R. A. Bagnold, The Flow of Cohesionless Grains in Fluids, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.249, issue.964, pp.235-297, 1956.
DOI : 10.1098/rsta.1956.0020

C. Cassar, M. Nicolas, and O. Pouliquen, Submarine granular flows down inclined planes, Physics of Fluids, vol.17, issue.10
DOI : 10.1063/1.2069864

J. Chauchat and M. Médale, A three-dimensional numerical model for incompressible two-phase flow of a granular bed submitted to a laminar shearing flow, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.9-12, pp.439-449, 2010.
DOI : 10.1016/j.cma.2009.07.007
URL : https://hal.archives-ouvertes.fr/hal-00619372

J. Chauchat, M. Ouriemi, P. Aussillous, M. Médale, and É. Guazzelli, A 3d two-phase numerical model for sediment transport, 7 th International Conference on Multiphase Flow, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00621121

A. Einstein, Eine neue Bestimmung der Molek??ldimensionen, Annalen der Physik, vol.17, issue.2, pp.289-306, 1906.
DOI : 10.1002/andp.19063240204

H. A. Einstein, Formulas for the transportation of bed load, Transactions of the American Society of Civil Engineers, vol.2140, pp.561-597, 1942.

Y. Forterre and O. Pouliquen, Flows of Dense Granular Media, Annual Review of Fluid Mechanics, vol.40, issue.1, pp.1-24, 2008.
DOI : 10.1146/annurev.fluid.40.111406.102142
URL : https://hal.archives-ouvertes.fr/hal-01432132

J. Happel and H. Brenner, Low Reynolds number hydrodynamics. Martinus Nijhof, The Hague, 1973.
DOI : 10.1007/978-94-009-8352-6

Y. Jop, O. Forterre, and . Pouliquen, A constitutive law for dense granular flows, Nature, vol.94, issue.7094, pp.727-730, 2006.
DOI : 10.1038/nature04801
URL : https://hal.archives-ouvertes.fr/hal-01432178

E. Meyer-peter and R. Muller, Formulas for bed-load transport, 2nd Meeting of the International Association of Hydraulic and Structural Research, pp.34-64, 1948.

M. Ouriemi, P. Aussillous, and E. Guazzelli, Sediment dynamics. Part 1. Bed-load transport by laminar shearing flows, Journal of Fluid Mechanics, vol.33, pp.295-319, 2009.
DOI : 10.1007/BF02120313
URL : https://hal.archives-ouvertes.fr/hal-01432009

M. Ouriemi, P. Aussillous, and E. Guazzelli, Sediment dynamics. Part 2. Dune formation in pipe flow, Journal of Fluid Mechanics, vol.636, pp.321-336, 2009.
DOI : 10.1017/S0022112003007201
URL : https://hal.archives-ouvertes.fr/hal-01432009

M. Pailha, J. Chauchat, P. Aussillous, M. Médale, and E. Guazzelli, Bed-load Transport, 2011.

S. Yalin, An expression for bed-load transportation, J. Hydraul. Division, vol.3, pp.221-250, 1963.