal of Achievements in Material and Manufacturing Engineering, Vol. 37, pp.512-517, (2009).

[9] J.L. Battaglia, C. Wiemer, M. Fanciulli, An accurate low-frequency model for the 3ω method, Journal of Applied Physics, Vol. 101, pp.104510-1, (2007).

DOI: 10.1063/1.2721389

[10] D.G. Cahill, Thermal conductivity measurement from 30 to 750 K: the 3ω method, Review of Scientific Instruments, Vol. 61, pp.802-808, (1990).

DOI: 10.1063/1.1141498

[11] D.E. Kline, Thermal conductivity studies of polymers, Journal of Polymer Science, Vol. 50, pp.441-450, (1961).

[12] I.K. Moon, H. Jeong, S.I. Kwun, The 3ω technique for measuring dynamic specific heat and thermal conductivity of a liquid or solid, Review of Scientific Instruments, Vol. 67, pp.29-35, (1996).

DOI: 10.1063/1.1146545

[13] H.S. Carslaw, J.C. Jaeger, Conduction of heat in solids, Oxford University Press, Oxford, p.193, (1959).

[14] K.J. Lee, K.A. Fosser, R.G. Nuzzo, Fabrication of stable metallic embedded in Poly(dimethylsiloxane) and model applications in non-planar electronic and lab-on-a-chip device patterning, Advanced Functional Materials, Vol. 15, pp.557-566, (2005).

DOI: 10.1002/adfm.200400189

[15] J. Hong, J. Lee, C.K. Hong, S.E. Shim, Effect of dispersion state of carbon nanotube on the thermal conductivity of poly(dimethylsiloxane) composites, Current Applied Physics, Vol. 10, pp.359-363, (2010).

DOI: 10.1016/j.cap.2009.06.028

[16] C.E. Raudzis, F. Schatz, Extending the 3ω method for thin-film analysis to high frequencies, Journal of Applied Physics, Vol. 93, pp.6050-6055, (2003).

DOI: 10.1063/1.1569663

[17] A. Jacquot, B. Lenoir, A. Dauscher, M. Stolzer, J. Meusel, Numerical simulation of the 3ω method for measuring the thermal conductivity, Journal of Applied Physics, Vol. 91, pp.4733-4738, (2002).

DOI: 10.1063/1.1459611

[18] H. Wang, M. Sen, Analysis of the 3-omega method for thermal conductivity measurement, International Journal of Heat and Mass Transfer, Vol. 52, pp.2102-2109, (2009).

DOI: 10.1016/j.ijheatmasstransfer.2008.10.020