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Studies of Viscous Drag Reduction with Polymers Including Turbulence Measurements and Roughness Effects

  • J. G. Spangler

Abstract

Recent results of turbulence measurements in very effective drag-reducing fluids are presented. Effects of the polymer on turbulence intensity are found to not be directly related to friction reduction. Turbulence intensity is found to be a function of Reynolds number, polymer concentration, and location in the flow field and may be locally higher or lower than for Newtonian flow. Turbulence spectral measurements show moderate effects in both macroscale and microscale for polymer solutions suggesting a possible elasticity effect which is not related to the drag-reduction phenomenon.

Friction factors for flow of a very effective drag-reducing dilute polymer solution in uniformly rough pipes are presented. The onset of “fully rough” effects is found to occur at higher Reynolds numbers in the polymer solution than in water in accordance with predictions based on the sublayer thickening effect of the polymer. The friction factors are found to be less for the polymer than for water in the roughness transition regime, but there is an indication that in the fully rough regime no drag-reduction will be realized. The data are analyzed in terms of a roughness function based on the effects of the polymer and the roughness on the law of the wall velocity profile.

Keywords

Turbulence Intensity Friction Factor Drag Reduction Friction Reduction Roughness Effect 
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.

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References

  1. 1.
    Dodge, D. W., and Metzner, A. D., “Turbulent Flow of Non-Newtonian Systems”, A.I.Ch.E. Journal, Vol. 5, pp. 189–203 (1959).CrossRefGoogle Scholar
  2. 2.
    Ernst, W. D., “Investigation of the Turbulent Shear Flow of Dilute Aqueous CMC Solutions”, A.I.Ch.E. Journal, Vol.12, pp 581, 586 (1966).CrossRefGoogle Scholar
  3. 3.
    Shaver, R. G., and Merrill, E. W., “Turbulent Flow of Pseudo-Plastic Solutions in Straight Cylindrical Tubes”, A.I.Ch.E. Journal, Vol. 5, pp 181–187 (1959).CrossRefGoogle Scholar
  4. 4.
    Wells, C. S., “Anomalous Turbulent Flow of Non-Newtonian Fluids”, A.I.A.A. Journal, Vol. 3, pp 1800–1805 (1965).Google Scholar
  5. 5.
    Fabula, A. G., “The Toms Phenomenon in the Turbulent Flow of Very Dilute Polymer Solutions”, Proceedings of the Fourth International Congress on Rheology, Part 3, Ed.; E. H. Lee, pp 455–479 (196+).Google Scholar
  6. 6.
    Meyer, W. A., “A Correlation of the Frictional Characteristics for Turbulent Flow of Dilute Non-Newtonian Fluids in Pipes”, A.I.Ch.E. Journal, Vol. 12, pp 522–525 (1966).CrossRefGoogle Scholar
  7. 7.
    Granville, P. S., David Taylor Model Basin Hydromechanics Laboratory Report, 1966.Google Scholar
  8. 8.
    Wells, C. S., “Turbulent Heat Transfer in Drag-Reducing Fluids”, A.I.Ch.E. Journal, Vol. 14, No. 3, pp 406–410 (1968).CrossRefGoogle Scholar
  9. 9.
    Wells, C. S., “An Analysis of Uniform Injection of a Drag-Reducing Fluid into a Turbulent Boundary Layer”, presented at the Symposium on Viscous Drag Reduction, LTV Research Center, Dallas, Texas, September 24–25, 1968.Google Scholar
  10. 10.
    Brennen, C., and Gadd, G. E., “Aging and Degradation in Dilute Polymer Solutions”, Nature, Vol. 215, (1967).Google Scholar
  11. 11.
    Wells, C. S., Harkness, J., and Meyer, W. A., “Turbulence Measurements in Pipe Flow of a Drag-Reducing Non-Newtonian Fluid”, A.I.A.A. Journal, Vol. 6, pp 250–257 (1968).Google Scholar
  12. 12.
    Virk, P. S., “The Toms Phenomenon - Turbulent Pipe Flow of Dilute Polymer Solutions”, Massachusetts Institute of Technology, Sc.D. Thesis, Nov. 1966.Google Scholar
  13. 13.
    Johnson, B., and Barchi, R. H., “Effect of Drag-Reducing Additives on Boundary Layer Turbulence”, Journal of Hydronautics, Vol. 2, No. 3, pp 168–175 (1968).CrossRefGoogle Scholar
  14. 14.
    White, A., “Turbulence and Drag-Reduction with Polymer Additives”, Research Bulletin No. 4, Hendon College of Technology, January 1967.Google Scholar
  15. 15.
    Ernst, W. D., “Turbulent Flow of an Elasticoviscous Non-Newtonian Fluid”,”A.I.A.A. Journal, Vol. 5, No. 5, pp 906909 (1967).Google Scholar
  16. 16.
    Nikuradse, J., “Strömungsgesetze in rauhen Rohren”, VDI - Forschungsheft 361, 1933.Google Scholar
  17. 17.
    Fenter, F. W., “The Turbulent Boundary Layer on Uniformly Rough Surfaces at Supersonic Speeds”, Report No. RE-E9R-2, Vought -Research Center, Chance Vought Aircraft, Inc., December 1959.Google Scholar
  18. 18.
    Wells, C. S., and Spangler, J. G., “Effects of Local Injection of a Drag-Reducing Fluid into Turbulent Pipe Flow of a Newtonian Fluid”, Physics of Fluids, 10, 9, p 1890 (1967).CrossRefGoogle Scholar
  19. 19.
    Metzner, A. D., and Astarita, G., “External Flows of Viscoelastic Materials: Fluid Property Restrictions on the Use of Velocity-Sensitive Probes”, A.I.Ch.E. Journal, Vol. 13, No. 3, pp 550–555 (1967).CrossRefGoogle Scholar
  20. 20.
    Oliver, D. R., “The Expansion/Contraction Behavior of Laminar Liquid Jets”, Canadian Journal of Chemical Engineering, Vol. 44, 100 (1966).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1969

Authors and Affiliations

  • J. G. Spangler
    • 1
  1. 1.LTV Research CenterUSA

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