Hostname: page-component-848d4c4894-4hhp2 Total loading time: 0 Render date: 2024-05-24T12:48:37.950Z Has data issue: false hasContentIssue false
  • English
  • Français

The vertical diffusivity and mean velocity of particles in a horizontal water pipe

Published online by Cambridge University Press:  28 March 2006

B. J. S. Barnard  and
A. M. Binnie
B. J. S. Barnard
Affiliation:
Engineering Laboratory, Cambridge
A. M. Binnie
Affiliation:
Engineering Laboratory, Cambridge
Get access Rights & Permissions [Opens in a new window]

Abstract

Small spheres of the same size but of relative density varying from 0·92 to 1·25 were injected in turn into a horizontal water pipe, in which the flow was turbulent and the mean velocity was constant. A cross-section near the outlet was illuminated; the positions of the spheres as they crossed it were measured by photography, and the relation was established between the terminal velocity of the of the spheres in water and the vertical diffusivity. The velocity of the spheres along the pipe was found to be somewhat different in the galvanized steel and Perspex lengths of which the pipe was composed. The dispersion of the times of transit of the spheres increased slightly with their densisty. For purposes of comparison the theoretical velocity along the pipe was also calculated from the photographic measurements.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 15 , Issue 1 , January 1963 , pp. 35 - 48
Copyright
© 1963 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Batchelor, G. K., Binnie, A. M. & Phillips, O. M. 1955 Proc. Phys. Soc. B, 68, 1095.
Binnie, A. M. & Phillips, O. M. 1958 J. Fluid Mech. 4, 87.
Goldstein, S. (Ed) 1938 Modern Developments in Fluid Mechanics, p. 338. Oxford: Clarendon Press.
Mather, K. 1943 Statistical Analysis in Biology, p. 198. London: Methuen.
O'Brien, M. P. 1933 Trans. Amer. Geophys. Un 14, 487.
Rouse, H. 1939 Proc. 5th Intern. Congr. Appl. Mech. p. 550.
Schlichting, H. 1955 Boundary-Layer Theory, p. 407. London: Pergamon.
Taylor, G. I. 1954 Proc. Roy. Soc. A, 223, 446.
Vanoni, V. A. 1946 Trans. Amer. Soc. Civ. Engrs, 111 67.