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A new friction factor relationship for fully developed pipe flow

McKeon, B. J. and Zagarola, M. V. and Smits, A. J. (2005) A new friction factor relationship for fully developed pipe flow. Journal of Fluid Mechanics, 538 . pp. 429-443. ISSN 0022-1120.

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The friction factor relationship for high-Reynolds-number fully developed turbulent pipe flow is investigated using two sets of data from the Princeton Superpipe in the range 31×10^3 ≤ ReD ≤ 35×10^6. The constants of Prandtl’s ‘universal’ friction factor relationship are shown to be accurate over only a limited Reynolds-number range and unsuitable for extrapolation to high Reynolds numbers. New constants, based on a logarithmic overlap in the mean velocity, are found to represent the high-Reynolds-number data to within 0.5%, and yield a value for the von Kármán constant that is consistent with the mean velocity profiles themselves. The use of a generalized logarithmic law in the mean velocity is also examined. A general friction factor relationship is proposed that predicts all the data to within 1.4% and agrees with the Blasius relationship for low Reynolds numbers to within 2.0%.

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McKeon, B. J.0000-0003-4220-1583
Additional Information:"Reprinted with the permission of Cambridge University Press." (Received 11 December 2003 and in revised form 25 March 2005). Published online 17 August 2005 The support of ONR under Grants N00014-98-I-0325, N00014-99-I-0340, N00014-01-I-0593 and N00014-03-1-0320, and NSF Grant CTS-9908442 is gratefully acknowledged.
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4467
Deposited By: Archive Administrator
Deposited On:24 Aug 2006
Last Modified:02 Oct 2019 23:13

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