Slip flow in various noncircular microchannels has been further examined, and a simple model for a normalized Poiseuille number is proposed. As for slip flow, no solutions or graphical and tabulated data exist for most geometries; the developed simple model fills this void and can be used to predict the Poiseuille number, mass flow rate, tangential momentum accommodation coefficient, pressure distribution, and pressure drop of slip flow in noncircular microchannels by the research community for the practical engineering design of microchannels. The incompressible flow criterion for gas flow in microchannels is given. A Mach number less than 0.3 is not sufficient to ensure that the flow is incompressible. Compressibility depends on the product of two dimensionless parameters: and Ma (Arkilic et al., 1997, “Gaseous Slip Flow in Long Microchannels,” J. Microelectromech. Syst., 6(2), pp. 167–178). Some flows where Ma < 0.3 are low speed compressible flows. A fresh general pressure drop model for isothermal low Mach number compressible flow in microchannels is proposed. If the pressure drop is less than 10% of the outlet pressure, the flow can be considered as incompressible for practical engineering applications. This paper improves and extends previous studies on slip flow in noncircular microchannels.
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July 2011
Technical Briefs
Incompressible Criterion and Pressure Drop for Gaseous Slip Flow in Circular and Noncircular Microchannels
Zhipeng Duan
Zhipeng Duan
Department of Mechanical and Mechatronics Engineering,
e-mail: zpduan@uwaterloo.ca
University of Waterloo
, Waterloo, ON, N2L 3G1, Canada
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Zhipeng Duan
Department of Mechanical and Mechatronics Engineering,
University of Waterloo
, Waterloo, ON, N2L 3G1, Canada
e-mail: zpduan@uwaterloo.ca
J. Fluids Eng. Jul 2011, 133(7): 074501 (4 pages)
Published Online: July 5, 2011
Article history
Received:
August 3, 2010
Revised:
May 22, 2011
Online:
July 5, 2011
Published:
July 5, 2011
Citation
Duan, Z. (July 5, 2011). "Incompressible Criterion and Pressure Drop for Gaseous Slip Flow in Circular and Noncircular Microchannels." ASME. J. Fluids Eng. July 2011; 133(7): 074501. https://doi.org/10.1115/1.4004298
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