Turbulence in Pipe Flows with Small Relative Roughness

  • Alexander Smits
  • Sean C. C. Bailey
  • Rick L. Pepe
  • Michael P. Schultz
Conference paper
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 22)

Abstract

The Princeton University Superpipe, capable of generating Reynolds numbers from 31 ×103 to 35 ×106, has been used to study the effects of surface roughness on turbulence in fully developed turbulent pipe flow. Mean velocity and pressure gradient results, streamwise Reynolds stresses, and two point correlations have all been performed on flow through a commercial steel pipe, with k rms D = 1 ∕ 26, 000 = 38. 5 ×10− 6, where k rms is the rms roughness height and Dis the pipe diameter. The Reynolds number of these studies ranged from 76 ×103 to 20 ×106. It was found that through the transitionally rough flow regime, the friction factor behavior did not follow that predicted by the Colebrook correlation. In addition, when the flow moved into the transitional and fully rough flow regimes, the streamwise Reynolds normal stress in the outer layer was found to saturate at a maximum value and did not increase in the same manner as observed for smooth pipes.

Keywords

Reynolds Number Friction Factor Pipe Flow Roughness Height Turbulent Pipe Flow 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

The support of ONR under Grant N00014-09-1-0263 (Ronald Joslin) and NSF under Grant CTS-0625268 (William Schultz) is gratefully acknowledged.

References

  1. 1.
    M.V. Zagarola, A.J. Smits, Mean-flow scaling of turbulent pipe flow. J. Fluid Mech. 373, 33–79 (1998).MATHCrossRefGoogle Scholar
  2. 2.
    B.J. McKeon, J. Li, W. Jiang, J.F. Morrison, A.J. Smits, Further observations on the mean velocity in fully-developed pipe flow. J. Fluid Mech. 501, 135–147 (2004).MATHCrossRefGoogle Scholar
  3. 3.
    J.F. Morrison, B.J. McKeon, W. Jiang, A.J. Smits, Scaling of the streamwise velocity components in turbulent pipe flow. J. Fluid Mech. 508, 99–131 (2004).MATHCrossRefGoogle Scholar
  4. 4.
    M.A. Shockling, J.J. Allen, A.J. Smits, Roughness effects in turbulent pipe flow. J. Fluid Mech. 564, 267–285 (2006).MATHCrossRefGoogle Scholar
  5. 5.
    C.F. Colebrook, C.M. White, Experiments with fluid friction in roughened pipes. Proc. Royal Soc. (A) 161, 367–378 (1937).CrossRefGoogle Scholar
  6. 6.
    C.F. Colebrook, Turbulent flow in pipes, with particular reference to the transitional region between smooth and rough wall laws. J. Inst. Civ. Eng. 11, 133–156 (1939).Google Scholar
  7. 7.
    J. Nikuradse, VDI Forschungsheft Arb. Ing.-Wes. 356(1932). In translation, NACA TT F-10 359.Google Scholar
  8. 8.
    J. Nikuradse, Laws of flow in rough pipes. VDI Forschungsheft 361 (1933). In translation, NACA TM 1292, 1950.Google Scholar
  9. 9.
    M. Wosnik, L. Castillo, W.K. George, A theory for turbulent pipe and channel flows. J. Fluid Mech. 421, 115–145 (2000).MATHCrossRefGoogle Scholar
  10. 10.
    J.J. Allen, M.A. Shockling, A.J. Smits, Evaluation of a universal transition resistance diagram for pipes with honed surfaces. Phys. Fluids 17, 121 702–121 706 (2005).Google Scholar
  11. 11.
    G. Gioia, P. Chakraborty, Turbulent friction in rough pipes and the energy spectrum of the phenomenological theory. Phys. Rev. Lett., 96, 044502 (2006).CrossRefGoogle Scholar
  12. 12.
    M.V. Zagarola, Mean-flow scaling of turbulent pipe flow. PhD Thesis Princeton University, Princeton NJ, USA (1996).Google Scholar
  13. 13.
    L.I. Langelandsvik, G.J. Kunkel, A.J. Smits, Flow in a commercial steel pipe. J. Fluid Mech. 595, 323–339 (2008).MATHCrossRefGoogle Scholar
  14. 14.
    R.L. Pepe, High Reynolds number turbulence measurements in rough pipe flow. MSE Thesis Princeton University, Princeton NJ, USA (2007).Google Scholar
  15. 15.
    M.P. Schultz, K.A. Flack, The rough-wall turbulent boundary layer from the hydraulically smooth to the fully rough regime. J. Fluid Mech. 580, 381–405 (2007).MATHCrossRefGoogle Scholar
  16. 16.
    S.C.C. Bailey, M.N. Hultmark, A.J. Smits, M.P. Schultz, Two-point velocity measurements in turbulent pipe flow. J. Fluid Mech. 615, 121–138 (2008).MATHCrossRefGoogle Scholar
  17. 17.
    J.F. Morrison, B.J. McKeon, W. Jiang, A.J. Smits, Scaling of the streamwise velocity component in turbulent pipe flow. J. Fluid Mech. 508, 99–131 (2004).MATHCrossRefGoogle Scholar
  18. 18.
    R.J. Adrian, Hairpin vortex organization in wall turbulence. Phys. Fluids 19, 041301 (2007).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  • Alexander Smits
    • 1
  • Sean C. C. Bailey
    • 1
  • Rick L. Pepe
    • 1
  • Michael P. Schultz
    • 2
  1. 1.Department of Mechanical and Aerospace EngineeringPrinceton UniversityPrincetonUSA
  2. 2.Department of Naval Architecture and Ocean EngineeringU.S. Naval AcademyAnnapolisUSA

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