TECHNICAL PAPERS
Sep 1, 2001

Critical Flow Velocity in Slurry Transporting Horizontal Pipelines

Publication: Journal of Hydraulic Engineering
Volume 127, Issue 9

Abstract

A new empirical equation is proposed for predicting critical flow velocity in slurry-transporting horizontal pipelines. An analysis of the settling velocity of solid particles, including the effect of solid particle concentration, is undertaken because of this parameter's importance. This study builds on a previous study carried out to consider the settling velocity of a single solid particle in clear-water condition, which is actually different from the real physics of the hydrotransport phenomenon of the solid particles. Two earlier proposed methods are applied to the calculation of the settling velocity of a solid particle, including the effect of solid particle concentration within the suspending fluid. The most appropriate method for slurry transportation among these two methods is discussed and used in the analysis of critical flow velocity. The new proposed equation is based on analysis of data from the experiments as well as data from the earlier studies. A unique feature of the proposed equation is that it can be applied to noncohesive, uniform, and nonuniform coarse solid particles. In a comparison of prediction accuracy with four existing relationships, the proposed equation was found to give significantly better agreements with the observed data. Therefore, it can be stated that the new equation can safely be used by designers in the problems of slurry transportation.

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References

1.
ASCE. ( 1975). Sedimentation engineering, Manuals and reports on engineering practice, No. 54, V. A. Vanoni, ed.
2.
Avcı, I. ( 1981). “Experimentally determination of critical flow velocity in sediment carrying pipeline systems.” Tech. Rep., Technical University, Istanbul, Turkey (in Turkish).
3.
Babcock, H. A. ( 1971). “Heterogeneous flow of heterogeneous solids.” Paper 8, Advances in solid-liquid flow in pipes and applications, I. Zandin, ed., Pergamon, New York, 125–148.
4.
Cheng, N. S. (1997a). “Simplified settling velocity formula for sediment particle.”J. Hydr. Engrg., ASCE, 123(2), 149–152.
5.
Cheng, N. S. (1997b). “Effect of concentration on settling velocity of sediment particles.”J. Hydr. Engrg., ASCE, 123(8), 728–731.
6.
Durand, R. ( 1952). “The hydraulic transportation of coal and other materials in pipes.” College of National Coal Board, London.
7.
Durand, R. ( 1953). “Basic relationships of the transportation of solids in pipes—Experimental research.” Proc., Minnesota Int. Hydr. Conf., 89–103.
8.
Göğüş, M., and Çıray, C. ( 1990). “Optimum design of water jet pumps with application to solid transportation through pipeline systems.” Final Rep., AFP Proj. No: 87-03-03, Vol. I and II, Civ. Engrg. Dept., Middle East Technical University, Ankara, Turkey.
9.
Göğüş, M., and Kökpınar, M. A. ( 1993). “Determination of critical flow velocity in slurry transporting pipeline systems.” Proc., 12th Int. Conf. on Slurry Handling and Pipeline Transport, British Hydraulic Research Group, Bedfordshire, England, 743–757.
10.
Graf, W. H. ( 1971). Hydraulics of sediment transport, Series in water resources and environmental engineering, McGraw-Hill, New York.
11.
Graf, W. H., Robinson, M. P., and Yücel, Ö. ( 1970). “Critical velocity for solid-liquid mixtures.” The Lehigh Experiments, Lehigh University, Bethlehem, Pa.
12.
Hungmark, G. A. ( 1961). “Aqueous transport of settling slurry.” Industrial and Engrg. Chem., 53, 389–390.
13.
Kökpınar, M. A. ( 1990). “Design criterion for water jet pumps and determination of critical flow velocity in sediment carrying pipeline systems.” Master's thesis in Civ. Engrg., Middle East Technical University, Ankara, Turkey.
14.
Larsen, I. ( 1968). “Discussion of `Heterogeneous flow of solids in pipelines. by I. Zandi and G. Gavatos.” Proc., ASCE, 94(1), 332–333.
15.
Matousek, V. ( 1996). “Solid transportation in a long pipeline connected with a dredge.” Terra et Aqua, 62, 3–11.
16.
Mitzmager et al. ( 1964). “Rapid computation of settling or rising velocity of spherical particles in fluid media.” British Chemical Engrg., 9, 314–315.
17.
Rose, H. E., and Duckworth, R. A. ( 1969). “Transport of solid particles in liquids and gases.” The Engr., London, 227, 478–483.
18.
Sha, Y. Q. ( 1956). “Basic principles of sediment transport.” J. Sediment Res., 1(2), 1–54.
19.
Sinclair, C. G. ( 1962). “The limit deposit-velocity of heterogeneous suspensions.” Proc., 3rd Congr. of the Eur. Fedn. of Chemical Engrg., Institute of Chemical Engineering, London, A68–A76.
20.
Spells, K. E. ( 1955). “Correlation for use in transport of aqueous suspensions of fine solids through pipes.” Trans., Inst. of Chemical Engrg., 33, 79–81.
21.
Swamee, P. K. (1995). “Design of sediment-transporting pipeline.”J. Hydr. Engrg., ASCE, 121(1), 72–76.
22.
Thomas, D. G. ( 1956). “Transport characteristics of suspensions: Part VIII. A note on the viscosity of Newtonian suspensions of uniform spherical particles.” J. Colloid Sci., 20(1), 267–275.
23.
Wasp, E., Kenny, J., and Gandhi, R. ( 1979). Solid-liquid flow slurry pipeline transportation, Trans. Tech. Publications, Houston.
24.
Wicks, M. ( 1968). “Transportation of solids at low concentrations in horizontal pipes.” Proc., ASCE Int. Symp. on Solid-Liquid Flow in Pipes, ASCE, New York, 101–124.
25.
Wiendenroth, W. ( 1967). “Researches on the conveying of solid-liquid mixtures through pipelines and centrifugal pumps.” Diss. Tech. Hochschule Hannover, No 54.
26.
Yotsukura, N. ( 1961). “Some effects of bentonite suspensions on sand transport in a smooth 4-inch pipe.” PhD dissertation, Colorado State University, Fort Collins, Colo.
27.
Zandi, I., and Gavatos, G. (1967). “Heterogeneous flow of solids in pipelines.”J. Hydr. Div., ASCE, 93(3), 145–159.

Information & Authors

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 127Issue 9September 2001
Pages: 763 - 771

History

Received: May 14, 1999
Published online: Sep 1, 2001
Published in print: Sep 2001

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Authors

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PhD, Hydr. Lab., Tech. Res. and Quality Control Dept., State Hydr. Works, Yücetepe, Ankara, 06100, Turkey.
Prof., Hydr. Lab., Dept. of Civ. Engrg., Middle East Tech. Univ., Ankara, 06531, Turkey.

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