Further observations on the mean velocity distribution in fully developed pipe flow
The measurements by Zagarola & Smits (1998) of mean velocity profiles in fully developed turbulent pipe flow are repeated using a smaller Pitot probe to reduce the uncertainties due to velocity gradient corrections. A new static pressure correction (McKeon & Smits 2002) is used in analysing all data and leads to significant differences from the Zagarola & Smits conclusions. The results confirm the presence of a power-law region near the wall and, for Reynolds numbers greater than 230×10^3 (R+ >5×10^3), a logarithmic region further out, but the limits of these regions and some of the constants differ from those reported by Zagarola & Smits. In particular, the log law is found for 600
Copyright © 2004 Cambridge University Press. Reprinted with permission. (Received 7 October 2002 and in revised form 19 September 2003). Published online 23 February 2004 The support of ONR under Grant Nos. N00014-98-1-0525, N00014-99-1-0340, and N00014-03-1-0320 is gratefully acknowledged. J.F.M. is indebted to the Engineering and Physical Sciences Research Council (grants GR/M64536/01 and GR/R48193/01), the Royal Academy of Engineering (England) and the Leverhulme Trust (grant F/07058/H) for financial support.