Technical Papers
Jun 15, 2012

Vortex-Excited Transverse Surface Waves in an Array of Randomly Placed Circular Cylinders

Publication: Journal of Hydraulic Engineering
Volume 138, Issue 7

Abstract

The results of an experimental investigation on the generation of transverse surface waves inside an array of randomly placed circular glass cylinders are presented. The transverse waves are generated from the forces developed by periodic vortex shedding from the glass cylinders. A lock-on, or a coupling, can occur between the vortex-shedding frequency and the frequency of transverse water waves. In all the experimental runs, the amplitude of the periodic transverse waves initially increased with an increase in water depth but decreased rapidly after reaching a maximum value. The amplitude reached a maximum value at a critical value of the water depth. The maximum amplitude increased with an increase in cylinder diameter. For the lengths of all of the arrays, the maximum amplitude occurred at approximately one-fifth of the total length from the upstream edge of the array. The maximum amplitude across the array increased with increasing Reynolds number until a critical value of the Reynolds number is reached, for which surface waves form and the amplitude is at its maximum. This critical value of the Reynolds number and the range of flow velocity for which the surface waves exist are different for different cylinder diameters. A previous mathematical model developed for the prediction of amplitudes has been modified for random arrays, which agrees well with the present experimental data.

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References

Blevins, R. D. (1977). Flow induced vibrations, Van Nostrand Reinhold, New York.
Clays, D., and Tison, G. (1968). “Discussion of ‘Vortex induced oscillations at low-head weirs’.” J. Hydraul. Div.JYCEAJ, 94(4), 1160–1168.
Dean, G. D., and Dalrymple, R. A. (1984). Water wave mechanics for engineers and scientists, World Scientific, London.
Falvey, H. T. (2003). “Discussion of ‘Wave generation in open channels by vortex shedding from channel obstructions’ by L. Zima and N. L. Ackermann.” J. Hydraul. Eng.JHEND8, 129(11), 919–920.
Fonseca, M., Fisher, J., Zieman, J., and Thayer, G. (1983). “Influence of the seagrass, Zostera marina L., on current flow.” Estuarine, Coastal Shelf Sci.ECSSD3, 15(4), 351–364.
Gambi, M., Nowell, A., and Jumars, P. (1990). “Flume observations on flow dynamics in zostera marina (eelgrass) beds.” Mar. Ecol. Prog. Ser.MESEDT, 61, 159–169.
Gaydon, M., and Rockwell, D. (1999). “Vortices incident upon an oscillating cylinder: Flow structure and loading.” J. Fluids Struct., 13(6), 709–722.
Griffin, O. N., and Hall, M. S. (1991). “Vortex shedding lock-on and flow control in bluff body wakes-review.” J. Fluids Eng.JFEGA4, 113(4), 526–537.
Gurka, R., Liberzon, A., Hefetz, D., Rubinstein, D., and Shavit, U. (1999). “Computation of pressure distribution using PIV velocity data.” Third Int. Workshop on Particle Image Velocimetry, Institut für Wasserbau und Wasserwirtschaft (IWW), Aachen, Germany, 671–676.
Keane, R. D., and Adrian, R. J. (1992). “Theory of cross-correlation analysis of PIV images.” Appl. Sci. Res.ASRHAU, 49(3), 191–215.
Konstantinidis, E., Balabani, S., and Yianneskls, M. (2002). “A study of vortex shedding in a staggered tube array for steady and pulsating cross flow.” J. Fluids Eng.JFEGA4, 124(3), 737–746.
Konstantinidis, E., Castiglia, D., Balabani, S., and Yianneskis, M. (2000). “On the flow and vortex shedding characteristics of an in-line tube bundle in steady and pulsating crossflow.” Chem. Eng. Res. Des.CERDEE, 78(8), 1129–1138.
Nepf, H. M., Sullivan, J. A., and Zavistoski, R. A. (1997). “A model for diffusion within emergent vegetation.” Limnol. Oceanogr.LIOCAH, 42(8), 1735–1745.
Oengören, A., and Ziada, S. (1998). “An in-depth study of vortex shedding, acoustic resonance and turbulent forces in normal triangle tube arrays.” J. Fluids Struct., 12, 717–758.
Polak, D. R., and Weaver, D. S. (1995). “Vortex shedding in normal triangular tube arrays.” J. Fluids Struct., 9(1), 1–17.
Rohde, F. G., Rouve, G., and Pasche, E. (1980). “Self-excited oscillatory surface waves around cylinders.” Practical experiences with flow induced vibrations, Naudascher, E. and Rockwell, D., eds., Springer, New York.
Roshko, A. (1954). “A new hodograph for free streamline theory.” NACA TN 3168, National Advisory Committee for Aeronautics, Washington, DC.
Schuster, J. C. (1967). “Canal capacity studies, wave formation by bridge piers.” Hydraulics Branch Rep., HYD-485, U.S. Bureau of Reclamation, Washington, DC.
Serra, T., Fernando, H. J. S., and Rodriguez, R. V. (2004). “Effects of emergent vegetation on lateral diffusion in wetlands.” Water Res.WATRAG, 38(1), 139–147.
Shavit, U., Lowe, R. J., and Steinbuck, J. V. (2006). “Intensity capping: A simple method to improve cross-correlation PIV results.” Exp. FluidsEXFLDU, 42(2), 225–240.
Stone, B. M., and Shen, H. T. (1999). “Hydraulics of flow in vegetated channels.” Proc., Water Resources Engineering, ASCE, Reston, VA.
Sumer, B. M., and Fredsoe, J. (1997). Hydrodynamics around cylindrical structures, World Scientific, Singapore.
Sveen, K. J. (2004). “An introduction to MatPIV v 1.6.1.” Eprint series., Dept. of Mathematics, Univ. of Oslo, Oslo, Norway.
Tsujimoto, T. (1992). “Spectral analysis of velocity and water surface fluctuations appearing in an open channel with vegetated and non-vegetated regions in a cross-section.” Proc. 6th IAHR Symp., International Association for Hydraulic Research (IAHR), Madrid, Spain, 361–368.
Tsujimoto, T., and Kitamura, T. (1992). “Transverse mixing associated with surface wave in open channel flow with longitudinal zone of vegetation.” Proc. Hydraul. Eng., ASCE, Reston, VA, 36, 273–280.
Weaver, D. S., and Fitzpatrick, J. A. (1988). “A review of cross flow induced vibration in heat exchanger tube arrays.” J. Fluids Struct., 2(1), 73–93.
Zima, L., and Ackermann, N. L. (2002). “Wave generation in open channels by vortex shedding from channel obstructions.” J. Hydraul. Eng., 128(6), 596–603.
Zukauskas, A. (1972). “Heat transfer from tubes in cross flow.” Adv. Heat Transf.AHTRAR, 8, 93–160.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 138Issue 7July 2012
Pages: 610 - 618

History

Received: Nov 23, 2009
Accepted: Jan 13, 2012
Published online: Jun 15, 2012
Published in print: Jul 1, 2012

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Authors

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Arindam Sarkar [email protected]
Assistant Professor, School of Infrastructure, Indian Inst. of Technology, Bhubaneswar 751013, Odisha, India. E-mail: [email protected]

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