O. Forterre and . Pouliquen, Stability analysis of rapid granular chute flows: formation of longitudinal vortices, Journal of Fluid Mechanics, vol.467, pp.361-387, 2002.
DOI : 10.1017/S0022112002001581

URL : https://hal.archives-ouvertes.fr/hal-01432215

S. Pabiou, C. Mergui, and . Benard, Wavy secondary instability of longitudinal rolls in RayleighPoiseuille flows, Journal of Fluid Mechanics, vol.542, issue.-1, pp.175-194, 2005.
DOI : 10.1017/S0022112005006154

. Jeffreys, On the transverse circulation in streams, Mathematical Proceedings of the Cambridge Philosophical Society, pp.20-25, 1929.
DOI : 10.1017/S0305004100018508

Y. Znaien, F. Hallez, J. Moisy, J. P. Magnaudet, D. Hulin et al., Experimental and numerical investigations of flow structure and momentum transport in a turbulent buoyancy-driven flow inside a tilted tube, Physics of Fluids, vol.21, issue.11, pp.115102-115102, 2009.
DOI : 10.1063/1.3259972

J. Hallez and . Magnaudet, Turbulence-induced secondary motion in a buoyancy-driven flow in a circular pipe, Physics of Fluids, vol.21, issue.8, p.81704, 2009.
DOI : 10.1063/1.3213246

M. Rodriguez and . Garcia, Laboratory measurements of 3-D flow patterns and turbulence in straight open channel with rough bed, Journal of Hydraulic Research, vol.38, issue.4, pp.454-465, 2008.
DOI : 10.1080/00221688909499249

A. Blanckaert, A. J. Duarte, and . Schleiss, Influence of shallowness, bank inclination and bank roughness on the variability of flow patterns and boundary shear stress due to secondary currents in straight open-channels, Advances in Water Resources, vol.33, issue.9, 2010.
DOI : 10.1016/j.advwatres.2010.06.012

U. Albayrak and . Lemmin, Secondary Currents and Corresponding Surface Velocity Patterns in a Turbulent Open-Channel Flow over a Rough Bed, Journal of Hydraulic Engineering, vol.137, issue.11, pp.1318-1334, 2011.
DOI : 10.1061/(ASCE)HY.1943-7900.0000438

D. Shiono and . Knight, Turbulent open-channel flows with variable depth across the channel, Journal of Fluid Mechanics, vol.112, issue.-1, pp.617-646, 1991.
DOI : 10.1017/S0022112088000473

. Prandtl, Essentials of fluid dynamics: With applications to hydraulics aeronautics, meteorology, and other subjects, Blackie & SON, 1952.

E. Brundrett and W. Baines, The production and diffusion of vorticity in duct flow, Journal of Fluid Mechanics, vol.89, issue.03, pp.375-394, 1963.
DOI : 10.1017/S0022112064000799

H. Einstein and . Li, Secondary currents in straight channels, Transactions, American Geophysical Union, vol.1, issue.6, pp.1085-1088, 1958.
DOI : 10.1029/TR039i006p01085

. Gessner, The origin of secondary flow in turbulent flow along a corner, Journal of Fluid Mechanics, vol.269, issue.01, pp.1-25, 1973.
DOI : 10.1063/1.2163679

. Demuren, Calculation of turbulence-driven secondary motion in ducts with arbitrary cross section, AIAA Journal, vol.29, issue.4, pp.531-537, 1991.
DOI : 10.2514/3.10616

S. Husser and . Biringen, Direct numerical simulation of turbulent flow in a square duct, Journal of Fluid Mechanics, vol.194, issue.-1, pp.65-95, 1993.
DOI : 10.1007/BF02079937

F. Metivier and L. Barrier, Alluvial landscape evolution: what do we know about metamorphosis of gravel bed meandering and braided streams, " in Gravel-bed Rivers: processes, tools, environments, pp.474-501

. Ikeda, Self-formed straight channels in sandy beds, Journal of the Hydraulics Division, vol.107, 1981.

G. Colombini and . Parker, Longitudinal streaks, Journal of Fluid Mechanics, vol.21, issue.-1, pp.161-184, 1995.
DOI : 10.1016/0025-3227(81)90158-4

. Vanoni, Experiments on the transportation of suspended sediments by water, California Institut of Technology, 1940.

. Gargett, Observing Turbulence with a Modified Acoustic Doppler Current Profiler, Journal of Atmospheric and Oceanic Technology, vol.11, issue.6, p.1592, 1994.
DOI : 10.1175/1520-0426(1994)011<1592:OTWAMA>2.0.CO;2

. Gordon, Principles of operation a practical primer, Tech. Rep. (RD Instruments, 1996.

S. Stacey, J. Monismith, and . Burau, Measurements of Reynolds stress profiles in unstratified tidal flow, Journal of Geophysical Research: Oceans, vol.52, issue.14, pp.10933-10943, 1999.
DOI : 10.1029/1998JC900095

C. Nystrom, K. Rehmann, and . Oberg, Evaluation of Mean Velocity and Turbulence Measurements with ADCPs, Journal of Hydraulic Engineering, vol.133, issue.12, p.1310, 2007.
DOI : 10.1061/(ASCE)0733-9429(2007)133:12(1310)

. Gibson, On the Depression of the Filament of Maximum Velocity in a Stream Flowing through an Open Channel, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.82, issue.553, pp.149-159, 1909.
DOI : 10.1098/rspa.1909.0016

A. Lyn, Sedimentation Engineering: Processes, Measurements, Modeling, and Practice, pp.763-826, 2008.

J. Hervouet, Hydrodynamics of Free Surface Flows: Modelling with the finite element method, 2007.
DOI : 10.1002/9780470319628

I. Nezu and W. Rodi, Open???channel Flow Measurements with a Laser Doppler Anemometer, Journal of Hydraulic Engineering, vol.112, issue.5, pp.335-355, 1986.
DOI : 10.1061/(ASCE)0733-9429(1986)112:5(335)

H. García, Sedimentation engineering: processes, measurements, modeling, and practice, pp.24-34, 2008.
DOI : 10.1061/9780784408148

H. Audoly, Y. Berestycki, and . Pomeau, Réaction diffusion enécoulementenécoulement stationnaire rapide, Comptes Rendus de l'Academie des Sciences Series IIB Mechanics Physics Astronomy, pp.255-262, 2000.

. Chezy, Formule pour trouver la vitesse de l'eau conduite dans une rigole donnée, Annales des Ponts et Chaussées, pp.165-269, 1776.

E. Bouchez, J. Lajeunesse, C. Gaillardet, P. France-lanord, L. Dutra-maia et al., Turbulent mixing in the Amazon River: The isotopic memory of confluences, Earth and Planetary Science Letters, vol.290, issue.1-2, pp.37-43, 2010.
DOI : 10.1016/j.epsl.2009.11.054

URL : https://hal.archives-ouvertes.fr/hal-00537876

P. A. Wanmin and . Taylor, Turbulent boundary-layer flow over fixed aerodynamically rough two-dimensional sinusoidal waves, J. Fluid Mech, vol.312, pp.1-31, 1996.

. Aihara, Formation of longitudinal vortices in the sublayer due to boundary-layer turbulence, Journal of Fluid Mechanics, vol.223, issue.-1, pp.111-129, 1990.
DOI : 10.1017/S0022112078002608

. Langmuir, SURFACE MOTION OF WATER INDUCED BY WIND, Science, vol.87, issue.2250, pp.119-123, 1938.
DOI : 10.1126/science.87.2250.119

O. Forterre and . Pouliquen, Longitudinal Vortices in Granular Flows, Physical Review Letters, vol.86, issue.26, pp.5886-5889, 2001.
DOI : 10.1103/PhysRevLett.86.5886

URL : https://hal.archives-ouvertes.fr/hal-01432240