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TECHNICAL PAPERS: Radiative Heat Transfer

Mie Scattering Theory for Phonon Transport in Particulate Media

[+] Author and Article Information
Ravi S. Prasher

Assembly Technology Development, CH5-157, Intel Corporation, 5000 W. Chandler Blvd., Chandler, AZ 85226-3699e-mail: ravi.s.prasher@intel.com

J. Heat Transfer 126(5), 793-804 (Nov 16, 2004) (12 pages) doi:10.1115/1.1795243 History: Received December 17, 2003; Revised July 08, 2004; Online November 16, 2004
Copyright © 2004 by ASME
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References

Majumdar,  A., 1993, “Microscale Heat Conduction in Dielectric Thin Films,” ASME J. Heat Transfer, 115, pp. 7–16.
Prasher,  R. S., 2003, “Generalized Equation of Phonon Radiative Transport,” Appl. Phys. Lett., 83(1), pp. 48–50.
Prasher,  R. S., 2003, “Phonon Transport in Anisotropic Scattering Particulate Media,” ASME J. Heat Transfer, 125, pp. 1156–1162.
Callaway,  J., 1959, “Model of Lattice Thermal Conductivity at Low Temperatures,” Phys. Rev., 113(4), pp. 1046–1051.
Ziman, J. M., 1996, Electrons and Phonons, Oxford Press, London.
Sverdrup,  P. G., Ju,  Y. S., and Goodson,  K. E., 2001, “Sub-Continuum Simulations of Heat Conduction in Silicon-on-Insulator Transistors” ASME Journal of Heat Transfer, 123, pp. 130–137.
Chen,  G., 1997, “Size and Interface Effects on Thermal Conductivity of Supperlattices and Periodic Thin-Film Structures,” ASME J. Heat Transfer, 119, pp. 220–229.
Song,  D., and Chen,  G., 2004, “Thermal Conductivity of Periodically Microporous Silicon Films,” Appl. Phys. Lett., 84, pp. 1883–1885.
Keblisnki,  P., Phillpot,  S. R., Choi,  S. U. S., and Eastman,  J. A., 2002, “Mechanisms of Heat Flow in Suspensions of Nano-Sized Particles (Nanofluids),” Int. J. Heat Mass Transfer, 45, pp. 855–863.
Dresselhaus, G., Dresselhaus, M. S., Sun, X., Zhang, Z., and Chen, G., 1998, “Modeling Thermoelectric Behavior in Bi Nano-Wires,” Proceedings of 17th International Conference on Thermoelectrics, Nagoya, Japan, pp. 43–46.
Cahill,  D. G., Ford,  W. K., Goodson,  K. E., Mahan,  G. D., Majumdar,  A., Maris,  H. J., Merlin,  R., and Phillpot,  S. R., 2003, “Nanoscale Thermal Transport,” J. Appl. Phys., 93(2), pp. 793–818.
Bohren, C. F., and Huffman, D. R., 1983, Absorption and Scattering of Light by Small Particles, Wiley, New York.
Van De Hulst, H. C., 1981, Light Scattering by Small Particles, Dover Publication, New York.
Modest, M. F., 1993, Radiative Heat Transfer, McGraw Hill, Inc., New York.
Ying,  C. F., and Truell,  R., 1956, “Scattering of a Plane Longitudinal Wave by a Spherical Obstacle in an Isotropically Elastic Solid,” J. Appl. Phys., 27(9), pp. 1086–1097.
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Prasher, R. S., 2004, “Thermal Transport Due to Transverse Phonons in Nano and Micro Particulate Media,” J. of Applied Physics (submitted).
Prasher, R. S., 2004, “Thermal Transport Cross Section and Phase Function of Longitudinal Phonons for Scattering by Nano and Micro Particles,” J. of Applied Physics, 96 (submitted).
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Figures

Grahic Jump Location
Scattering a plane elastic wave by spherical scatterer
Grahic Jump Location
Definition and scattering of various waves a) SH wave or T1 wave b) SV or T2 wave and c) Longitudinal or P wave
Grahic Jump Location
Scattering and transport efficiency of a rigid scatterer
Grahic Jump Location
Scattering and transport efficiency of a cavity
Grahic Jump Location
Scattering and transport efficiency of an elastic scatter with v=0.5 and z=0.5
Grahic Jump Location
Scattering and transport efficiency of an elastic scatter with v=0.5 and z=2
Grahic Jump Location
Scattering and transport efficiency of an elastic scatter with v=0.75 and z=0.5
Grahic Jump Location
Scattering and transport efficiency of an elastic scatter with v=0.75 and z=2
Grahic Jump Location
Asymmetry factor g for rigid and cavity scatterer
Grahic Jump Location
Asymmetry factor g for an elastic scatterer (v=0.5,z=0.5)
Grahic Jump Location
Asymmetry factor g for an elastic scatterer (v=0.5,z=2)
Grahic Jump Location
Asymmetry factor g for an elastic scatterer (v=0.75,z=0.5)
Grahic Jump Location
Asymmetry factor g for an elastic scatterer (v=0.75,z=2)
Grahic Jump Location
Schematic of the multiple reflection and refraction of acoustic waves by a large sphere

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