The present study develops a steady two-dimensional model for the distribution of suspended sediment concentration in an open channel turbulent flow carrying sediments. The theoretical model takes into account the effect of hindered settling through the exponent of reduction of settling velocity. Unlike most others, this study looks into the effect of secondary current on concentration distributions in both narrow and wide open channels. Apart from this, the model considers the influence of fluid-induced lift force and the force exerted owing to the gradient of Reynolds normal stress. The inclusion of these hydrodynamic phenomena makes the governing equation highly non-linear. Thus, the governing equation, along with two generalised boundary conditions and an initial condition, has been numerically solved. The obtained results show that the hindered settling increases the magnitude of the concentration profile. On the other hand, the sediment concentration decreases due to the presence of the secondary current; whereas it increases because of the exerted force. Finally, the model has been validated with a wide range of experimental data at a far-field position.