Skip to main content
SpringerLink
Log in
Book cover

Viscous Drag Reduction pp 107–130Cite as

The Onset of Dilute Polymer Solution Phenomena

  • Conference paper

Abstract

It is shown that in dilute polymer solution flows anomalous behaviour begins — onsets — abruptly. The experimental evidence concerning onset in turbulent pipe flow is reviewed and the observed effects of flow and polymeric parameters summarized. Theoretical approaches to pipe flow onset are analysed and three types of onset hypotheses are evaluated against experimental data. A semi-empirical correlation is presented for onset in pipes. Onset results are used to derive the ratios of macromolecular/eddy length and time scales. The possible influence of steric factors is noted.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Toms, B. A., Proc. 1st Intnl. Congress on Rheology, (North Holland Pubi. Co., Amsterdam, Holland, 19+8), Vol. 2, p. 135

    Google Scholar 

  2. Savins, J. G., Soc. Petrol. Eng. Journal, 4, 203 (1964)

    Google Scholar 

  3. Fabula, A. G., Proc. 4th intnl. Co ss on Rhealo, (Inter-science, New York, 1 5, Vol. 3, p. 55

    Google Scholar 

  4. Wells, C. S., A. I. A. A. Journal, 3, 1800 (1965)

    Google Scholar 

  5. Hoyt, J. W., In Symposium on Rheology, A. W. Marris & J. T. S. Wang, Ed., (ASME, New York, 1965 ), p. 71

    Google Scholar 

  6. Hershey, H. C., & J. L. Zakin, Chem. Eng. Sci., 22, 1847 (1967)

    Article  Google Scholar 

  7. Virk, P. S., et. al., J. Fluid Méch., 30, 305 (1967)

    Article  Google Scholar 

  8. Lindgren, E. R., Clearinghouse Ad 62, 1070 (1965)

    Google Scholar 

  9. Preston, J. L., “The Toms Phenomenon in a Rough Pipe”, S.B. Thesis, M.IT.T, Cambridge, Mass. (1967)

    Google Scholar 

  10. Merrill, E. W., K. A. Smith, H. Shin & H. S. Mickley, Trans. Soc. Rheology, 10, 335 (1966)

    Article  Google Scholar 

  11. Lee. T. S., “Turbulent Flow of Dilute Polymer Solutions - Studies in Couette Flow”, SC.D Thesis, M.I.T., Cambridge, Mass. (1966)

    Google Scholar 

  12. Hoyt, J. W., & A. G. Fabula, Paper to the 5th Symposium on Naval Hydrodynamics. Bergen, Norway (1964)

    Google Scholar 

  13. Elata, C., & J. Tirosh, Isreal J. Technol., 3, 1 (1965)

    Google Scholar 

  14. Pruitt, G. T., N. F. Whitsitt & H. R. Crawford, Rept. NAS 7–369, The Western Co. Res. Div., Dallas Tex. (1967)

    Google Scholar 

  15. Gupta, M. K., A. B. Metzner & J. P. Hartnett, Intnl J. Heat & Mass Transfer, 10, 1211 (1967)

    Article  Google Scholar 

  16. Marucci, G. & G. Astarita, Ind. Eng. Chem. Fund., 6, 471 (1967)

    Google Scholar 

  17. Suraiya, T., “Mass Transfer to Dilute Polymer Solutions in Turbulent Pipe Flow”, S.B. Thesis, M.I.T., Cambridge, Mass. (1967)

    Google Scholar 

  18. Astarita, G. & L. Nicodemo. A.I.Ch.E. Journal, 12, 478 (1966)

    Article  Google Scholar 

  19. Smith, K. A., E. W. Merrill, H. S. Mickley & P. S. Virk, Chem. Eng. Sci., 22, 619 (1967)

    Article  Google Scholar 

  20. Brennen, C., & G. E. Gadd, Nature, 215, 1368 (1967)

    Article  Google Scholar 

  21. James, D. F., Ph.D. Thesis Research Quoted by Metzner, A. B., & G. A.tarita, A.I.Ch.E. Journal, 13, 550, (1967)

    Google Scholar 

  22. Fabula, A. G., J. L. Lumley & D. W. Taylor, In The Mechanics of Continua, S. Eskinazi, Ed., ( Academic Press, New York 1966 ), p. 145

    Google Scholar 

  23. Hershey, H. C., & J. L. Zakin, Ind. Eng. Chem. Fund., 6, 381 (1967)

    Article  Google Scholar 

  24. Flory, P. J., Principles of Polymer Chemistry, (Cornell Univ. Press. Ithaca, N. Y. 1953 )

    Google Scholar 

  25. Goren, Y., & J. F. Norbury, A.S.M.E. J. Basic Eng., 82, 814 (1967)

    Article  Google Scholar 

  26. Virk, P. S., E. W. Merrill, H. S. Mickley & K. A. Smith in The Mechanics of Continua, S. Eskinazi, Ed., ( Academic Press, New York 1966 ), p. 37

    Google Scholar 

  27. Little, R. C., Clearinghouse Ad. 65, 4160 (1967)

    Google Scholar 

  28. Pruitt, G. T., B. Rosen & H. R. Crawford, Clearinghouse Ad 64, 2441 (1966)

    Google Scholar 

  29. Ram. A., E. Finklestein & C. Elata, Ind. Eng. Chem. Proc Des. Dey., 6, 309 (1967)

    Article  Google Scholar 

  30. Rodriguez, J. M., J. L. Zakin & G. K. Patterson, Soc. Petrol. Eng. J., 7, 325 (1967)

    Google Scholar 

  31. Kurata, M., & W. H. Stockmayer, Fortschr. Hochpolymer Forsh., 3, 192 (1963)

    Google Scholar 

  32. Bailey, F. E., & R. W. Callard, J. Appl. Poly. Sci., 1, 56 (1959)

    Google Scholar 

  33. Shin, H., “Reduction of Drag in Turbulence by Dilute Polymer Solutions” Sc.D. Thesis, M.I.T., Cambridge, Mass. (1965)

    Google Scholar 

  34. Cottrell, F. R., “The Conformation of Polyisobutylene in a Hydrodynamic Shear Field”, Sc.D. Thesis, M.I.T., Cambridge, Mass. (1968)

    Google Scholar 

  35. Deb, S. K., & S. N. Mukherjee, Indian J. Chem, 1, 413 (1963)

    Google Scholar 

  36. Elata, C., J. Lehrer & A. Kahanovitz, Isreal J. Technol., 1, 87 (1966)

    Google Scholar 

  37. Walsh, M., “On The Turbulent Flow of Dilute Polymer Solutions”, Ph.D. Thesis, Calif. Inst. Tech., Pasadena, Calif. (1967)

    Google Scholar 

  38. Rouse, P. E., J. Chem. Phys., 21, 1272 (1953)

    Article  Google Scholar 

  39. Zimm, B. H., J. Chem. Phys., 24, 264 (1956)

    MathSciNet  Google Scholar 

  40. Laufer, J., N.A.C.A. Report 1174 (1951)

    Google Scholar 

  41. Hinze, J. O., Turbulence, ( MeRaw-Hill, New York 1959 )

    Google Scholar 

  42. Virk, P. S., “The Toms Phenomenon - Turbulent Flow of Dilute Polymer Solutions” Sc.D. Thesis, M.I.T., Cambridge, Mass. (1966)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Massachusetts Institute of Technology, USA

    P. S. Virk & E. W. Merrill

Authors
  1. P. S. Virk
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. W. Merrill
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. LTV Research Center, Dallas, Texas, USA

    C. Sinclair Wells

Rights and permissions

Reprints and permissions

Copyright information

© 1969 Springer Science+Business Media New York

About this paper

Cite this paper

Virk, P.S., Merrill, E.W. (1969). The Onset of Dilute Polymer Solution Phenomena. In: Wells, C.S. (eds) Viscous Drag Reduction. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-5579-1_5

Download citation

  • DOI: https://doi.org/10.1007/978-1-4899-5579-1_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-5581-4

  • Online ISBN: 978-1-4899-5579-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation