Turbulence Statistics of Wave-Current Flow over a Submerged Cube
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 142, Issue 3
Abstract
This paper describes an experimental study carried out in a laboratory flume to investigate the interaction of a surface wave with a unidirectional current over a submerged cubic obstacle. The three-dimensional velocity field was measured using an acoustic Doppler velocimeter (ADV). The results highlight the changes induced in the mean velocity profile, turbulent intensity, and Reynolds shear stress in a plane of symmetry from the superposition of surface waves of different frequencies. Modifications in the mean velocities, turbulence intensities, and Reynolds shear stresses with respect to the flat surface case, in the vicinity of the cube, are explored. This study also investigates the dominant turbulent bursting event that contributes to the Reynolds shear stress in the near-bed flow influenced by the cube. The results show that near the boundary, the contributions to the total shear stress from ejection and sweep are dominant. However, away from the boundary, the outward and inward interactions illustrate the prominence of wave−current interacting flow over the cube, which differs greatly from the flow over a flat surface. The mean time intervals of the occurrence of bursting events are obtained from the measurements of the fractional contributions to the total shear stress. The distribution of these time intervals is found to change because of the superposition of waves. As the frequency of the surface waves in a unidirectional current changes, the results show variations in the mean flow and the turbulence statistics that affect the local sediment mobility in the flow region influenced by the submerged cube.
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Acknowledgments
The authors acknowledge the Department of Science and Technology (DST), Government of India, for financial support for this research (Contract No. SR/S3/MERC/026/2011). Kind cooperation extended by scientists Milind Kulkarni and Satish S. Sonwane of the DST, Government of India, is gratefully acknowledged. The authors express their sincere thanks to the Associate Editor and two anonymous reviewers for their critical comments and suggestions for improvement of the paper. The Director of IIEST Shibpur is greatfully acknowledged for inspiring Prof. B. S. Mazumder to join Prof. K. Debnath and his team to work in their Fluid Mechanics and Hydraulic Laboratory.
References
Brevik, I. (1980). “Flume experiment on waves and currents: II. Smooth bed.” Coastal Eng., 4, 89–110.
Brevik, I., and Aas, B. (1980). “Flume experiment on waves and currents: I. Rippled bed.” Coastal Eng., 3, 149–177.
Castro, I. P., and Robins, A. G. (1977). “The flow around a surface-mounted cube in uniform and turbulent streams.” J. Fluid Mech., 79(2), 307–335.
Castro, I. P. (1981). “Measurements in shear layers separating from surface-mounted bluff bodies.” J. Wind Eng. Ind. Aerodyn., 7(3), 253–272.
Coceal, O., Dobre, A., Thomas, T. G., and Belcher, S. E. (2007). “Structure of turbulent flow over regular arrays of cubical roughness.” J. Fluid Mech., 589, 375–409.
Conley, D. C., and Inman, D. L. (1992). “Field observations of the fluid-granular boundary layer under near-breaking waves.” J. Geophys. Res., 97(C6), 9631–9642.
Dean, R. G., and Dalrymple, R. A. (2000). Water waves mechanics for engineers and scientists, World-Scientific, Singapore.
Debnath, K., Manik, M. K., and Mazumder, B. S. (2012). “Turbulence statistic of flow over scoured cohesive sediment bed around circular cylinder.” Adv. Water Resour., 41, 18–28.
Farhadi, M., and Rahnama, M. (2006). “Large eddy simulation of separated flow over wall-mounted cube.” Int. J. Sc. Tech., 13(2), 123–133.
Fredsøe, J., Andersen, K. H., and Sumer, B. M. (1999). “Wave plus current over a ripple covered bed.” Coastal Eng., 38(4), 177–221.
Goring, D. G., and Nikora, V. I. (2002). “Despiking acoustic Doppler velocimeter data.” J. Hydraul Eng., 117–126.
Grant, W. D., and Madsen, O. S. (1979). “Combine wave and current interaction with rough bottom.” J. Geophys. Res., 84(C4), 1797–1808.
Grass, A. J. (1971). “Structural features of turbulent flow over smooth and rough boundaries.” J. Fluid Mech., 50(2), 233–255.
Groeneweg, J., and Battjes, J. A. (2003). “Three dimensional wave effects on a steady current.” J. Fluid Mech., 478, 325–343.
Huang, Z., and Mei, C. (2003). “Effects of surface waves on a turbulent current over a smooth or rough seabed.” J. Fluid Mech., 497, 253–287.
Hurther, D., and Lemmin, U. (2000). “Shear stress statistics and wall similarity analysis in turbulent boundary layers using a high resolution 3-D ADVP.” IEEE J. Ocean Eng., 25(4), 446–457.
Hussein, J. H., and Martinuzzi, J. R. (1996). “Energy balance for turbulent flow around a surface mounted cube placed in a channel.” Phys. Fluids, 8(3), 764–780.
Ikeda, S., and Asaeda, T. (1983). “Sediment suspension with rippled bed.” J. Hydraul Eng., 409–423.
Jiang, J. Y., Street, R. L., and Klotz, S. P. (1990). “A study of wave-turbulence interaction by use of nonlinear water wave decomposition.” J. Geophys. Res., 95(C9), 16037–16054.
Kemp, P. H., and Simons, R. R. (1982). “The interaction between waves and a turbulent current: Waves propagating with the current.” J. Fluid Mech., 116, 227–250.
Kemp, P. H., and Simons, R. R. (1983). “The interaction of waves and a turbulent current: Waves propagating against the current.” J. Fluid Mech., 130, 73–89.
Kim, H. B., and Lee, S. J. (2001). “Time resolved velocity field measurement of separated flow in front of a vertical fence.” Exp. Fluids, 31(3), 249–257.
Klopman, G. (1994). “Vertical structure of the flow due to waves and current: laser-Doppler flow measurements for waves following or opposing a current.” Rep. No. H840.32, Delft Hydraul, Delft, The Netherlands.
Klopman, G. (1997). “Secondary circulation of the flow due to waves and current: Laser-Doppler flow measurement for waves following or opposing a current.” Rep. No. Z2247, Delft Hydraul, Delft, The Netherlands.
Lacey, R. W. J., and Rennie, D. C. (2012). “Laboratory investigation of turbulent flow structure around a bed-mounted cube at multiple flow stages.” J. Hydraul. Eng., 71–83.
Lakehal, D., and Rodi, W. (1997). “Calculation of the flow past a surface mounted- cube with two-layer turbulence models.” J. Wind Eng. Ind. Aerodyn., 67–68, 65–78.
Long, D., Steffler, P. M., and Rajaratnam N. (1990). “LDA study of flow structure in submerged hydraulic jump.” J. Hydraul. Res., 28(4), 437–460.
Lim, H. E., Thomas, T. G., and Castro, P. (2009). “Flow around a cube in a turbulent boundary layer: LES and experiment.” J. Wind Eng. Ind. Aerodyn., 97(2), 96–109.
Maity, H., and Mazumder, B. S. (2014a). “Experimental investigation of the impacts of coherent flow structures upon turbulence properties in region of crescentic scour.” J. Earth Surf. Process. Landforms, 39(8), 995–1013.
Maity, H., and Mazumder, B. S. (2014b). “Investigation of the impacts of coherent flow structures upon turbulence properties in regions of fluvial scour.” River Flow 2014, A. J. Schleiss, G. de Cesare, M. J. Franca, M. Pfister, eds., Taylor & Francis Group, London, 127–132.
Mazumder, B. S., and Ojha, S. P. (2007). “Turbulence statistics of flow due to wave–current interaction.” Flow Meas. Instrum., 18(3–4), 129–138.
Mazumder, B. S., and Sarkar, K. (2014). “Turbulent flow characteristics and drag over 2-D forward-facing dune shaped structures with two different stoss-side slopes.” Env. Fluid Mech., 14(3), 617–645.
Martinuzzi, R. J., and Havel, B. (2000). “Turbulent flow around two interfering surface mounted cubic obstacles in tandem arrangement.” J. Fluid Eng., 122(1), 24–31
McLelland, S. J., and Nicholas, A. P. (2000). “A new method for evaluating errors in high-frequency ADV measurements.” Hydrol. Processes, 14(3), 351–366.
Nakagawa, H., and Nezu, I. (1977). “Prediction of the contributions to the Reynolds stress from bursting events in open channel flows.” J. Fluid Mech., 80(1), 99–128.
Nezu, I., and Rodi, W. (1986). “Open-channel measurement with a laser Doppler anemometer.” J. Hydraul Eng., 335–355
Nezu, I., and Nakagawa, H. (1993). Turbulence in open-channel flows. A. A. Balkema, ed., CRC Press, Rotterdam.
Nikora, V. I., and Goring, D. G. (1998). “ADV measurements of turbulence: Can we improve their interpretation?” J. Hydraul. Eng., 630–634.
Ojha, S. P., and Mazumder, B. S. (2010). “Turbulence characteristics of flow over a series of 2-D bed forms in the presence of surface waves.” J. Geophys. Res., 115, 1–15.
Parsheh, M., Sotiropoulos, F., and Porté-Agel, F. (2010). “Estimation of power spectra of acoustic doppler-velocimetry data contaminated with intermittent spikes.” J. Hydraul. Eng., 368–378.
Pope, S. B. (2000). “Turbulent flows.” Cambridge Univ. Press, Cambridge.
Raupach, M. R. (1981). “Conditional statistics of Reynolds stress in rough-wall and smooth-wall turbulent boundary-layer.” J. Fluid Mech., 108, 363–382.
Sarkar, A., and Ratha, D. (2014). “Flow around submerge structures subjected to shallow submergence over a plane bed.” J. Fluids Struct., 44, 166–181.
Sarkar, K., and Mazumder, B. S. (2014). “Turbulent flow over the trough region formed by pair of forward-facing bed-form shapes.” Eur. J. Mech. B. Fluids, 46, 126–143.
Schlichting, H. (1960). Boundary layer theory, 4th Ed. McGraw Hill, New York.
Shah, K. B., and Ferziger, J. H. (1997). “A fluid mechanicians view of wind engineering: Large eddy simulation of flow past a cubic obstacle.” J. Wind Eng. Ind. Aerodyn., 67–68, 211–224.
Sleath, J. F. A. (1987). “Turbulent oscillatory flow over rough beds.” J. Fluid Mech., 182, 369–409.
Tachie, M. F., Balachandar, R., and Bergstrom, D. J. (2004). “Roughness effects on turbulent plane wall jets in an open channel.” Exp. Fluids, 37(2), 281–292.
Teles, M. J., Pires-Silva, A. A., and Benoit, M. (2013). “Numerical modelling of wave current interactions at local scale.” Ocean Modell., 68, 72–87.
Umeyama, M. (2005). “Reynolds stresses and velocity distributions in a wave-current coexisting environment.” J. Waterway, Port, Coastal, Ocean Eng., 203–212.
Umeyama, M. (2009). “Changes in turbulent flow structure under combined wave-current motions” J. Waterway, Port, Coastal, Ocean Eng., 213–227.
Venditti, J. G., and Bauer, B. O. (2005). “Turbulent flow over a dune: Green River Colorado.” Earth Surf. Proc. Landf., 30(3), 289–304.
Venditti, J. G., and Bennett, S. J. (2000). “Spectra analysis of turbulent flow and suspended sediment transport over fixed dunes.” J. Geophys. Res., 105(C9), 22035–22047.
Wahl, T. L. (2000). “Analyzing ADV data using Win-ADV.” Chapter 3, sect. 75, Building partnerships, R. H. Hotchkiss, M. Glade, eds., ASCE, New York.
You, Z. (1996). “The effect of wave-induced stress on current profiles.” Ocean Eng., 23(7), 619–628.
Yang, S. Q., Tan, S. K., Lim, S. Y., and Zhang, S. F. (2006). “Velocity distribution in combined wave-current flows.” Adv. Water Resour., 29(8), 1196–1208.
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Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 142 • Issue 3 • May 2016
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© 2015 American Society of Civil Engineers.
History
Received: Mar 12, 2015
Accepted: Sep 23, 2015
Published online: Dec 31, 2015
Published in print: May 1, 2016
Discussion open until: May 31, 2016
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