Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-25T17:49:55.405Z Has data issue: false hasContentIssue false

Analytical insights into thermophysical properties of nanomaterials

Published online by Cambridge University Press:  06 January 2014

Rone-Hwa Chou*
Affiliation:
Inovative Technology Center, Wintek Corporation, 10 Jianguo road, Tanzih Dist., Taichung 42760, Taiwan ROC
Ci-Ling Pan
Affiliation:
Department of Physics, National Tsing Hua University, No. 101, Section 2, Kuang-Fu road, Hsinchu 30013, Taiwan ROC
*
Get access

Abstract

Using the discrete ordinate method, we solve the equations of phonon radiative transfer for thin films analytically, and deduce closed-form expressions for three thermophysical properties including the phonon intensity, heat flux density and effective phonon thermal conductivity. These analytical expressions provide a fast and convenient way to analyze heat conduction behavior in thin films, and thus allowing us to comprehend how the film thickness and bulk phonon mean free path affects the thermophysical properties. Also we extend these expressions from thin films to one period of superlattices, and demonstrate that adjusting the thickness ratio of two layers can control its effective phonon thermal conductivity.

Type
Research Article
Copyright
© EDP Sciences, 2014

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Khitun, A., Wang, K.L., Chen, G., Nanotechnology 11, 327 (2000)CrossRef
Yang, J., Lu, F., Kostiuk, L.W., Kwok, D.Y., J. Micromech. Microeng. 13, 963 (2003)CrossRef
Huynh, W.U., Dittmer, J.J., Alivisatos, A.P., Science 295, 2425 (2002)CrossRef
Chen, T.-G., Yu, P., Chou, R.-H., Pan, C.-L., Opt. Express 18, A467 (2010)CrossRef
Chen, G., Dresselhaus, M.S., Dresselhaus, G., Fleurial, J.-P., Caillat, T., Int. Mater. Rev. 48, 45 (2003)CrossRef
Flik, M.I., J. Heat Transfer 112, 872 (1990)CrossRef
Asheghi, M., Leung, Y., Wong, S., Goodson, K., Appl. Phys. Lett. 71, 1798 (1997)CrossRef
Ju, Y.S., Goodson, K.E., Appl. Phys. Lett. 74, 3005 (1999)CrossRef
Ju, Y.S., Appl. Phys. Lett. 87, 153106 (2005)CrossRef
Liu, W., Asheghi, M., J. Heat Transfer 128, 75 (2006)CrossRef
Burshstein, A.I., Introduction to Thermodynamics and Kinetic Theory of Matter (Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, 2005), p. 106108CrossRefGoogle Scholar
Ladd, A.J.C., Moran, B., Hoover, W.G., Phys. Rev. B 34, 5058 (1996)CrossRef
Tien, C.L., Chen, G., J. Heat Transfer 116, 799 (1994)CrossRef
Klitsner, J.E., VanCleve, J.E., Fischer, H.E., Pohl, R.Q., Phys. Rev. B 38, 7576 (1988)CrossRef
Majumdar, A., J. Heat Transfer 115, 7 (1993)CrossRef
Joshi, A.A., Majumdar, A., J. Appl. Phys. 74, 31 (1993)CrossRef
Terris, D., Joulain, K., Lacroix, D., Lemonnier, D., Phonon J. Phys. Conf. Ser. 92, 012077 (2007)CrossRef
Jeans, J.H., Roy. Astron. Soc. 78, 28 (1917)CrossRef
Chandrasekar, S., Radiative Transfer (Dover, New York, 1960)Google Scholar
Jendoubi, S., Lee, H.S., Kim, T.K., J. Thermophys. Heat Transf. 7, 213 (1993)CrossRef
Fiveland, W.A., HTD: Am. Soc. Mech. Eng. 160, 89 (1991)
Murthy, J.Y., Mathur, S.R., J. Heat Transfer 124, 1176 (2002)CrossRef
Matthiessen, A., Philos. Trans. R. Soc. Lond. 148, 383 (1858)CrossRef
Matthiessen, A., Carol, V., Philos. Trans. R. Soc. Lond. 154, 167 (1864)CrossRef
Kittel, C., Introduction to Solid State Physics (Wiley, New York, 1986)Google Scholar
Modest, M.F., Radiative Heat Transfer (Academic Press, San Diego, California, 2003), p. 498505CrossRefGoogle Scholar
Sgalari, G., Camera-Roda, G., Santarelli, F., Int. Commun. Heat Mass Transf. 25, 651 (1998)CrossRef
Kumar, S., Majumdar, A., Tien, C.L., J. Heat Transfer 112, 424 (1990)CrossRef
Peraiah, A., An Introduction to Radiative Transfer (Cambridge University, Cambridge, UK, 2004), p. 6465Google Scholar
Zhuomin, M.Z., Nano-Microscale Heat Transfer (McGraw-Hill, USA, 2007), p. 266269Google Scholar
Turney, J.E., McGaughey, A.J.H., Amon, C.H., J. Appl. Phys. 107, 024317 (2010)CrossRef
Yao, T., Appl. Phys. Lett. 51, 1798 (1987)CrossRef
Chen, G., Phys. Rev. B 48, 16373 (1998)