Abstract
Fundamental properties of high velocity flows in a continuously meandering channel are investigated with comparisons of the results of previous experimental and analytical studies. Substituting a simple functional form assumed for hydraulic variables into the 2-D depth-averaged flow equations, the non-linear algebraic equations concerning amplitudes and phase lags for the depth and velocity distributions are derived. The mechanism to increase resistance coefficients of mean flows are included in the analysis. The results of non-linear analysis, which were obtained through the error analysis of algebraic equations, indicate that in the case of a meandering channel with small curvature radius, the Froude number can not exceed the value at the resonance relation due to the increase of flow resistance, and the relation between the amplitude of depth variations and the Froude number can be approximated by the linear theory in the range of the smaller Froude number than the resonance one.
