Abstract

For channels under the natural circumstances in the alluvial plain, the interaction between the currents of water and the river bed is the main reason for forming the various side slopes of channel bank. Many researchers in several subjects have been looking forward to the right mathematical description about the process of the interaction and the useful indicator to design the practical bank protection and the construction. This article refers to the accumulation graphics of the affine spheroid noncohesive sediment, adding the effect of the current of water, builds up a corresponding mechanics equilibrium equation, which shows the calculation formula. Based on that, this article builds up an equation about the theoretical slope of the bank. According to the preliminary calculation, it presents that the formula can reveal the interaction between the current of water and the river bed. It can explain the reason about the formation of the various slopes. Exploring the stability of the slopes can benefit from the formula.

Keywords: noncohesive sediment, submerged angle of repose, theoretical bank slope, internal friction factor