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Technical Briefs

Incompressible Laminar Developing Flow in Microchannels

[+] Author and Article Information
E. Galvis

Department of Mechanical and Mechatronics Engineering,  University of Waterloo, Waterloo, ON N2L 3G1, Canadaegalvis@uwaterloo.ca

S. Yarusevych

Department of Mechanical and Mechatronics Engineering,  University of Waterloo, Waterloo, ON N2L 3G1, Canadasyarus@uwaterloo.ca

J. R. Culham

Department of Mechanical and Mechatronics Engineering,  University of Waterloo, Waterloo, ON N2L 3G1, Canadaculham@uwaterloo.ca

J. Fluids Eng 134(1), 014503 (Feb 24, 2012) (4 pages) doi:10.1115/1.4005736 History: Received September 23, 2011; Revised January 08, 2012; Published February 23, 2012; Online February 24, 2012

In many engineering systems, such as compact heat exchangers and microcoolers used in electronics packaging, system performance depends on laminar flow development in microchannels. This study investigates effects of Reynolds number, hydraulic diameter, and channel aspect ratio on the entrance length in rectangular microchannels. Numerical investigations were performed for microchannels with hydraulic diameters between 100 and 500 μm, Reynolds numbers between 0.5 and 200, and channel aspect ratios between 1 and 5. The results show good agreement with available experimental data and are used to formulate new correlations for estimating the entrance length in microchannels. Compared to other correlations, these new correlations are shown to provide more accurate estimates of entrance length over a wider range of Reynolds numbers representative of practical flows in microchannels.

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Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Comparison of experimental data and correlations for entrance length from literature b/a = 1

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Figure 2

Computational model

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Figure 3

Comparison of entrance length from experiments and simulations b/a = 1

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Figure 4

Dimensionless entrance length at different channel aspect ratios: fits correspond to the proposed correlations in Table 3

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