[
Balachandar, R., Blakely, D., Tachie, M., Putz, G., 2001. A study on turbulent boundary layers on a smooth flat plate in an open channel. J. Fluid Eng.-T ASME, 123, 394–400.10.1115/1.1366321
]Search in Google Scholar
[
Balachandar, R., Bhuiyan, F., 2007. Higher-order moments of velocity fluctuations in an open channel flow with large bottom roughness. J. Hydraul. Eng., 133, 77-87.10.1061/(ASCE)0733-9429(2007)133:1(77)
]Search in Google Scholar
[
Best, J., Bennett, S., Bridge, J., Leeder, M., 1997. Turbulence modulation and particle velocities over flat sand beds at low transport rates. J. Hydraul. Eng., 123, 1118–1129.10.1061/(ASCE)0733-9429(1997)123:12(1118)
]Search in Google Scholar
[
Calomino, F., Gaudio, R., Miglio, A. 2004. Effect of bed-load concentration on friction factor in narrow channels. In: Proc. of the Second Int. Conf. on Fluvial Hydraulics, River Flow 2004, Taylor and Francis, London, U.K., (1), pp. 279–285.
]Search in Google Scholar
[
Carbonneau, P.E., Bergeron, N.E., 2000. The effect of bedload transport on mean and turbulent flow properties. Geomorph., 35, 3–4, 267–278.10.1016/S0169-555X(00)00046-5
]Search in Google Scholar
[
Detert, M., Weitbrecht, V., Jinka, G.H., 2010. Laboratory measurements on turbulent pressure fluctuations in and above gravel beds. J. Hydraul. Eng., 136, 779–789.10.1061/(ASCE)HY.1943-7900.0000251
]Search in Google Scholar
[
Dey, S., Raikar, R.V., 2007. Characteristics of loose rough boundary streams at near-threshold. J. Hydraul. Eng., 133, 288–304.10.1061/(ASCE)0733-9429(2007)133:3(288)
]Search in Google Scholar
[
Dey, S., Das, R., Gaudio, R., Bose, S.K., 2012. Turbulence in Mobile-Bed Streams. Acta Geophysica (Institute of Geophysics, Polish Academy of Sciences), 60, 1547–1588.10.2478/s11600-012-0055-3
]Search in Google Scholar
[
Ferreira, R.M.L., Franca, M.J., Leal, J.G.A.B., Cardoso, A.H., 2012. Flow over rough mobile beds: Friction factor and vertical distribution of the longitudinal mean velocity. Water Resour. Res., 48, W05529. DOI: 10.1029/2011WR01112610.1029/2011WR011126
]Search in Google Scholar
[
Gaudio, R., Miglio, A., Dey, S., 2010. Non universality of von Kármán’s κ in fluvial streams. J. Hydraul. Res., 48, 658–663.10.1080/00221686.2010.507338
]Search in 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, 239–247.10.1080/00221686.2011.561001
]Search in Google Scholar
[
Goring, D.G., Nikora, V.I., 2002. Despiking acoustic Doppler velocimeter data. J. Hydraul. Eng., 128,117–126.10.1061/(ASCE)0733-9429(2002)128:1(117)
]Search in Google Scholar
[
Grass, A.J., 1970. Initial instability of fine bed sand. J. Hydraul. Div., 96, 619–632.10.1061/JYCEAJ.0002369
]Search in Google Scholar
[
Guo, J., 1998. Turbulent velocity profiles in clear water and sediment-laden flows, PhD Thesis. Colorado State University, Fort Collins, CO.
]Search in Google Scholar
[
Gust, G., Southard, J.B., 1983. Effects of weak bed load on the universal law of the wall. J. Geophys. Res., 88, 5939–5952.10.1029/JC088iC10p05939
]Search in Google Scholar
[
Kaji, A.M.H., 2013. Turbulent Structure in Open Channel Flow. Electronic Theses and Dissertations. 4887. https://scholar.uwindsor.ca/etd
]Search in Google Scholar
[
Kirkgoz, M.S., Ardiclioglu, M., 1997. Velocity profiles of developing and developed open channel flow. J Hydraul. Eng. 123, 1099–1105. https://doi.org/10.1061/(ASCE)07339429(1997)123:12(1099).
]Search in Google Scholar
[
Kironoto, B., Graf, W.H., 1994. Turbulence characteristics in rough uniform open-channel flow. Proc. Inst. Civ. Eng. Water, Maritime and Energy, 106, 333–344. https://doi.org/10.1680/iwtme.1994.27234.10.1680/iwtme.1994.27234
]Search in Google Scholar
[
Malakar, P., Datta, A., Das, R., 2020. Influence of weak bed-load transport on mean flow characteristics over immobile smooth bed surface under dynamic equilibrium flow conditions. Water Res. Mangm., 34, 4959–4973. https://doi.org/10.1007/s11269-020-02702-510.1007/s11269-020-02702-5
]Search in Google Scholar
[
Mignot, E., Barthelemy, E., Hurther, D., 2009. Double-averaging analysis and local flow characterization of near-bed turbulence in gravel-bed channel flows. J. Fluid Mech., 618, 279–303.10.1017/S0022112008004643
]Search in Google Scholar
[
Miguntanna, N.S., Moses, H., Sivakumar, M., Yang, S.-Q., Enever, K.J., Riaz, M.Z.B., 2020. Re-examining log law velocity profile in smooth open channel flows. Env. Fluid Mech., 20, 953–986. https://doi.org/10.1007/s10652-019-09733-610.1007/s10652-019-09733-6
]Search in Google Scholar
[
Monin, A.S., Yaglom, A.M., 2007. Statistical Fluid Mechanics. Vol. II: Mechanics of Turbulence. Dover Publications, New York, USA.
]Search in Google Scholar
[
Nezu, I., Nakagawa, H., 1993. Turbulence in Open-Channel Flows. Balkema, Rotterdam, The Netherlands.
]Search in Google Scholar
[
Nikora, V.I., Goring, D., 2000. Flow turbulence over fixed and weakly mobile gravel beds. J. Hydraul. Eng., 126, 679–690.10.1061/(ASCE)0733-9429(2000)126:9(679)
]Search in Google Scholar
[
Nikora, V., Koll, K., McLean, S., Dittrich, A., Aberle, J., 2002. Zero-plane displacement for rough-bed open-channel flows. In: Proc. Int. Conf. on Fluvial Hydraulics, River Flow 2002, Louvain-la-Neuve, Belgium, pp. 83–92.
]Search in Google Scholar
[
Owen, P.R., 1964. Saltation of uniform grains in air. J. Fluid Mech., 20, 225–242.10.1017/S0022112064001173
]Search in Google Scholar
[
Raupach, M.R., Shaw, R.H., 1982. Averaging procedures for flow within vegetation canopies. Boundary-Layer Meteorol., 22, 79–90.10.1007/BF00128057
]Search in Google Scholar
[
Schlichting, H., Gersten, K., 1979. Boundary-Layer Theory. Springer, Berlin/Heidelberg, Germany.
]Search in Google Scholar
[
Smith, J.D., McLean, S.R., 1977. Spatially averaged flow over a wavy surface. J. Geophys. Res.: Oceans, 82, 12, 1735–1746.10.1029/JC082i012p01735
]Search in Google Scholar
[
Song, T., Graf, W.H., Lemmin, U., 1994. Uniform flow in open channels with movable gravel bed. J. Hydraul. Res., 32, 861–876.10.1080/00221689409498695
]Search in Google Scholar
[
Song, T., Chiew, Y.M., Chin, C.O., 1998. Effect of bed-load movement on flow friction factor. J. Hydraul. Eng., 124, 165–175.10.1061/(ASCE)0733-9429(1998)124:2(165)
]Search in Google Scholar
[
Van Rijn, L.C., 1984. Sediment transport, part I: bed-load transport. J. Hydraul. Eng., 110, 1431–1456.10.1061/(ASCE)0733-9429(1984)110:10(1431)
]Search in Google Scholar
[
Wang, Z., Larsen, P., 1994. Turbulent structure of water and clay suspensions with bed load. J. Hydraul. Eng., 120, 5, 577–600.10.1061/(ASCE)0733-9429(1994)120:5(577)
]Search in Google Scholar
[
Yang, S.Q., 2010. Depth-averaged shear stress and velocity in open-channel flows. J. Hydraul. Eng. ASCE., 136, 11. https://doi.org/10.1061/(asce)hy.1943-7900.0000271.10.1061/(ASCE)HY.1943-7900.0000271
]Search in Google Scholar
[
Yeganeh-Bakhtiary, A., Shabani, B., Gotoh, H., Wang, S.S.Y., 2009. A three-dimensional distinct element model for bed-load transport. J. Hydraul. Res., 47, 203–212.10.3826/jhr.2009.3168
]Search in Google Scholar
