In this paper, an exact solution of Hagen–Poiseuille flow in microchannels with semi-elliptic cross sections is obtained. The velocity, shear stress distribution, and the friction factor are calculated and compared to known approximate solutions in the literature. The solution is also verified by comparing the limiting case when the axis ratio approaches unity to the exact solution obtained for semicircular channels.
Hagen–Poiseuille Flow in Semi-Elliptic Microchannels
Department of Mathematics and Statistics,
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received April 6, 2012; final manuscript received September 14, 2012; published online November 20, 2012. Assoc. Editor: Michael G. Olsen.
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Alassar, R. S., and Abushoshah, M. (November 20, 2012). "Hagen–Poiseuille Flow in Semi-Elliptic Microchannels." ASME. J. Fluids Eng. December 2012; 134(12): 124502. https://doi.org/10.1115/1.4007900
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