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RESEARCH PAPERS

Experimental and Computational Investigation of Flow Development and Pressure Drop in a Rectangular Micro-channel

[+] Author and Article Information
Weilin Qu

Boiling and Two-Phase Flow Laboratory, School of Mechanical Engineering, Purdue University, 585 Purdue Mall, West Lafayette, IN 47907-2088

Issam Mudawar1

Boiling and Two-Phase Flow Laboratory, School of Mechanical Engineering, Purdue University, 585 Purdue Mall, West Lafayette, IN 47907-2088mudawar@ecn.purdue.edu

Sang-Youp Lee, Steven T. Wereley

Microfluidics Laboratory, School of Mechanical Engineering, Purdue University, 585 Purdue Mall, West Lafayette, IN 47907-2088

1

To whom correspondence should be addressed.

J. Electron. Packag 128(1), 1-9 (Aug 10, 2005) (9 pages) doi:10.1115/1.2159002 History: Received June 18, 2004; Revised August 10, 2005

Flow development and pressure drop were investigated both experimentally and computationally for adiabatic single-phase water flow in a single 222μm wide, 694μm deep, and 12cm long rectangular micro-channel at Reynolds numbers ranging from 196 to 2215. The velocity field was measured using a micro-particle image velocimetry system. A three-dimensional computational model was constructed which provided a detailed description of liquid velocity in both the developing and fully developed regions. At high Reynolds numbers, sharp entrance effects produced pronounced vortices in the inlet region that had a profound influence on flow development downstream. The computational model showed very good predictions of the measured velocity field and pressure drop. These findings prove the conventional Navier-Stokes equation accurately predicts liquid flow in micro-channels, and is therefore a powerful tool for the design and analysis of micro-channel heat sinks intended for electronic cooling.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic of flow loop

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Figure 7

Comparison of measured with numerically predicted velocity profiles at two horizontal planes (z′=347μm and z′=555μm) and x′=10cm for Rech=1895

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Figure 8

Comparison of measured with numerically predicted central line velocities along stream-wise direction for Rech=196 and 1895

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Figure 9

u¯-v¯ vector fields at horizontal middle-plane (z′=347μm) and 0⩽x′∕(Rechdh)⩽0.002 for (a)Rech=196 and (b)Rech=1895

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Figure 12

Comparison of measured pressure drop and predictions based on numerical analysis and correlations for Rech=196, 1021, 1895, and 2215

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Figure 13

Numerically predicted variation of pressure along stream-wise direction for Rech=196, 1021, 1895, and 2215

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Figure 11

u¯ profile in different y′-z′ planes for Rech=1895 at (a)x′=0, (b)x′=0.0002Rechdh, (c)x′=0.002Rechdh, and (d)x′=Lch

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Figure 10

u¯ profile in different y′-z′ planes for Rech=196 at (a)x′=0, (b)x′=0.0002Rechdh, (c)x′=0.002Rechdh, and (d)x′=Lch

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Figure 6

Comparison of measured with numerically predicted velocity profiles at two horizontal planes (z′=347μm and z′=555μm) and x′=1cm for (a)Rech=196 and (b)Rech=1895

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Figure 5

Comparison of numerical predictions of horizontal middle-plane (z′=347μm) velocity profile for Rech=1895 at x′=10cm with analytical fully-developed profile

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Figure 4

Computational domain

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Figure 3

Schematic of micro-PIV system

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Figure 2

Construction of micro-channel test module

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