Laminar Heat Transfer in Constructal Microchannel Networks With Loops

[+] Author and Article Information
Xiang-Qi Wang, Christopher Yap

Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore, 119260

Arun S. Mujumdar1

Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore, 119260mpeasm@nus.edu.sg


Corresponding author.

J. Electron. Packag 128(3), 273-280 (Sep 20, 2005) (8 pages) doi:10.1115/1.2229228 History: Received June 24, 2005; Revised September 20, 2005

Heat sinks with radial and constructal branching microchannel networks with loops are examined numerically. Radial and constructal networks are embedded in disk-shaped heat sinks. Constructal nets with loops are found to be more robust than the radial ones, when one or more channel segments are blocked. Since complex constructal networks would involve problems in manufacturing, constructal channel nets with loops may be a better choice in engineering applications. Networks with loops and without loops are compared. Results show that the constructal nets with loops provide a great advantage when the structure experiences accidental damage in one or more subchannel segments, since the loop assures the continuity of flow. In spite of blockage, the performance of the network has only a small drop considering the increased pressure drop.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 1

One typical physical model of constructal branching channels with loops embedded in a heat sink attached to a disk-shaped chip. Dimensions: R=20mm, hs=hc=2mm, and hch=0.5mm.

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Figure 2

Two typical cross-section structures of microchannel networks with loops: (a) Radial tubes (n=4), and (b) constructal tubes (n=4,k=1). Note that black block denotes the blockage of channel segments.

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Figure 3

Comparison of temperature distribution along midplane (z=0.5H) for (a) radial and (b) constructal networks

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Figure 4

Temperature distribution for different cases of blockage for radial networks with loops (n=4). Note that boiling is not included in model.

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Figure 5

Velocity vector distribution over midplane (z=0.5H) for blockage of constructal networks (n=4,k=1) at out-11: (a) Global view, and (b) local view in circular region

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Figure 6

Temperature distribution for different cases of blockage for constructal networks with loops (n=4,k=1)



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