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An Improved Computational Procedure for Sub-Micron Heat Conduction

[+] Author Affiliations
J. Y. Murthy

Purdue University, West Lafayette, IN

S. R. Mathur

Fluent, Inc., Lebanon, NH

Paper No. IMECE2002-32123, pp. 75-84; 10 pages
  • ASME 2002 International Mechanical Engineering Congress and Exposition
  • Heat Transfer, Volume 7
  • New Orleans, Louisiana, USA, November 17–22, 2002
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 0-7918-3638-X | eISBN: 0-7918-1691-5, 0-7918-1692-3, 0-7918-1693-1
  • Copyright © 2002 by ASME


Popular numerical techniques for solving the Boltzmann transport equation (BTE) for sub-micron thermal conduction include the discrete ordinates method and the finite volume method. However, the finite wave speed associated with the BTE can cause large errors in the prediction of the equivalent temperature unless fine angular discretizations are used, particularly at low acoustic thicknesses. In this paper, we combine a ray-tracing technique with the finite volume method to substantially improve the predictive accuracy of the finite volume method. The phonon intensity is decomposed into ballistic and in-scattering components. The former is solved using a ray tracing scheme, accounting for finite wave speed; the latter is solved using an unstructured finite volume method. Comparisons between this new technique and traditional finite volume formulations are presented for a range of acoustic thicknesses, and substantial improvement is demonstrated.

Copyright © 2002 by ASME
Topics: Heat conduction



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