Abstract

Investigation of unsteady flows in curved channels and solving the related equations are one of the main issues in hydraulics. In this study, the numerical model proposed by ‘beam and warming’ using the finite difference method is presented to solve unsteady flow equations in curved-trapezoidal channels and it has been used by taking advantage of modified  Model (regarding some modification upon K and  adjacent to the wall) and resistance control by satisfaction of Courant–Friedrichs conditions. In this model the effect of modified frictional slope has been simulated. This model was applied to the two hydraulics engineering related issues (flows created as a result of dam failure and flow in a curvature channel of 180 degree). The results of numerical model are compared with the Miller laboratory data, which show a high level of agreement.

Key words: Unsteady flow, hydraulic, trapezoidal channel.