Sediment transport under normal and tangential bottom stresses with the bottom slope taken into account

It is shown that the sediment transport rate is uniquely determined by the normal and tangential stresses and the slope of the bottom surface. The dependence of the mass flow rate of sediments transported over an uneven eroded bottom on these three characteristics was obtained analytically. A formula for the sediment transport rate that generalizes a number of well-known formulas of sediment transport was derived within the framework of a two-velocity model.