A mathematical model of the flow and bed topography in curved channels

A two-dimensional horizontal mathematical model of the flow and bed topography in alluvial channel bends is presented. The applicability of the model is restricted to channels of which the width-depth ratio is large, the Froude number is small, bed load is dominant and grain sorting effects are negligible. First order analyses of the...

Measurements of the rate of adjustment of the secondary flow in a curved open channel with varying discharge

Prediction of bottom changes in rivers and tidal channels require a thorough knowledge of the secondary flow, as this flow gives rise to bottom slopes transverse to the main flow direction. In the model used in this research, the computation of the secondary flow field is based upon an, independently computed, depth averaged main flow field. In...

Flow measurements in a curved rectangular channel

This report describes an extensive experiment on steady turbulent flow in a rather sharply curved U-shaped flume with a shallow rectangular cross-section, under almost the same conditions as earlier, less extensive measurements in the same flume. The experiment was carried out as a part of a research project aiming at a mathematical model of the...

Theory of viscous flow in curved shallow channels

The axisymmetrical, viscous flow in curved channels is considered in the case where the hydraulic radius of the cross-section is small with respect to the average radius of curvature of the bend. First Ananyan's theory on this subject is reconsidered, using a regular perturbation method. The results are applied to a specific channel with a...