Skip to main content

Thank you for visiting You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

Drag Coefficients for Spheres in High Reynolds Number Flow of Dilute Solutions of High Polymers


DILUTE polymer solutions show substantial reduction of drag in turbulent pipe flow1 and a 28 per cent reduction has been reported for sphere drag coefficients in a 0.5 per cent solution of Guar gum for a 1 in. diameter steel ball2. These drag coefficients were measured by timing balls falling down a 3 in. tube. Greater reductions of sphere friction factors were noted in my recent experiments. Balls were dropped by hand in a glass fronted tank, 1 ft. square and 6 ft. deep. The terminal velocity was found using a photographic technique3 in which the position of the ball every 0.04 sec was recorded on a 35 mm negative.

Access options

Rent or Buy article

Get time limited or full article access on ReadCube.


All prices are NET prices.


  1. 1

    Fabula, A. G., Fourth Intern. Cong. Rheol., 3, 455 (1964).

    Google Scholar 

  2. 2

    Ruszczyeky, M. A., Nature, 205, 614 (1965).

    ADS  Article  Google Scholar 

  3. 3

    Uhlherr, P. H. T., et al., Chem. Eng. Sci., 20, 997 (1965).

    Article  Google Scholar 

  4. 4

    Weiselberger, C., Ergeb. Aerodyn. Ver. Göttingen, 2, 22 (1923).

    Google Scholar 

  5. 5

    Prandl, L., and Tietjens, O. G., Applied Hydro and Aeromechanics, 98 (Dover, 1957).

    Google Scholar 

Download references

Author information



Rights and permissions

Reprints and Permissions

About this article

Cite this article

WHITE, D. Drag Coefficients for Spheres in High Reynolds Number Flow of Dilute Solutions of High Polymers. Nature 212, 277–278 (1966).

Download citation

Further reading


By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.


Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing