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Analytic Solution of Thermal Spreading Resistance: Generalization to Arbitrary-Shape Heat Sources on a Half-Space

[+] Author Affiliations
E. Sadeghi, M. Bahrami, N. Djilali

University of Victoria, Victoria, BC, Canada

Paper No. HT2008-56159, pp. 265-275; 11 pages
  • ASME 2008 Heat Transfer Summer Conference collocated with the Fluids Engineering, Energy Sustainability, and 3rd Energy Nanotechnology Conferences
  • Heat Transfer: Volume 1
  • Jacksonville, Florida, USA, August 10–14, 2008
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 978-0-7918-4847-0 | eISBN: 0-7918-3832-3
  • Copyright © 2008 by ASME


Thermal spreading resistance is an important phenomenon in contacting bodies and local heating e.g. laser heating. In contacting bodies, the real area of contact is typically less than 2% of the nominal contact area. In practice, due to random nature of contacting surfaces, the actual shape of microcontacts is unknown; therefore, it is advantageous to have a model applicable to any arbitrary-shape heat source. Starting from a half-space representation of the heat transfer problem, a compact model is proposed based on the generalization of the analytical solution of the spreading resistance of an elliptical source on a half-space. Using a “bottom-up” approach, unified relations are found that allow accurate calculation of spreading resistance over a wide variety of heat source shapes under both isoflux and isothermal conditions.

Copyright © 2008 by ASME



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