Filling of Pipelines with Undulating Elevation Profiles
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Volume 122, Issue 10
Abstract
A model is formulated to describe the unsteady motion of a lengthening rigid water column filling an empty pipeline with an undulating elevation profile. The model gives time histories of the water column's length, velocity, and pressure at various locations. A criterion to judge the applicability of the model is given in terms of air intrusion at the advancing front. The early phase of filling was investigated experimentally. The model yields velocities comparable with the experimental data. A high but short-lived peak velocity can occur when the inlet submergence is large, the entrance head loss small, and the length of water column short. As the column lengthens, it accelerates or decelerates according to the undulating profile, the inertia of the column, and the velocity history. The interaction of these variables is captured by the model. Applications of the model for assessing the velocity history and for judging the occurrence of column separation in filling an undulating pipeline are demonstrated by an example.
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References
1.
Albertson, M. L., and Andrews, J. S. (1971). “Transients caused by air release.”Proc., Control of Flow in Closed Conduits, J. Paul Tullis, ed., Colorado State Univ., Fort Collins, Colo., 315–340.
2.
Barbin, A. R., and Jones, J. B. (1963). “Turbulent flow in the inlet region of a smooth pipe.”J. of Basic Engrg., Trans. of the Am. Soc. of Mech. Engrs., Vol. 85, Series D, 29–34.
3.
Benjamin, T. B.(1968). “Gravity current and related phenomena.”J. of Fluid Mech., 31(2), 209–248.
4.
Chaudhry, H. M. (1989). “Application of lumped and distributed approaches for hydraulic transient analysis.”Proc., Int. Congr. on Cases and Accidents in Fluid Sys., ANAIS, Polytechnic University of Sao Paulo, Brazil.
5.
Idelchik, I. E. (1986). Handbook of hydraulic resistance, 2nd Ed., Hemisphere Publishing Corp., Washington, D.C., 122.
6.
Martin, C. S. (1976). “Entrapped air in pipelines.”Proc., Second Int. Conf. on Pressure Surges, British Hydromech. Res. Assoc., London, England, F2-15–F2-28.
7.
Miller, D. S. (1978). Internal flow systems . British Hydromech. Res. Assoc. Fluid Engrg., 269.
8.
Olson, R. M., and Sparrow, E. M.(1963). “Measurements of turbulent flow development in tubes and annuli with square and rounded entrances.”Am. Inst. of Chem. Engrg. J., 9(6), 766–770.
9.
Prandtl, L., and Tietjens, O. G. (1934). Fundamentals of hydroand aeromechanics . Dover Publications, Inc., New York, N.Y., 118–120.
10.
Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T. (1989). Numerical recipes . Cambridge University Press, New York, N.Y., 550–560.
11.
Swamee, P. K., and Jain, A. K.(1976). “Explicit equations for pipe-flow problems.”J. of the Hydr. Div., 102(5), 657–664.
12.
Townson, J. M. (1991). Free-surface hydraulics . Unwin Hyman, London, England, 206–208.
13.
Zukoski, E. E.(1966). “Influence of viscosity, surface tension, and inclination on motion of long bubbles in closed tubes.”J. of Fluid Mech., 25(4), 821–837.
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Copyright © 1996 American Society of Civil Engineers.
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Published online: Oct 1, 1996
Published in print: Oct 1996
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