TECHNICAL NOTES
Apr 15, 2011

Mathematical Modeling of Lake Tap Flows

Publication: Journal of Hydraulic Engineering
Volume 137, Issue 5

Abstract

A lake tap is the submerged piercing of a tunnel at the intake to connect the reservoir to the tunnel system. It is referred to as a dry lake tap if the tunnel is dry before the blasting of the last rock plug at the tunnel entrance. Transient state conditions in the tunnel following a dry lake tap are modeled using the lumped and distributed-system approaches. Fourth-order Runge-Kutta method and the method of characteristics are used in the lumped-system model and distributed-system models, respectively. The results computed by the lumped and distributed-system approaches agree with one another. Pressures computed by using distributed-system and lumped-system models are compared with the experimental results available in literature for rapid filling of a pipeline with closed end. The rate of dissipation of pressure oscillations in the measured air pressure during prototype lake tap at Crater Lake Snettisham project in Alaska, and in the experiments reported in the literature is higher than that computed by the mathematical models using steady state friction and constant wave velocity.

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Acknowledgments

The authors thank the United States Army Corps of EngineersUSACE, Alaska District, Anchorage, Alaska, for their permission for the data on Crater Lake Tap, Snettisham project, and also thank the anonymous reviewers whose comments improved the quality and presentation of this material.

References

Chaudhry, M. H. (1987a). Applied hydraulic transients, 2nd Ed., Van Nostrand Reinhold, New York.
Chaudhry, M. H. (1987b). “Lake tap hydraulic transient analysis, Crater Lake development.” Rep. prepared for U.S. Army Corps of Engineers, Anchorage, AK.
Izquierdo, J., Fuertes, V. S., Cabrera, E., Iglesias, P. L., and Garcia-Serra, J. (1999). “Pipeline start-up with entrapped air.” J. Hydraul. Res., 37(5), 579–590.
Lee, N. H., and Martin, C. S. (1999). “Experimental and analytical investigation of entrapped air in a horizontal pipe.” Proc., of the 3rd ASME/JSME Joint Fluids Engineering Conference, ASME, New York.
Liou, C. P., and Hunt, W. H. (1996). “Filling of pipelines with undulating elevation profiles.” J. Hydraul. Eng., 122(10), 534–539.
Martin, C. S. (1976). “Entrapped air in pipelines.” Proc., Second Conf. on Pressure Surges, British Hydromechanics Research Association (BHRA), Cranfield, United Kingdom.
U.S. Army Corps of Engineers. (1986). “Crater Lake tap—Snettisham hydroelectric project.” File 484/West, District Alaska.
Vasconcelos, J. G., and Wright, S. J. (2008). “Rapid flow startup in filled horizontal pipelines.” J. Hydraul. Eng., 134(7), 984–992.
Zhou, F., Hicks, F., and Steffler, V. (2002). “Transient flow in a rapidly filling horizontal pipe containing trapped air.” J. Hydraul. Eng., 128(6), 625–634.

Information & Authors

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 137Issue 5May 2011
Pages: 611 - 614

History

Received: Dec 5, 2008
Accepted: Oct 8, 2010
Published online: Apr 15, 2011
Published in print: May 1, 2011

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Authors

Affiliations

M. Hanif Chaudhry, F.ASCE [email protected]
Mr. and Mrs. Irwin B. Kahn Professor and Assoc. Dean, College of Engineering and Computing, Univ. of South Carolina, 300 Main St., Columbia, SC 29208 (corresponding author). E-mail: [email protected]
H. Prashanth Reddy, M.ASCE [email protected]
Postdoctoral Fellow, Dept. of Civil and Environmental Engineering, Univ. of South Carolina, 300 Main St., Columbia, SC 29208. E-mail: [email protected]

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