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Heat Conduction in Three Dimensional Stacked Packages

[+] Author Affiliations
Anand Desai, James Geer, Bahgat Sammakia

State University of New York at Binghamton

Paper No. IMECE2005-79771, pp. 467-472; 6 pages
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Electronic and Photonic Packaging, Electrical Systems Design and Photonics, and Nanotechnology
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Electronic and Photonic Packaging Division
  • ISBN: 0-7918-4217-7 | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME


This paper presents the results of an analytical study of steady state heat conduction in multiple rectangular domains. Any finite number of such domains may be considered in the current study. The thermal conductivity and thickness of these domains may be different. The entire geometry composed of these connected domains is considered as adiabatic on the lateral surfaces and can be subjected to uniform convective cooling at one end. The other end of the geometry may be adiabatic and a specified, spatially varying heat generation rate can be applied in each of the domains. The solutions are found to be in agreement with known solutions for simpler geometries. The analytical solution presented here is very general in that it takes into account the interface resistances between the layers. One application of this analytical study relates to the thermal management of a 3-D stack of devices and interconnect layers. Another possible application is to the study of hotspots in a chip stack with non uniform heat generation. Many other potential applications may also be simulated.

Copyright © 2005 by ASME
Topics: Heat conduction



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