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TECHNICAL PAPERS: Microscale Heat Transfer

Computation of Sub-Micron Thermal Transport Using an Unstructured Finite Volume Method

[+] Author and Article Information
J. Y. Murthy

School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907e-mail: jmurthy@ecn.purdue.edu

S. R. Mathur

Fluent Inc., 10 Cavendish Court, Lebanon, NH 03766e-mail: sm@fluent.com

J. Heat Transfer 124(6), 1176-1181 (Dec 03, 2002) (6 pages) doi:10.1115/1.1518495 History: Received December 14, 2001; Revised July 22, 2002; Online December 03, 2002
Copyright © 2002 by ASME
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References

Tien,  C., and Chen,  G., 1994, “Challenges in Microscale Radiative and Conductive Heat Transfer,” ASME J. Heat Transfer, 116, pp. 799–807.
Asheghi,  M., Touzelbaev,  M., and Goodson,  K., 1997, “Phonon-Boundary Scattering in Thin Silicon Layers,” Appl. Phys. Lett., 71, pp. 1798–1800.
Sverdrup,  P., Ju,  Y., and Goodson,  K., 1998, “Sub-Continuum Simulations of Heat Conduction in Silicon-on-Insulator Devices,” ASME J. Heat Transfer, 120, pp. 30–36.
Sverdrup, P., Banerjee, K., Dai, K., Shih, W., Dutton, R., and Goodson, K., 2000, “Sub-Continuum Simulations of Deep Sub-Micron Devices under ESD Conditions,” Proceedings of the International Conference on Simulation of Semiconductor Processes and Devices, IEEE, pp. 54–57.
Chen,  G., 1997, “Size and Interface Effects on Thermal Conductivity of Superlattices and Periodic Thin Film Structures,” ASME J. Heat Transfer, 119, pp. 220–229.
Majumdar,  A., 1993, “Microscale Heat Conduction in Dielectric Thin Films,” ASME J. Heat Transfer, 115, pp. 7–16.
Joshi,  A., and Majumdar,  A., 1993, “Transient Ballistic and Diffusive Phonon Heat Transport in Thin Films,” J. Appl. Phys., 74, pp. 31–39.
Chen,  G., 1996, “Nonlocal and Nonequilibrium Heat Conduction in the Vicinity of Nanoparticles,” ASME J. Heat Transfer, 118, pp. 539–545.
Kumar,  S., Majumdar,  A., and Tien,  C., 1990, “The Differential Discrete-Ordinates Method for Solutions of the Equation of Radiative Transfer,” ASME J. Heat Transfer, 112, pp. 424–429.
Modest, M. F., 1993, Radiative Heat Transfer, Series in Mechanical Engineering, McGraw Hill, New York, NY.
Murthy,  J., and Mathur,  S., 1998, “Finite Volume Method for Radiative Heat Transfer Using Unstructured Meshes,” J. Thermophys. Heat Transfer, 12(3), pp. 313–321.
Kittel, C., 1996, Introduciton to Solid State Physics, John Wiley & Sons, New York.
Mathur,  S., and Murthy,  J., 1997, “A Pressure Based Method for Unstructured Meshes,” Numer. Heat Transfer Part B, 31(2), pp. 195–216.
Murthy,  J., and Mathur,  S., 1998, “A Conservative Numerical Scheme for the Energy Equation,” ASME J. Heat Transfer, 120, pp. 1081–1085.
Murthy,  J. Y., and Mathur,  S. R., 1998, “Radiative Heat Transfer in Axisymmetric Geometries Using an Unstructured Finite Volume Method,” Numer. Heat Transfer, Part B, 33(4), pp. 397–416.
Mathur,  S., and Murthy,  J., 1998, “Radiative Heat Transfer in Periodic Geometries Using a Finite Volume Scheme,” ASME J. Heat Transfer, 121, pp. 357–364.

Figures

Grahic Jump Location
Control volume for phonon energy conservation in direction s
Grahic Jump Location
Ballistic transport: comparison with exact solution
Grahic Jump Location
Conduction in diamond thin film: comparison with exact steady-state solution
Grahic Jump Location
Conduction in diamond thin film: unsteady state
Grahic Jump Location
Rod array embedded in matrix

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