Farshi, Fatemeh


PhD Graduate


Analytical-Numerical Modeling of Boundary Shear Stress Distribution in Curved Compound Channels


Student Name

Fatemeh Farshi




Abdolreza Kabiri Samani
(Assoc. Prof._Civil Engineering Department_Isfahan University of Technology)

Mohammad Reza Chamani
(Assoc. Prof._Civil Engineering Department_Isfahan University of Technology)






Boundary shear stress

Depth-averaged velocity

Secondary currents

Compound channel Open

channel bend

Momentum transfer coefficient



Three previous researches were combined to develop an analytical model for evaluation of boundary shear stress in compound open channel bends. In the present model, perpendicular volumetric elements are generated in all cross sections of a bend. Each element represents an equation with two parameters as secondary current parameter and momentum transfer coefficient, standing for acceleration and apparent shear forces. For each cross section with N elements, N equations with N unknowns of stream-wise depth-averaged velocity, are derived. The boundary shear stress distribution is then calculated using the Darcy-Weisbach relationship. Simultaneous effects of centrifugal force, floodplain interferences, and variation of the depth-averaged velocity are combined in an analytical model to derive a relationship for estimating the secondary current parameter and the momentum transfer coefficient in bends of the compound open channels. These parameters are evaluated, using the experimental data. To generalize the obtained relationships, numerical modelling is performed using an open source CFD software, namely OpenFOAM. In the present study, the Reynolds Averaged Navier-Stocks equations (RANS) are solved, and a single-phase solver, simpleFoam, is applied with an appropriate boundary condition on the free-surface. The SST k-e turbulent model is applied for turbulence modelling of the flow field. To obtain general correlations for the hydrodynamic characteristics of the flow such as the velocity components, different numerical models are developed. Accordingly, all the present numerical results, as well as the available experimental data are used to derive correlations for the secondary current parameter and the momentum transfer coefficient in curved compound open channels.

تحت نظارت وف ایرانی