Analytical solutions for transverse distributions of stream-wise velocity in turbulent flow in rectangular channel with partial vegetation

The theory of poroelasticity is introduced to study the hydraulic properties of the steady uniform turbulent flow in a partially vegetated rectangular channel.Plants are assumed as immovable media.The resistance caused by vegetation is expressed by the theory of poroelasticity.Considering the influence of a secondary flow,the momentum equation can be simplified.The momentum equation is nondimensionalized to obtain a smooth solution for the lateral distribution of the longitudinal velocity.To verify the model,an acoustic Doppler velocimeter(ADV) is used to measure the velocity field in a rectangular open channel partially with emergent artificial rigid vegetation.Comparisons between the measured data and the computed results show that the method can predict the transverse distributions of stream-wise velocities in turbulent flows in a rectangular channel with partial vegetation.