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Validation of double averaged velocity method in a variable width river

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Abstract

Comprehensive preview of flow characteristics and bedforms in rivers is one of the imperative purposes of river restoration projects. This study aimed to assess the application of double averaged technique for estimating the flow velocity and shear velocity in gravel bedforms by field research throughout the Babolroud River in north of Iran. Also, quadrant analysis carried out to investigate the turbulence structure over a pool-riffle bedforms. Based on data collected in a 95 m reach with variable width and using Acoustic Doppler Velocimeter (ADV), a double averaged velocity profile was obtained. This method validation was conducted by logarithmic law and also boundary layer characteristics method for shear velocity estimation within the bedform. The results demonstrate that the double averaged velocity profile was fitted on the logarithmic law in the inner layer and deviated from it in the outer layer, as was expected. On the other hand, the calculated shear velocity by two methods of logarithmic law and boundary layer characteristics was consistent and had small discrepancies, which indicates the double averaged method validity. The results of quadrant analysis illustrated the ejections and sweeps, as a dominant bursting event near the bed and water surface in the pool center, respectively.

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Data availability

The data that support the findings of this study are available from the author [ehsan_shahiri@yahoo.com], upon reasonable request.

References

  • Afzalimehr H (2010) Effect of flow non-uniformity on velocity and turbulence intensities in flow over a cobble-bed. Hydrol Process J 24(3):331–341

    Google Scholar 

  • Afzalimehr H, Anctil F (2000) Accelerating shear velocity in gravel bed channels. J Hydrol Sci 45(1):113–124

    Google Scholar 

  • Afzalimehr H, Barahimi M, Sui J (2019) Non-uniform flow over cobble bed with submerged vegetation strip. Proceedings of the Institution of Civil Engineers. Water Manag 172(2):86–101

    Google Scholar 

  • Afzalimehr H, Maddahi R, Naziri D, Sui J (2019b) Effects of non-submerged boulder on flow characteristics - a field investigation. Int J Sedim Res 34:136–143

    Google Scholar 

  • Afzalimehr H, Maddahi MR, Sui J (2017) Bed form characteristics in a gravel-bed river. Jo Hydrol Hydromechanics 65(4):366–377

    Google Scholar 

  • Afzalimehr H, Rennie CD (2009) Determination of bed shear stress in gravel-bed rivers using boundary-layer parameters. Hydrol Sci J 54(1):147–159

    Google Scholar 

  • Benson MA, Thomas DM (1966) A definition of dominant discharge. Int Assoc Sci Hydrol Bull 11(2):76–80

    Google Scholar 

  • Buckrell E (2017) The formation and adjustment of a pool-riffle sequence in a gravel bed flume (Doctoral dissertation, University of British Columbia)

  • Carlston CW (1965) The relation of free meander geometry to stream discharge and its geomorphic implications. Am J Sci 263(10):864–885

    Google Scholar 

  • Curran JC, Waters KA (2014) The importance of bed sediment sand content for the structure of a static armor layer in a gravel bed river. J Geophys Res Earth Surf 119(7):1484–1497

    Google Scholar 

  • Czech W, Plesiński K, Radecki-Pawlik A, Radecki-Pawlik B (2016) Dominant discharge–an outline of theory and a case study from the Raba river. Acta Sci Pol Form Circum 15(2):41

    Google Scholar 

  • Dashtpeyma H (2019) Turbulence structures in isolated pool-riffle units. UWSpace. http://hdl.handle.net/10012/14438

  • Dey S (2014) Fluvial hydrodynamics. Springer, Berlin, pp 529–562

    Google Scholar 

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

    Google Scholar 

  • Dey S, Sarkar S, Solari L (2011) Near bed turbulence characteristics at the entrainment threshold of sediment beds. J Hudraul Eng 137(9):945–958

    Google Scholar 

  • Elgueta-Astaburuaga MA, Hassan MA (2019) Sediment storage, partial transport, and the evolution of an experimental gravel bed under changing sediment supply regimes. Geomorphology 330:1–12

    Google Scholar 

  • Emadzadeh A, Chiew YM, Afzalimehr H (2010) Effect of accelerating and decelerating flows on incipient motion in sand bed streams. Adv Water Resour 33(9):1094–1104

    Google Scholar 

  • Finnigan JJ, Shaw RH (2008) Double-averaging methodology and its application to turbulent flow in and above vegetation canopies. Acta Geophys 56(3):534–561. https://doi.org/10.2478/s11600-008-0034-x

    Article  Google Scholar 

  • Fazlollahi A, Afzalimehr H (2013) Validation of spatially averaging method for using the law of the wall over concave bed form (pool). J Hydraul 8(2):19–28

    Google Scholar 

  • Fazlollahi A, Afzalimehr H, Sui J (2015a) Impacts of pool and vegetated banks on turbulent flow characteristics. Can J Civil Eng 42(12):979–986

    Google Scholar 

  • Fazlollahi A, Afzalimehr H, Sui J (2015b) Effect of slope angle of an artificial pool on distributions of turbulence. Int J Sed Res 30(2):93–99

    Google Scholar 

  • Fazlollahi A, Afzalimehr H, Rousseau A (2014) Effect of streamwise pool geometry on shear stresses. Int J Hydraul Eng 3(1):1–9

    Google Scholar 

  • Franca MJ, Ferrera RML, Lemmin U (2008) Parameterization of the logarithmic layer of double-averaged streamwise velocity profiles in gravel-bed river flows. Adv in Water Res 31:915–925

    Google Scholar 

  • Franca MJ, Ferrera RML, Cardoso AH, Lemmin U (2010) Double-average methodology applied to turbulent gravel-bed river flows. J River Flow 2010:59–65

    Google Scholar 

  • Fuentes-Aguilera P, Caamaño D, Alcayaga H, Tranmer A (2020) The influence of pool-riffle morphological features on river mixing. Water 12(4):1145

    Google Scholar 

  • Graf WH, Altinakar M (1998) Hydraulics of sediment transport. Book Crafters Inc., USA

    Google Scholar 

  • Gaudio R, Miglio A, Calomino F (2011) Friction factor and von Kármán’s κ in open channels with bed-load. J Hydraul Res 49(2):239–247

    Google Scholar 

  • Haddadchi A, Movahedi N, Vahidi E, Omid MH, Dehghani AA (2013) Evaluation of suspended load transport rate using transport formulas and artificial neural network models (Case study: Chelchay Catchment). J Hydrodyn, Ser. B 25(3):459–470

    Google Scholar 

  • Hassan MA, Radić V, Buckrell E, Chartrand SM, McDowell C (2021) Pool‐riffle adjustment due to changes in flow and sediment supply. Water Resour Res 57(2):e2020WR028048

  • Hassan MA, Tonina D, Beckie RD, Kinnear M (2015) The effects of discharge and slope on hyporheic flow in step-pool morphologies. Hydrol Process 29(3):419–433

    Google Scholar 

  • Head MR, Bandyopadhyay P (1981) New aspects of turbulent boundary-layer structure. J Fluid Mech 107:297–338

    Google Scholar 

  • Hey RD, Thorne CR (1986) Stable channels with mobile gravel beds. J Hydraul Eng 112(8):671–689

    Google Scholar 

  • Hinze JO (1975) Turbulence, 2nd edn. McGraw-Hill, New York, USA

    Google Scholar 

  • Kabiri F, Afzalimehr H, Sui J (2017) Flow structure over a wavy bed with vegetation cover. Int J Sediment Res 32(2):186–194

    Google Scholar 

  • 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 

  • Leopold LB, Wolman MG, Miller JP (1964) Fluvial processes in geomorphology. W.H. Freeman, San Francisco

    Google Scholar 

  • Lu SS, Willmarth WW (1973) Measurements of the structure of the Reynolds stress in a turbulent boundary layer. J Fluid Mech 60(03):481–511

    Google Scholar 

  • MacVicar BJ, Roy AG (2011) Sediment mobility in a forced riffle-pool. Geomorphology 125:445–456

    Google Scholar 

  • Maddahi MR, Afzalimehr H, Rowinski PM (2016) Flow Characteristics over a gravel bedform: Kaj River case study. Acta Geophys 64(5):1779–1796

    Google Scholar 

  • Maity H, Mazumder BS (2013) Conditional statistics of Reynolds shear stress over obstacle marks. ISH J Hydraul Eng 19(3):305–315

    Google Scholar 

  • Najafabadi FE, Afzalimehr H (2020) Comparison of two and three-dimensional flow and habitat modeling in pool-riffle sequences. Iran J Sci Technol Trans Civil Eng 44(3):991–1000

  • Najafabadi FE, Afzalimehr H, Rowiński PM (2018) Flow structure through a fluvial pool-riffle sequence – case study. J Hydro Environ Res 19:1–15

  • Najafabadi FE, Afzalimehr H, Sui J (2017) A comparison of two-dimensional and three-dimensional flow structures over artificial pool-riffle sequences. Can J Civ Eng 44(12):1084–1098

  • Nezu I, Nakagawa H, Jirka GH (1994) Turbulence in open-channel flows. J Hydraul Eng 120(10):1235–1237

  • Nikora VI, Goring DG (2000) Flow turbulence over fixed and weakly mobile gravel beds. J Hydraul Eng 126(9):679–690

    Google Scholar 

  • Nikora VI, Goring DG, McEwan IK, Griffiths G (2001) Spatially averaged open-channel flow over rough bed. J Hydraulic Eng 127(2):123–133

    Google Scholar 

  • Parvizi P, Afzalimehr H, Singh VP (2021) Impact of pool and vegetated bottom on turbulant flow structure. Int J Hydraul Eng 10(1):8–18

    Google Scholar 

  • Sear DA (1996) Sediment transport processes in pool-riffle sequences. Earth Surf Proc Land 21:241–262

    Google Scholar 

  • Shahmohammadi R, Afzalimehr H, Sui J (2018) Interaction of turbulence and vegetation patch on the incipient motion of sediment. Can J Civ Eng 45(9):803–816

    Google Scholar 

  • Shahmohammadi R, Afzalimehr H, Sui J (2021) Assessment of critical shear stress and threshold velocity in shallow flow with sand particles. Water 13(994):1–18

    Google Scholar 

  • Smith JD, McLean SR (1977) Spatially averaged flow over a wavy surface. J Geophys Res 83(12):1735–1746

    Google Scholar 

  • Song T, Chiew YM (2001) Turbulence measurement in nonuniform open-channel flow using acoustic Doppler velocimeter (ADV). J Eng Mech 127(3):219–232

    Google Scholar 

  • Stoesser T, Kara S, MacVicar B, Best JL (2010) Turbulent Flow over a mildly sloped pool-riffle sequence,” in Proceedings of the IAHR River Flow 2010 Conference, Bundesanstalt fuer Wasserbau, 409–417

  • Tang C, Li Y, Acharya K, Du W, Gao X, Luo L, Yu Z (2019) Impact of intermittent turbulent bursts on sediment resuspension and internal nutrient release in Lake Taihu, China. Environ Sci Pollut Res 26(16):16519–16528

    Google Scholar 

  • Tokyay T, Sinha S (2020) Channel width, bedform length and turbulence: numerical investigation of flow dynamics over laboratory-scale pool–riffle sequences. Environ Fluid Mech 20(4):819–842

    Google Scholar 

  • Wang XK, Ye C, Wang BJ, Yan XF (2015) Experimental study on velocity profiles with different roughness elements in a flume. Acta Geophys 63(6):1685–1705

    Google Scholar 

  • White FM (2006) Viscous fluid flow. McGraw-Hill, New York, USA

    Google Scholar 

  • Wolman MG (1954) A method of sampling coarse river-bed material. Trans Amer Geophys Union 35(6):951–956

    Google Scholar 

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Authors and Affiliations

  1. Department of Civil Engineering, Iran University of Science and Technology, Tehran, Iran

    Ehsan Shahiri Tabarestani & Hossein Afzalimehr

  2. Institute of Applied Technology, Thu Dau Mot University, Binh Duong Province, Vietnam

    Quoc Bao Pham

Authors
  1. Ehsan Shahiri Tabarestani
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  2. Hossein Afzalimehr
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  3. Quoc Bao Pham
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Contributions

Ehsan Shahiri Tabarestani: Conceptualization, Writing- original draft, Software, Formal analysis, Visualization. Hossein Afzalimehr: Data curation, Formal analysis; Writing original draft, Visualization. Quoc Bao Pham: Supervision, Writing, Review, Editing.

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Correspondence to Quoc Bao Pham.

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This manuscript has not been published elsewhere and is not under consideration by another journal. There are no conflicts of interest to declare.

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Communicated by H. Babaie.

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Shahiri Tabarestani, E., Afzalimehr, H. & Pham, Q.B. Validation of double averaged velocity method in a variable width river. Earth Sci Inform 14, 2265–2278 (2021). https://doi.org/10.1007/s12145-021-00692-5

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