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Research Papers

Heat Conduction in a Rectangular Tube With Eccentric Hot Spots

[+] Author and Article Information
Bo Dan

e-mail: bdan1@binghamton.edu

James F. Geer

e-mail: jgeer@binghamton.edu

Bahgat G. Sammakia

e-mail: bahgat@binghamton.edu Binghamton University-SUNY Binghamton, NY 13902

J. Thermal Sci. Eng. Appl 3(4), 041002 (Oct 24, 2011) (12 pages) doi:10.1115/1.4005143 History: Received September 17, 2010; Revised September 19, 2011; Published October 24, 2011; Online October 24, 2011

The current paper presents the results of an analytical study of steady state heat conduction in a rectangular tube with eccentric hot spots on both the top and the bottom surfaces. The rectangular domain is assumed to be adiabatic on the lateral surfaces and a single or multiple eccentric hot spots can be applied on the top and bottom surfaces. Isothermal, heat flux, or convection boundary conditions can be applied on the hot spots. Because the hot spots are eccentric, the spreading resistance becomes a dominant factor in heat conduction in the tube. The multiple hot spots, multiple layers and combination problems are also studied in the current paper. The solutions can be applied to the thermal management of three-dimensional stacks of electronic devices, the interconnect layers and the thermoelectric devices.

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Copyright © 2011 by American Society of Mechanical Engineers
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References

Figures

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Figure 5

Temperature distribution plots of hot spot on bottom surface at different number of j

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Figure 6

Heat flux contours of the hot spot on the bottom surface at different number of j

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Figure 7

Temperature distribution on the center line of hot spot

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Figure 8

Temperature distribution plots of example 2

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Figure 9

Temperature distribution plots of example 3

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Figure 10

Isothermal boundary condition problem

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Figure 11

Temperature distribution plots of isothermal boundary condition problem

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Figure 12

Temperature distribution on the center line of the side surface

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Figure 4

Temperature distribution plots of example 1

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Figure 3

Multiple layers problem

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Figure 2

Multiple hot spots problem

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Figure 1

Isotropic plate with two eccentric hot spots

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