Abstract
Boulder spacing in mountain rivers and near-wake flow zones within the boulder array is very useful for fish habitat and growth of aquatic organisms. The present study aims to investigate how the boulder array and spacing influence the near-bed flow structures in a gravel-bed stream. Boulders are staggered over a gravel-bed stream with three different inter-boulder spacing namely (a) large (b) medium and (c) small spacing. An acoustic Doppler velocimeter was used for flow measurements in a rectangular channel and the results were compared with those acquired from numerical simulation. The time-averaged velocity profiles at the near-wake flow zones of boulders experience maximum flow retardation which is an outcome of the boulder-induced form roughness. The ratio of velocity differences associated to form and skin roughness and its positive magnitude reveals the dominance of form roughness closest to the boulders. Form roughness computed is 1.75 to 2 times higher than the skin roughness at the near-wake flow region. In particular, the collective immobile boulders placed at different inter-boulder spacings developed high and low bed shear stresses closest to the boulders. The low bed shear stresses characterised by a secondary peak developed at the trough location of the boulders is attributed to the skin shear stress. Further, the spatial averaging of time-averaged flow quantities gives additional impetus to present an improved illustration of fluid shear stresses. The formation of form-induced shear stress is estimated to be 17% to 23% of double-averaged Reynolds shear stress and partially compensates for the dam** of time-averaged Reynolds shear stress in the interfacial sub-layer. The quadrant analysis of spatial velocity fluctuations depicts that the form-induced shear stresses are dominant in the interfacial sub-layer and have no significance above the gravel-bed surface.
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Data availability: The datasets obtained during the experimental investigation are available upon reasonable request from the relevant author.
References
Aadland LP (1993) Stream habitat types: their fish assemblages and relationship to flow. N. Am. Fish Manage 13: 790–806. https://doi.org/10.1577/1548-8675(1993)013<0790:SHTTFA>2.3.CO;2
Aberle J, Koll K, Dittrich A (2008) Form induced stresses over rough gravel-beds. Acta Geophys 56(3): 584–600. https://doi.org/10.2478/s11600-008-0018-x
Brooks AJ, Haeusler T, Reinfelds I, et al. (2005) Hydraulic microhabitats and the distribution of macro invertebrate assemblages in riffles. Freshw Biol 50(2): 331–344. https://doi.org/10.1111/j.1365-2427.2004.01322.x
Biggs BJ, Duncan MJ, Francoeur SN, et al. (1997) Physical characterisation of microform bed cluster refugia in 12 headwater streams, New Zealand. N Z J Mar Freshwater Res 31(4): 413–422. https://doi.org/10.1080/00288330.1997.9516775
Canovaro F, Paris E, Solari L (2007) Effects of macro-scale bed roughness geometry on flow resistance. Water Resour Res 43(10). https://doi.org/10.1029/2006wr005727
Cao H, Ye C, Yan, XF, et al. (2020) Experimental investigation of turbulent flows through a boulder array placed on a permeable bed. Water Supply 20(4): 1281–1293. https://doi.org/10.2166/ws.2020.046
Crowder DW, Diplas P (2002) Vorticity and circulation: spatial metrics for evaluating flow complexity in stream habitats. Can J Fish Aquat Sci 59(4): 633–645. https://doi.org/10.1139/f02-037
Crowder DW, Diplas P (2005) Applying spatial hydraulic principles to quantify stream habitat. River Res Appl 22(1): 79–89. https://doi.org/10.1002/rra.893
Davey AJH, Booker DJ, Kelly DJ (2011) Diel variation in stream fish habitat suitability criteria: implications for instream flow assessment. Aquat Conserv: Mar Freshw 21(2): 132–145. https://doi.org/10.1002/aqc.1166
Dey S, Das R (2012) Gravel-bed hydrodynamics: Double-averaging approach, J Hydraul Eng 138(8): 707–725. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000554
Dey S, Raikar RV (2007) Characteristics of loose rough boundary streams at near threshold. J Hydraul Eng 133(3): 288–304. https://doi.org/10.1061/(ASCE)0733-9429(2007)133:3(288)
Dey S, Sarkar S, Bose SK, et al. (2011) Wall-wake flows downstream of a sphere placed on a plane rough wall. J Hydraul Eng 137(10): 1173–1189. https://doi.org/10.1061/(asce)hy.1943-7900.0000441
Everest FH, Chapman DW (1972) Habitat selection and spatial interaction by juvenile Chinook Salmon and steelhead trout in two Idaho streams. J Fish Res Board Can 29(1): 91–100. https://doi.org/10.1139/f72-012
Fang H, Han Xu, Guojian HG, et al. (2018) Influence of permeable beds on hydraulically macro-rough flow. J Fluid Mech 847: 552–590. https://doi.org/10.1017/jfm.2018.314
Fang H, Liu Y, Stoesser T (2017) Influence of boulder concentration on turbulence and sediment transport in open-channel flow over submerged boulders. J Geophys Res Earth Surf 122(12): 2392–2410. https://doi.org/10.1002/2017jf004221
Ferreira EAC, Dimakopoulos AS, Ferreira RML (2011) CFD Modeling of rough-bed open channel flows. Congress of Numerical Methods in Engineering, Coimbra, Portugal.
Ferro V (2003) ADV measurements of velocity distributions in a gravel-bed flume. Earth Surf Process Land 28(7): 707–722. https://doi.org/10.1002/esp.467
Fischenich C, Seal R (2000) Boulder Clusters. EMRRP Technical Notes Collection (ERDC TN-EMRRP-Sr-11) U.S. Army Engineer Research and Development Center, Vicksburg, MS, www.wes.army.mil/el/emrrp.
Ghanem A, Steffler P, Hicks F, et al. (1996) Two-dimensional hydraulic simulation of physical habitat conditions in flowing streams. Regul River Res Manage 12(2–3): 185–200. https://doi.org/10.1002/(SICI)1099-1646(199603)12:2/33.0.CO:2-4
Hajimirzaie SM, Tsakiris AG, Buchholz JH, et al. (2014) Flow characteristics around a wall-mounted spherical obstacle in a thin boundary layer. Exp Fluids 55(6). https://doi.org/10.1007/s00348-014-1762-0
Hayes JW, Jowett IG (1994) Microhabitat models of large drift-feeding brown trout in three New Zealand rivers. N Am J Fish Manag 14(4): 710–725. https://doi.org/10.1577/15488675(1994)014
Heggenes J, Saltveit J, Lingaas O (1996) Predicting fish habitat use to changes in water flow: modelling critical minimum flows for Atlantic salmon, Salmosalar, and brown trout. S. trutta. Regul. River 2: 331–344. https://doi.org/10.1002/(SICI)1099-1646(199603)12:2/3,331::AID-RRR399.3.0.CO;2-E)24
Hinch SG, Rand PS (2000) Optimal swimming speeds and forward-assisted propulsion: Energy-conserving behaviours of upriver-migrating adult salmon. Can J Fish Aquat Sci 57: 2470–2478. https://doi.org/10.1139/cjfas-57-12-2470
Hockley FA, Wilson C, Brew A, et al. (2014) Fish responses to flow velocity and turbulence in relation to size, sex and parasite load. J R Soc Interface 11(91): 20130814–20130814. https://doi.org/10.1098/rsif.2013.0814
Lacey RWJ, Roy AG (2008) Fine-scale characterization of the turbulent shear layer of an instream pebble cluster. J Hydraul Eng 134(7): 925–936. https://doi.org/10.1061/(asce)07339429(2008)134:7(925)
Lamb MP, Dietrich WE, Venditti JG (2008) Is the critical Shields stress for incipient sediment motion dependent on channel-bed slope? J Geophys Res 113(F2). https://doi.org/10.1029/2007jf000831
Liao JC (2007) A review of fish swimming mechanics and behaviour in altered flows. Phil Trans R Soc B 362(1487): 1973–1993. https://doi.org/10.1098/rstb.2007.2082
Lupandin AI (2005) Effect of flow turbulence on swimming speed of fish. Biology Bulletin 32(5): 461–466. https://doi.org/10.1007/s10525-005-0125-z
Mignot E, Barthelemy E, Hurther D (2009) Double-averaging analysis and local flow characterization of near-bed turbulence in gravel-bed channel flow. J Fluid Mech 618: 279–303. https://doi.org/10.1017/S0022112008004643
Nicoletto PF (1991) The relationship between male ornamentation and swimming performance in the guppy, Poeciliareticulata Behav Ecol Sociobiol 28: 365–370. https://doi.org/10.1007/bf00164386
Nikora V, Aberle J, Biggs BJF, et al. (2003) Effects of fish size, time-to-fatigue and turbulence on swimming performance: a case study of Galaxias maculatus. J Fish Biol 63(6): 1365–1382. https://doi.org/10.1111/j.1095-8649.2003.00241.x
Nikora V, Goring D, McEwan I, et al. (2001) Spatially averaged open-channel flow over rough bed. J Hydraul Eng 127(2): 123–133. https://doi.org/10.1061/(asce)0733-9429(2001)127:2(123)
Nikora V, Koll K, McEwan I, et al. (2004) Velocity distribution in the roughness layer of rough-bed flows. J Hydraul Eng 130(10): 1036–1042. https://doi.org/10.1061/(ASCE)0733-9429(2004)130:10(1036)
Nikora V, McEwan I, McLean S, et al. (2007) Double-averaging concept for rough-bed open-channel and overland flows: Theoretical background. J Hydraul Eng 133(8): 873–883. https://doi.org/10.1061/(asce)0733-9429(2007)133:8(873)
Padhi E, Dey S, Penna N, et al. (2020) Conditional turbulence characteristics in water-worked and screeded gravel-bed flows. J Hydraul Eng 146(2): 04019052. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001665
Papanicolaou AN, Diplas P, Dancey CL, et al. (2001) Surface roughness effects in near-bed turbulence: implications to sediment entrainment. J Eng Mech 127(3): 211–218. https://doi.org/10.1061/(asce)0733-9399(2001)127:3(211)
Papanicolaou AN, Kramer CM, Tsakiris AG, et al. (2012) Effects of a fully submerged boulder within a boulder array on the mean and turbulent flow fields: Implications to bedload transport. Acta Geophys 60(6): 1502–1546. https://doi.org/10.2478/s11600-012-0044-6
Pope SB (2001) Turbulent Flows. Cambridge University Press, U.K.
Recking A (2009) Theoretical development on the effects of changing flow hydraulics on incipient bed load motion. Water Resour Res 45(4). https://doi.org/10.1029/2008wr00682
Rempel LL, Richardson JS, Healey MC (1999) Flow refugia for benthic macroinvertebrates during flooding of a large river. J North Am Benthol Soc 18(1): 34–48. https://doi.org/10.2307/1468007
Sarkar S, Dey S (2010) Double-averaging turbulence characteristics in flows over a gravel-bed. J Hydraul Res 48(6): 801–809. https://doi.org/10.1080/00221686.2011.604240
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. https://doi.org/10.1061/(asce)hy.1943-7900.0001191
Silva AT, Santos JM, Ferreira MT, et al. (2011) Effects of water velocity and turbulence on the behaviour of Iberian barbel in an experimental pool-type fishway. River Res Appl 27(3): 360–373. https://doi.org/10.1002/rra1363
Strom KB, Papanicolaou AN (2007) ADV measurements around a cluster microform in a shallow mountain stream. J Hydraul Eng 133(12): 1379–1389. https://doi.org/10.1061/(asce)0733-9429(2007)133:12(1379)
Tsakiris AG, Papanicolaou AT, Hajimirzaie SM, et al. (2014) Influence of collective boulder array on the surrounding time-averaged and turbulent flow fields. J Mt Sci 11(6): 1420–1428. https://doi.org/10.1007/s11629-014-3055-8
Tsutsui T (2008) Flow around a sphere in a plane turbulent boundary layer. J Wind Eng Ind Aerodyn 96(6–7): 779–792. https://doi.org/10.1016/j.jweia.2007.06.031
Xu Z, Zhang C, Qiang Y, et al. (2020) Hydrodynamics and bed morphological characteristics around a boulder in a gravel stream. Water Supply 20(2): 395–407. https://doi.org/10.2166/ws.2019.175
Acknowledgments
The experimental study was carried out in the Water Resource Engineering Laboratory at National Institute of Technology Agartala, India. Thanks Mr. Sankar Paul, laboratory assistant for his support and assistance.
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All authors contributed to the study conception and design. The problem design, analysis of data and first draft of the manuscript was written by [RATUL DAS]. Material preparation, data collection were performed by [AKASH DATTA]. Both the authors read and approved the final manuscript.
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Das, R., Datta, A. Boulder-induced form roughness and skin shear stresses in a gravel-bed stream. J. Mt. Sci. 21, 346–360 (2024). https://doi.org/10.1007/s11629-023-8296-y
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DOI: https://doi.org/10.1007/s11629-023-8296-y