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TECHNICAL PAPERS

Pressure Drop of Fully-Developed, Laminar Flow in Microchannels of Arbitrary Cross-Section

[+] Author and Article Information
M. Bahrami

Department of Mechanical Engineering, University of Victoria, BC, V8W 3P6, Canadambahrami@uvic.ca

M. M. Yovanovich, J. R. Culham

Microelectronics Heat Transfer Laboratory, Department of Mechanical Engineering,  University of Waterloo, 200 University Avenue West, ON, N2L 3G1, Canada

J. Fluids Eng 128(5), 1036-1044 (Jan 30, 2006) (9 pages) doi:10.1115/1.2234786 History: Received March 13, 2005; Revised January 30, 2006

The pressure drop of fully developed, laminar, incompressible flow in smooth mini- and microchannels of arbitrary cross-section is investigated. A compact approximate model is proposed that predicts the pressure drop for a wide variety of shapes. The model is only a function of geometrical parameters of the cross-section, i.e., area, perimeter, and polar moment of inertia. The proposed model is compared with analytical and numerical solutions for several shapes. Also, the comparison of the model with experimental data, collected by several researchers, shows good agreement.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

Microchannel of arbitrary constant cross-section, L⪢√A

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Figure 2

Comparison of fRe√A for elliptical and rectangular microchannels

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Figure 3

Cross-section of a regular polygon channel

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Figure 4

Cross-section of an isosceles trapezoidal channel

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Figure 5

Comparison of experimental data (7) with model

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Figure 6

Comparison of experimental data (7) with model

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Figure 7

Comparison between model and all trapezoidal data (7)

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Figure 8

Comparison of experimental data (6) with model

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Figure 9

Comparison of experimental data (15) with model

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Figure 10

Comparison between model and all rectangular data (6-7,15)

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Figure 11

Two limits of isosceles triangular channel

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Figure 12

fRe√A for isosceles triangular channels

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