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Research Papers: Flows in Complex Systems

Pressure Drop in Laminar Developing Flow in Noncircular Ducts: A Scaling and Modeling Approach

[+] Author and Article Information
Y. S. Muzychka

Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, NF, A1B 3X5, Canada

M. M. Yovanovich

Department of Mechanical and Mechatronics Engineering, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

J. Fluids Eng 131(11), 111105 (Oct 27, 2009) (11 pages) doi:10.1115/1.4000377 History: Received March 19, 2009; Revised September 23, 2009; Published October 27, 2009

A detailed review and analysis of the hydrodynamic characteristics of laminar developing and fully developed flows in noncircular ducts is presented. New models are proposed, which simplify the prediction of the friction factor–Reynolds product fRe for developing and fully developed flows in most noncircular duct geometries found in heat exchanger applications. By means of scaling analysis it is shown that complete problem may be easily analyzed by combining the asymptotic results for the short and long ducts. Through the introduction of a new characteristic length scale, the square root of cross-sectional area, the effect of duct shape has been minimized. The new model has an accuracy of ±10% or better for most common duct shapes when nominal aspect ratios are used, and ±3% or better when effective aspect ratios are used. Both singly and doubly connected ducts are considered.

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Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Hydrodynamic entrance problem

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Figure 2

Common duct shapes

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Figure 3

f ReA for regular flat ducts, data from Ref. 4

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Figure 4

f ReA for other noncircular ducts, data from Ref. 4

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Figure 5

f ReA for annular ducts, data from Ref. 4

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Figure 6

f ReA for developing laminar flow in polygonal ducts, data from Ref. 4

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Figure 7

f ReA for developing laminar flow in regular flat ducts, data from Ref. 4

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Figure 8

f ReA for developing laminar flow in the circular annular duct, data from Ref. 4

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