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A. Homsy, S. Koster, J. C. T. Eijkel, A. Van den Berg, F. Lucklum, E. Verpoorte and N. F. de Rooij, “A High Current Density DC Magnetohydrodynamic (MHD) Micropump,” Lap on a Chip, Vol. 5, No. 4, 2005, pp. 466-471. doi:10.1039/b417892k

has been cited by the following article:

  • TITLE: On Laminar Flow in Microfabricated Channels with Partial Semi-Circular Profiles

    AUTHORS: William J. Federspiel, Isabella Valenti

    KEYWORDS: Hagen-Poiseuille Flow; Poiseuille Flow; Flow Resistance; Wall Shear Stress

    JOURNAL NAME: Open Journal of Applied Sciences, Vol.2 No.1, March 29, 2012

    ABSTRACT: Soft and hard micromachining techniques used to develop microfluidic devices can yield microchannels of many different cross-sectional profiles. For semi-circular microchannels, these techniques often produce only partialsemicircular (PSC) cross-sections. This study investigated fully developed laminar flow in PSC microchannels as a function of a circularity index, κ, defined as the ratio of the radiuses along the curved and flat surfaces of the PSC profile. A correction factor, K, to the Hagen-Poiseuille relation was determined and was well-fitted by the power-law relationship K=5.299/κ2.56. Actual correction factors were compared to estimates based on several hydraulic models for flow in microchannels of arbitrary cross-section, as well as the half-ellipsoid cross-section. The level of wall shear stress, when normalized by the pressure drop per unit length, increased approximately linearly with increase in the circularity index, κ.