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Turbulence in Wall-Wake Flow Downstream of an Isolated Dune

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Recent Trends in Environmental Hydraulics

Part of the book series: GeoPlanet: Earth and Planetary Sciences ((GEPS))

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Abstract

The study deals with the variations of third-order moments of velocity fluctuations, turbulent bursting and turbulent kinetic energy (TKE) budget downstream of an isolated dune mounted on a rough bed in an open channel. The experimental data demonstrates that in the wall-wake flow, the third-order moments change their signs below the crest level of the dune, whereas their signs remain unchanged above the crest. The near-wake flow is characterized by sweep events and the far-wake flow is governed by the ejection. In the near-wake flow, the mean duration of bursting events is shorter than their mean interval of occurrence. Downstream of the dune, the turbulent production and energy dissipation start with large positive values in the vicinity of the bed and decrease with an increase in vertical distance until the lower-half of the height of dune. However, all the changes in the turbulence characteristics are significant at the near-wake zones that fade away after a certain distance in the downstream.

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References

  • Akilli H, Rockwell D (2002) Vortex formation from a cylinder in shallow water. Phys Fluids 14(9):2957–2967

    Article  ADS  Google Scholar 

  • Anta J, Mera I, Pena E, Louro A (2011) Two-layer exchange flows over a dune: effect of large-scale bottom roughness. J Vis 14(2):99–101

    Article  Google Scholar 

  • ASCE Task Force (2002) Flow and transport over dunes. J Hydraul Eng 128(8):726–728

    Article  Google Scholar 

  • Best JL (2005) The kinematics, topology and significance of dune-related macroturbulence: some observations from the laboratory and field. In: Blum MD, Marriott SB, Leclair S (eds) Fluvial sedimentology VII. Special Publication of International Association of Sedimentologists, vol 35, pp 41–60

    Google Scholar 

  • Dey S, Das R (2012) Gravel-bed hydrodynamics: a double-averaging approach. J Hydraul Eng 138(8):707–725

    Article  Google Scholar 

  • Dey S, Sarkar S (2019) Turbulent length scales and Reynolds stress anisotropy in wall-wake flow downstream of an isolated dunal bedform. In: Kalinowska MB, Rowinski PM (eds) Recent trends in environmental hydraulics. Springer, Berlin (in press)

    Google Scholar 

  • Dey S, Sarkar S, Bose SK, Tait S, Castro-Orgaz O (2011) Wall-wake flows downstream of a sphere placed on a plane rough wall. J Hydraul Eng 137(10):1173–1189

    Article  Google Scholar 

  • Dey S, Swargiary D, Sarkar S, Fang H, Gaudio R (2018a) Self-similarity in turbulent wall-wake flow downstream of a wall-mounted vertical cylinder. J Hydraul Eng 144(6):04018023

    Article  Google Scholar 

  • Dey S, Swargiary D, Sarkar S, Fang H, Gaudio R (2018b) Turbulence features in a wall-wake flow downstream of a wall-mounted vertical cylinder. Eur J Mech B/Fluids 69:46–61

    Article  ADS  Google Scholar 

  • Dey S, Lodh R, Sarkar S (2018c) Turbulence characteristics in wall-wake flows downstream of wall-mounted and near-wall horizontal cylinders. Environ Fluid Mech 18(4):891–921

    Article  Google Scholar 

  • Gad-El-Hak M, Bandyopadhyay PR (1994) Reynolds number effects in wall-bounded turbulent flows. Appl Mech Rev 47(8):307–365

    Article  ADS  Google Scholar 

  • Goring DG, Nikora VI (2002) Despiking acoustic Doppler velocimeter data. J Hydraul Eng 128(1):117–126

    Article  Google Scholar 

  • Kahraman A, Sahin B, Rockwell D (2002) Control of vortex formation from a vertical cylinder in shallow water: effect of localized roughness elements. Exp Fluids 33(1):54–65

    Article  Google Scholar 

  • Lu SS, Willmarth WW (1973) Measurements of the structures of the Reynolds stress in a turbulent boundary layer. J Fluid Mech 60(3):481–511

    Article  ADS  Google Scholar 

  • Maddux TB, Nelson JM, McLean SR (2003a) Turbulent flow over three-dimensional dunes: 1. Free surface and flow response. J Geophys Res 108(F1):6009

    Google Scholar 

  • Maddux TB, Nelson JM, McLean SR (2003b) Turbulent flow over three-dimensional dunes: 2. Fluid and bed stresses. J Geophys Res 108(F1):6010

    Google Scholar 

  • McLean SR, Smith JD (1986) A model for flow over two-dimensional bed forms. J Hydraul Eng 112(4):300–317

    Article  Google Scholar 

  • Nelson JM, Smith JD (1989) Mechanics of flow over ripples and dunes. J Geophys Res 94(C6):8146–8162

    Article  ADS  Google Scholar 

  • Nezu I, Nakagawa H (1993) Turbulence in open-channel flows. IAHR monograph. Balkema, Rotterdam, The Netherlands, pp 77–79

    Google Scholar 

  • Raupach MR (1981) Conditional statistics of Reynolds stress in rough-wall and smooth-wall turbulent boundary layers. J Fluid Mech 108(July):363–382

    Article  ADS  Google Scholar 

  • Sadeque MAF, Rajaratnam N, Loewen MR (2009) Shallow turbulent wakes behind bed-mounted cylinders in open channels. J Hydraul Res 47(6):727–743

    Article  Google Scholar 

  • Sarkar S, Dey S (2015) Turbulent length scales and anisotropy downstream of a wall mounted sphere. J Hydraul Res 53(5):649–658

    Article  Google Scholar 

  • Sarkar S, Papanicolaou AN, Dey S (2016) Turbulence in a gravel-bed stream with an array of large gravel obstacles. J Hydraul Eng 142(11):04016052

    Article  Google Scholar 

  • Sinha S, Hardy RJ, Blois G, Best JL, Sambrook Smith GH (2017) A numerical investigation into the importance of bed permeability on determining flow structures over river dunes. Water Resour Res 53(4):3067–3086

    Article  ADS  Google Scholar 

  • Sukhodolov AN, Fedele JJ, Rhoads BL (2006) Structure of flow over alluvial bedforms: an experiment on linking field and laboratory methods. Earth Surf Process Landf 31(10):1292–1310

    Article  ADS  Google Scholar 

  • Tachie MF, Balachandar R (2001) Shallow wakes generated on smooth and rough surfaces. Exp Fluids 30(4):467–474

    Article  Google Scholar 

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Correspondence to Sankar Sarkar .

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Sarkar, S., Dey, S. (2020). Turbulence in Wall-Wake Flow Downstream of an Isolated Dune. In: Kalinowska, M., Mrokowska, M., Rowiński, P. (eds) Recent Trends in Environmental Hydraulics. GeoPlanet: Earth and Planetary Sciences. Springer, Cham. https://doi.org/10.1007/978-3-030-37105-0_21

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