“….025, F gr,cr =0.17 q b,k : transport rate of the k-th fraction of bedload per unit width, q s,k : fractional transport rate of non-uniform suspended load, k: grain size class, P k : ratio of material of size fraction k available in the bed, : relative density (γ s/γ − 1), γ and γ s : specific weights of fluid and sediment, respectively; g: gravitational acceleration; d k : diameter of the particles in size class k, φ b,k : dimensionless transport parameter for fractional bed load yields, v: kinematic viscosity, τ : shear stress of entire cross-section τ c,k : critical shear stress, θ c : critical Shields parameter, ξ k : hiding and exposure factor, P e,k and P h,k : total exposed and hidden probabilities of the particles in size class k, P b,j : probability of particles in size class j staying in the front of particles in size class k, τ b : average bed shear stress; n: manning's roughness, and n : manning's roughness related to grains, R h : hydraulic radius, S f : the energy slope, V : average flow velocity, d50: median diameter, ω: settling velocity, q t : total sediment transport capacity at current cross-section (q t = q s +q b , for the equations after Wu et al, 2000;Ashida and Michiue, 1973), S: bed slope, B: channel width, : constant as a function of grain size, u * : shear velocity, u c,k : effective shear velocity, F gr : sediment mobility number, n o , m o , ψ, F gr,cr are dimensionless coefficients depending on the dimensionless particle size d * k , C: concentration at a reference level a.…”