Analyses of Convection Heat Transfer From Discrete Heat Sources in a Vertical Rectangular Channel

[+] Author and Article Information
H. Bhowmik1

Department of Mechanical Engineering,  Dhaka University of Engineering and Technology, Gazipur 1700, Bangladeshpp0504835@ntu.edu.sg

C. P. Tso

School of Mechanical and Production Engineering,  Nanyang Technological University, 50 Nanyang Avenue, Sinapore 639798

K. W. Tou

Faculty of Engineering and Technology,  Multimedia University, Jalan Ayer Keroh Lama, Melaka 75450, Malaysia


Corresponding author.

J. Electron. Packag 127(3), 215-222 (Aug 09, 2004) (8 pages) doi:10.1115/1.1938207 History: Received February 16, 2004; Revised August 09, 2004

Steady-state experiments are performed to study the convection heat transfer from four in-line simulated chips in a vertical rectangular channel using water as the working fluid. The experimental data cover a wide range for laminar flow under natural, mixed, and forced convection conditions with the Reynolds number based on the channel hydraulic diameter ranging from 40 to 2220 and on the heat source length ranging from 50 to 2775. The heat flux ranges from 0.1Wcm2to0.6Wcm2. The effects of heat flux, flow rates, and chip number are investigated and results indicate that the Nusselt number is strongly affected by the Reynolds number. To develop empirical correlations, the appropriate value of the exponent n of ReD is determined to collapse all the lines into a single line to show the independence of heat flux. Based on experimental results, the empirical correlations are developed for relations using Nu, ReD, and GrD. The results are compared to predictions from a three-dimensional numerical simulation, and a numerical correlation is also developed.

Copyright © 2005 by American Society of Mechanical Engineers
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Figure 9

The chip wall temperature distributions at x=0 and z=0

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Figure 10

Comparison of experimental results with numerical results for the four chips

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Figure 1

Schematic diagram of the experimental setup.

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Figure 2

Nusselt number (Nuℓ) variations with Peclet number (Peℓ) for present experimental data compared to data from two references

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Figure 3

Variation of [Nuℓ∕Pr1∕3] with Reynolds number (Reℓ)

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Figure 4

Variations of Nuℓ with [GrD∕ReD2] at different heat fluxes

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Figure 5

Standard deviation (SD) variations with different exponent (n)

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Figure 6

Experimental results at different heat fluxes

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Figure 7

Comparison of overall experimental results with numerical results from Ref. 2

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Figure 8

Experimental results for the four chips with linear fits to the data



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