Skip to main content
Springer Nature Link
Log in

Non-Newtonian flow past a sphere in a long cylindrical tube

  • Original Contributions
  • Published:
Rheologica Acta Aims and scope Submit manuscript

Abstract

Consideration is given to the problem of a sphere falling along the axis of a vertical cylindrical tube containing a viscoelastic fluid. Numerical predictions of the flow are obtained using a well established finite element Galerkin mixed formulation. The effect of elasticity on the streamline pattern, the drag and the stress field are discussed.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. Sutterby JL (1973) Trans Soc Rheol 17:559

    Google Scholar 

  2. Gottlieb M (1979) J Non-Newtonian Fluid Mech 6:97

    Google Scholar 

  3. Batchelor GK (1967) An introduction to fluid dynamics — 2nd Ed., Cambridge University Press

  4. Hassager O, Bisgaard C (1983) J Non-Newtonian Fluid Mech 12:153

    Google Scholar 

  5. Bisgaard C (1983) J Non-Newtonian Fluid Mech 12:283

    Google Scholar 

  6. Faxen H (1922) Ark Mat Astr Fys 17, No. 27:1

    Google Scholar 

  7. Haberman WL, Sayre RM (1958) Dept of the Navy David Taylor Model Basin Hydromechanics lab. Research and Development Report 1143

  8. Brenner H, Happel J (1979) J Non-Newtonian Fluid Mech 6:97

    Google Scholar 

  9. Happel J, Brenner H (1973) Low Reynolds number hydrodynamics — 2nd ed. Noordhoff International Publishing

  10. Brenner H (1962) J Fluid Mech 12:35

    Google Scholar 

  11. Leslie FM (1961) Quart J Mech & Appl Math 14:36

    Google Scholar 

  12. Caswell B, Schwarz WH (1962) J Fluid Mech 13:417

    Google Scholar 

  13. Giesekus H (1963) Rheol Acta 3:59–71

    Google Scholar 

  14. Acharya A, Mashelkar RA, Ulbrecht J (1976) Rheol Acta 15:454

    Google Scholar 

  15. Sigli D, Coutanceau M (1977) J Non-Newtonian Fluid Mech 2:1

    Google Scholar 

  16. Kawase Y, Ulbrecht JJ (1983) Rheol Acta 22:27

    Google Scholar 

  17. Chhabra RP, Uhlherr PHT, Boger DV (1980) J Non-Newtonian Fluid Mech 6:187

    Google Scholar 

  18. Chhabra RP, Tiu C, Uhlherr PHT (1980) Rheology 2:9

    Google Scholar 

  19. Chhabra RP, Uhlherr PHT (1980) Chem Eng Commun 5:115

    Google Scholar 

  20. Chhabra RP, Tiu C, Uhlherr PHT (1981) Can J Chem Eng 59:771

    Google Scholar 

  21. Chhabra RP, Uhlherr PHT (1980) Can J Chem Eng 58:124

    Google Scholar 

  22. Chhabra RP, Tiu C, Uhlherr PHT (1981) Rheol Acta 20:346

    Google Scholar 

  23. Zana E, Tiefenbruck G, Leal LG (1975) Rheol Acta 14:891

    Google Scholar 

  24. Mena B, private communication

  25. Tiefenbruck G, Leal LG (1982) J Non-Newtonian Fluid Mech 10:115

    Google Scholar 

  26. Crochet MJ, Davies AR, Walters K (1984) Numerical simulation of non-Newtonian flow, Elsevier Science Publishers

  27. Sugeng F, Tanner RI (1986) J Non-Newtonian Fluid Mech 21:281

    Google Scholar 

  28. Luo XL, Tanner RI (1986) J Non-Newtonian Fluid Mech 21:179

    Google Scholar 

  29. Crochet MJ (1982) Finite Elements in Fluids 4:573

    Google Scholar 

  30. Obaid TS, Townsend P (1985) Rheol Acta 24:160

    Google Scholar 

  31. Obaid TS, Townsend P (1984) Rheol Acta 23:255

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, University College of Wales, SA2 8PP, Swansea, U.K.

    E. O. A. Carew & P. Townsend

Authors
  1. E. O. A. Carew
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. Townsend
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Carew, E.O.A., Townsend, P. Non-Newtonian flow past a sphere in a long cylindrical tube. Rheol Acta 27, 125–129 (1988). https://doi.org/10.1007/BF01331896

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01331896

Key words

Search

Navigation