TECHNICAL NOTES
Jul 1, 1988

Dispersive Force Basis for Concentration Profiles

Publication: Journal of Hydraulic Engineering
Volume 114, Issue 7

Abstract

Sediment concentration measurements of particulate slurry flow provide new insights into intense movement of both bed load and suspended load at high concentrations. The submerged weight of the bed-load (contact-load) solids is transferred downward by means of the normal intergranular stress. Associated with this normal stress there is a granular component of the shear stress resisting motion. Only the remaining, fluid-based, component of the shear stress produces the fluid shear velocity which is involved in velocity distribution and other features of turbulent flow. Turbulent support of suspended load entails a dispersive force which can be evaluated on the basis of the usual flux analysis. This force involves a transfer of weight from the particles to the surrounding fluid, which has been measured experimentally. Combined with the inter-granular stresses mentioned above, this dispersive force gives a new method of linking bed-load and suspended-load components to calculate total-load concentration profiles.

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References

1.
Bagnold, R. A. (1956). “The flow of cohesionless grains in fluids.” Phil. Trans Roy. Soc. London, A, 249, 235–297.
2.
Nasr‐el‐Din, H., Shook, C. A., and Colwell, J. (1986). “Determination of solids concentration in slurries.” Proc. 10th Int. Conf. on the Hydr. Transport of Solids in Pipes, BHRA Fluid Engineering, 191–198.
3.
Shook, C. A., et al. (1982). “Flow of coarse and fine sand slurries in pipelines.” J. Pipelines, 3, 13–21.
4.
Wilson, K. C. (1984). “Analysis of contact‐load distribution and application to deposition limit in horizontal pipes.” J. Pipelines, 4, 171–176.
5.
Wilson, K. C. (1987). “Analysis of bed‐load motion at high shear stress.” J. Hydr. Engrg., ASCE, 113(1), 97–103.
6.
Wilson, K. C., and Watt, W. E. (1974). “Influence of particle diameter on the turbulent support of solids in pipeline flow.” Proc. 3rd Int. Conf. on the Hydr. Transport of Solids in Pipes, BHRA Fluid Engineering, D1.1–D1.9.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 114Issue 7July 1988
Pages: 806 - 810

History

Published online: Jul 1, 1988
Published in print: Jul 1988

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Authors

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K. C. Wilson
Prof., Dept. of Civ. Engrg., Queen's Univ., Kingston, Ontario, Canada, K7L 3N6
F. J. Pugh
Res., Dept. of Civ. Engrg., Queen's Univ., Kingston, Ontario, Canada, K7L 3N6

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