Skip to main content
Log in

Organized structure of turbulence in wave-current combined flow over rough surface using spatio-temporal averaging approach

  • Technical Paper
  • Published:
Journal of the Brazilian Society of Mechanical Sciences and Engineering Aims and scope Submit manuscript

Abstract

The present study experimentally investigated near-bed coherent structures of turbulence over rough surface in the presence of surface waves over the steady current by replicating it in a laboratory flume. The rough surface was modelled by using wooden ribs of square cross section extended across the whole channel width of flume. The instantaneous velocities at different positions in the flow field were measured by using an acoustic Doppler velocimeter. The recorded velocities data were examined to investigate the coherent structures of turbulence near rough surface using the spatio-temporal averaging approach. Pre-multiplied velocity spectra, co-spectral, and coherency were evaluated in frequency domain at different vertical positions under different flow conditions. Length scales were determined to quantify the eddy size within the flow domain, and the anisotropy invariant maps were also obtained to characterize the anisotropic flow under different roughness conditions in wave-current flow cases. Results show increased correlation between velocity fluctuations in the large-scale low-frequency region due to the addition of surface waves, which accounts for the major part of Reynolds stress. Furthermore, turbulence dissipation in the near-bed region was found to be strongly dependent on roughness characteristics.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. Keylock CJ, Lane SN, Richards KS (2014) Quadrant/octant sequencing and the role of coherent structures in bed load sediment entrainment. J Geophys Res Earth Surf 119(2):264–286

    Google Scholar 

  2. Franklin EM, Charru F (2011) Subaqueous barchan dunes in turbulent shear flow. Part 1. Dune motion. J Fluid Mech 675:199–222

    MATH  Google Scholar 

  3. Singh SK, Debnath K, Mazumder BS (2017a) Turbulence over cube-mounted rough bed using spatiotemporal averaging approach. Can J CivEng 44(7):504–517

    Google Scholar 

  4. Singh SK, Debnath K, Mazumder BS (2017b) Reply to the discussion by Li and Li on “Turbulence over cube-mounted rough bed using spatiotemporal averaging approach.” Can J CivEng 46(1):69–71

    Google Scholar 

  5. Roussinova V, Balachandar R, Biswas N (2009) Reynolds stress anisotropy in open-channel flow. J HydraulEng 135(10):812–824

    Google Scholar 

  6. Singh SK, Debnath K (2017a) Turbulent flow characteristics in a rectangular channel under the influence of cube-mounted rough bed. ISH J HydraulEng 23:167–176

    Google Scholar 

  7. Walter RK, Nidzieko NJ, Monismith SG (2011) Similarity scaling of turbulence spectra and cospectra in a shallow tidal flow. J Geophys Res Oceans 116(C10019):1–14

    Google Scholar 

  8. Banerjee T, Muste M, Katul G (2015) Flume experiments on wind induced flow in static water bodies in the presence of protruding vegetation. Adv Water Resour 76:11–28

    Google Scholar 

  9. Caroppi G, Gualtieri P, Fontana N, Giugni M (2018) Vegetated channel flows: turbulence anisotropy at flow-rigid canopy interface. Geosciences 8(7):259

    Google Scholar 

  10. de Oliveira GMM, de Moraes Franklin E (2018) Transitions between smooth and rough surfaces in turbulent channel flows for d-and k-type rough elements. J BrazSocMechSciEng 40(4):187

    Google Scholar 

  11. Singh SK, Debnath K, Mazumder BS (2016a) Changes in turbulent flow structure over rough-bed under combined wave-current motions. ISH J HydraulEng 22(3):305–313

    Google Scholar 

  12. Imamura J, Takagi K, Nagaya S (2019) Engineering analysis of turbulent flow measurements near Kuchninoshima Island. J Mar SciTechnol 24(2):329–337

    Google Scholar 

  13. Inagaki A, Kanda M (2010) Organized structure of active turbulence over an array of cubes within the logarithmic layer of atmospheric flow. Bound-Layer Meteorol 135(2):209–228

    Google Scholar 

  14. Singh SK, Khait A, Raushan PK, Debnath K (2020) Localized and distributed energy in wave-current flow. J Offshore MechArctEng 143:011202-1–11211

    Google Scholar 

  15. Nikora VI, Goring DG (1998) Spectral scaling for gravel-bed open-channel flows. In stochastic models of hydrological processes and their application to problems of environmental preservation, Proceedings of the NATO advanced research workshop. Russian academy of science: Moscow, 239–245

  16. Nikora V (2005) Flow turbulence over mobile gravel-bed: spectral scaling and coherent structures. ActaGeophysicaPolonica 53(4):539

    Google Scholar 

  17. Singh SK, Raushan PK, Debnath K (2018a) Combined effect of wave and current in rough bed free surface flow. Ocean Eng 160:20–32

    Google Scholar 

  18. Coscarella F, Servidio S, Ferraro D, Carbone V, Gaudio AR (2017) Turbulent energy dissipation rate in a tilting flume with a highly rough bed. Phys Fluids 29(8):085101

    Google Scholar 

  19. Coleman SE, Nikora VI, Mclean SR, Schlicke E (2007) Spatially averaged turbulent flow over square rib. J EngMech 133(2):194–204

    Google Scholar 

  20. Nikora V, McEwan I, McLean S, Coleman S, Pokrajac D, Walters R (2007) Double-averaging concept for rough-bed open-channel and overland flows: theoretical background. J HydraulEng 133(8):873–883

    Google Scholar 

  21. Cooper JR, Aberle J, Koll K, Tait SJ (2013) Influence of relative submergence on spatial variance and form-induced stress of gravel-bed flows. Water Resour Res 49(9):5765–5777

    Google Scholar 

  22. Singh SK, Debnath K, Mazumder BS (2016b) Spatially-averaged turbulent flow over cubical roughness in wave-current co-existing environment. Coast Eng 114:77–85

    Google Scholar 

  23. Ferraro D, Servido S, Gaudio R (2019) Velocity scales in steady-nonuniform turbulent flows with low relative submergence. Environ Fluid Mech 19:1025–1041

    Google Scholar 

  24. Morovati H, Kai Y (2006) Study of roughness effect on waves and currents combined flow. J Sci (Islamic Azad University) 16(59):24–34

    Google Scholar 

  25. Roussinova V, Balachandar R (2011) Open channel flow past a train of rib roughness. J Turbul 12:28

    Google Scholar 

  26. Raushan PK, Paul A, Singh SK, Debnath K (2020) Spatially-averaged turbulent flow characteristics over ribbed surface in presence of unidirectional wave over steady current. Appl Ocean Res 100:102154

    Google Scholar 

  27. Singh SK, Raushan PK, Debnath K, Mazumder BS (2018) Turbulent oscillatory flow along unidirectional current over square ribs. Can J CivEng 45(4):248–262

    Google Scholar 

  28. Raushan PK, Singh SK, Debnath K (2018) Grid generated turbulence under the rigid boundary influence. J Wind EngIndAerodyn 182:252–261

    Google Scholar 

  29. Singh SK, Debnath K (2017b) Turbulence characteristics of flow under combined wave-current motion. J Offshore MechArctEng 139(2):021102

    Google Scholar 

  30. Singh SK, Raushan PK, Debnath K, Mazumder BS (2019) Effect of surface wave on development of turbulent boundary layer over train of rib roughness. J Offshore MechArctEng 141(6):061101

    Google Scholar 

  31. Perry AE, Schofield WH, Joubert PN (1969) Rough wall turbulent boundary layers. J Fluid Mech 37(2):383–413

    Google Scholar 

  32. Inc SonTek (2001) ADV Principles of operation, technical document. San Diego, Calif

    Google Scholar 

  33. Goring DG, Nikora VI (2002) Despiking acoustic dopplervelocimeter data. J HydraulEng 128(1):117–126

    Google Scholar 

  34. Wahl TL (2000) Analyzing ADV data using WinADV. In building partnerships, 1–10

  35. Singh SK, Debnath K (2016) Combined effects of wave and current in free surface turbulent flow. Ocean Eng 127:170–189

    Google Scholar 

  36. Umeyama M (2005) Reynolds stresses and velocity distributions in a wave-current coexisting environment. J Waterw Port Coast Ocean Eng 131(5):203–212

    Google Scholar 

  37. Mattioli M, Mancinelli A, Brocchini M (2013) Experimental investigation of the wave induced flow around a surface-touching cylinder. J Fluids Struct 37:62–87

    Google Scholar 

  38. Chamorro LP, Guala M, Aandt REA, Sotiropoulos F (2012) On the evolution of turbulent scales in the wake of a wind turbine model. J Turbul 13:27

    Google Scholar 

  39. Agelinchaab M, Tachie MF (2006) Open channel turbulent flow over hemispherical ribs. Int J Heat Fluid Flow 27:1010–1027

    Google Scholar 

  40. Venditti JG, Bauer BO (2005) Turbulent flow over a dune: green river, Colorado. Earth Surf Process Landf J Br Geomorphol Res Group 30:289–304

    Google Scholar 

  41. Singh SK, Raushan PK, Debnath K, Mazumder BS (2020) Higher order turbulent flow characteristics of oscillatory flow over a wall-mounted obstacle. ISH J HydraulEng 26(1):84–95

    Google Scholar 

  42. Shonting DH (1970) Observations of reynolds stresses in wind waves. Pure ApplGeophys 81:202–210

    Google Scholar 

  43. Kirincich AR, Lentz SJ, Gerbi GP (2010) Calculating reynolds stresses from ADCP measurements in the presence of surface gravity waves using the cospectra-fit method. J Atmos Ocean Technol 27(5):889–907

    Google Scholar 

  44. Raushan PK, Singh SK, Debnath K (2019) Grid-generated turbulence in pulsating flow under the rigid boundary influence. Eur J Mech-B/Fluids 78:291–305s

    MathSciNet  MATH  Google Scholar 

  45. Biltoft CA, Pardyjak ER (2009) Spectral coherence and the statistical significance of turbulent flux computations. J Atmos Ocean Technol 26(2):403–409

    Google Scholar 

  46. Medina OD, Schmitt FG, Calif R, Germain G, Gaurier B (2017) Turbulence analysis and multiscale correlations between synchronized flow velocity and marine turbine power production. Renew Energy 112:314–327

    Google Scholar 

  47. Raushan PK, Singh SK, Debnath K, Mukherjee M, Mazumder BS (2018) Distribution of turbulent energy in combined wave current flow. Ocean Eng 167:310–316

    Google Scholar 

  48. Ferreira R, Amatruda M, Ricardo AM, Franca MJ, Di Cristo C (2010) Production and dissipation of turbulent kinetic energy in the roughness layer. In proceedings of the I European IAHR conference, Edinburgh

  49. Mossa M, Meftah MB, De Serio F, Nepf HM (2017) How vegetation in flows modifies the turbulent mixing and spreading of jets. Sci Rep 7(1):1–14

    Google Scholar 

  50. Richardson LF (1922) Weather prediction by numerical process. Cambridge Univ Press, Cambridge

    MATH  Google Scholar 

  51. Venditti JG, Bennett SJ (2000) Spectral analysis of turbulent flow and suspended sediment transport over fixed dunes. J Geophys Res Oceans 105(C9):22035–22047

    Google Scholar 

  52. Tennekes H, Lumley JL (1972) A first course in turbulence. MIT press, Cambridge

    MATH  Google Scholar 

  53. Taylor GI (1935) Statistical theory of turbulence IV-diffusion in a turbulent air stream. Proc R SocLondSer A-Math PhysSci 151:465–478

    Google Scholar 

  54. Singh SK, Debnath K, Mazumder BS (2016c) Turbulence statistics of wave-current flow over a submerged cube. J Waterw Port Coast Ocean Eng 142(3):04015027

    Google Scholar 

  55. Singh SK, Raushan PK, Debnath K (2018b) Turbulent characteristics of pulsating flow over hydraulically smooth surface. Eur J Mech-B/Fluids 68C:10–19

    Google Scholar 

  56. Raushan PK, Singh SK, Debnath K (2020) Role of rigid boundary on the decay of turbulence generated by passive-grid for free surface flow. ProcInstMechEng Part C J MechEngSci. https://doi.org/10.1177/0954406220942565

    Article  Google Scholar 

  57. Bommnayuni S, Stoesser T (2011) Turbulence statistics in an open-channel flow over a rough bed. J HydraulEng 137(11):1347–1358

    Google Scholar 

  58. Lumley LJ (1978) Computational modeling of turbulent flows. In: Yih CH (ed) Advances in applied mechanics. Academic, New York, pp 123–176

    Google Scholar 

  59. Shamloo H, Pirzadeh B (2015) Analysis of roughness density and flow submergence effects on turbulence flow characteristics in open channels using a large eddy simulation. Appl Math Model 39(3–4):1074–1086

    MathSciNet  MATH  Google Scholar 

  60. Cui J, Patel VC, Lin CL (2003) Large-eddy simulation of turbulent flow in a channel with rib roughness. Int J Heat Fluid Flow 24(3):372–388

    Google Scholar 

Download references

Acknowledgements

The authors would like to acknowledge the Science and Engineering Research Board (SERB), Department of Science and Technology, Government of India, for the financial support of this research (Contract No. EMR/2015/000266).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Koustuv Debnath.

Additional information

Technical Editor: Koustuv Debnath.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Paul, A., Raushan, P.K., Singh, S.K. et al. Organized structure of turbulence in wave-current combined flow over rough surface using spatio-temporal averaging approach. J Braz. Soc. Mech. Sci. Eng. 42, 606 (2020). https://doi.org/10.1007/s40430-020-02695-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40430-020-02695-7

Keywords

Navigation