Some Remarks About Nonlinear Oscillations In Tidal Channels

Abstract

In tidal rivers one observes an unsymmetry between flood and ebbcurrent. This phenomenon is examined for channels with constant mean depth and mean cross-section area. The hydrodynamic equations are integrated over the vertical and it is shown that one is not allowed to introduce the usual simplifications (linearisation, neglection of friction) if one wants to describe this phenemenon. With the aid of a perturbation method the equations are integrated and it is shown that for sufficiently small ratio maximum of the flow/mean depth one can approximate the solution of by two harmonics. This approximation is examined in detail. DOI: 10.1111/j.2153-3490.1957.tb01853.x