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TECHNICAL BRIEFS

Hydrodynamic Model for Microscale Flows in a Channel With Two 90 deg Bends§

[+] Author and Article Information
Reni Raju, Subrata Roy

Computational Plasma Dynamics Laboratory, Department of Mechanical Engineering, Kettering University, Flint, MI 48504, USA e-mail: sroy@kettering.edu

J. Fluids Eng 126(3), 489-492 (Jul 12, 2004) (4 pages) doi:10.1115/1.1760547 History: Received April 10, 2003; Revised November 24, 2003; Online July 12, 2004
Copyright © 2004 by ASME
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References

Beskok,  A., Karniadakis,  G. E., and Trimmer,  W., 1996, “Rarefaction and Compressibility effects in Gas micro flows,” J. Fluids Eng., 118, pp. 448–456.
Gad-el-hak,  M., 1999, “The Fluid mechanics of Microdevices—The Freeman scholar lecture,” J. Fluids Eng., 121, pp. 5–33.
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Liu, J., Tai, Y. C., and Ho, C. M., 1995, “MEMS for pressure distribution studies of Gaseous flows in microchannels,” Proceedings, IEEE Micro Electro Mechanical Systems Workshop, Amsterdam, pp. 209–215.
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Pong, K. C., Ho, C., Liu, J., and Tai, Y. C., 1994, “Non-linear pressure distribution in uniform microchannels,” Application of Microfabrication to Fluid Mechanics, FED—197 , pp. 51–6.
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Roy,  S., Raju,  R., Chuang,  H., Kruden,  B., and Meyyappan,  M., 2003, “Modeling gas flow through microchannels and nanopores,” J. Appl. Phys., 93(8), pp. 4870–4879.
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Figures

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Two dimensional geometry schematic used for microflow analysis
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Richardson extrapolation plotted on a log-log scale documents the mesh convergence in L1 (one-) and L (max-) norm
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Velocity vectors in the micro-column for Pin/P6out=2.701. The peak v-velocities are shown at the centerline distance of 1200 μm from the inlet in the vertical section.
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Pressure distribution comparison of numerical results for the micro-column with 90 deg bend and a straight microchannel 69 with slip flow along the centerline
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Pressure distribution comparison of slip and no-slip boundary condition along the centerline of the micro-column with 90 deg bend
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U velocity distribution comparison of slip and no-slip boundary condition along the centerline of the micro-column with 90 deg bends
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V-velocity distribution comparison of slip and no-slip boundary condition along the centerline of the micro-column with 90 deg bends
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Numerical mass flow comparison for the five pressure ratios for slip and no-slip flow for the micro-column with 90 deg bends and corresponding mass flow for a straight microchannel

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