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Abstract: Solutions to hydrodynamically developing flow in circular and non-circular ducts are examined. It is shown that the apparent friction factor based upon the square root of the cross-sectional area is a weak function of the shape of the geometry provided an appropriate aspect ratio is defined. A general model which is valid for many duct configurations is developed by combining the developing flow and fully developing flow asymptotes. The new model is simpler than other general models and provides equal or better accuracy. Finally, it is shown that the solution for the elliptic duct geometry may be used to compute accurately, results for 8 singly-connected ducts and 2 doubly-connected ducts, respectively, with an accuracy of within 12 percent.
2nd AIAA Theoretical Fluid Mechanics Meeting, Paper No. 98-2492, June 15-18, 1998, Albuquerque, NM
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