Abstract
Open channel flows over a wavy bed are investigated theoretically by using the perturbation method for the open channel flow equations. The depth averaged momentum equation including the effect of vertical acceleration is applied to the analysis of free surface profiles and bottom shear stresses. Considering the irrotational condition of flow far from the bottom and the acceleration/de-acceleration effect near the bottom, the local change of the velocity distribution is introduced through the depth integration of the momentum equation in the flow direction. The 1st and 2nd order solutions are derived and are compared with the previous experimental results of depth and bottom shear stresses.
