Determination of The Escape Velocity of Particles on A Riverbank Using the Truncated Pyramid Model

Abstract

In this paper it has been shown that the cohesive force binds the particles on a riverbank. The escape velocity of the particles is a function of the inter-particle distance, the mean radius of the particles and the volume of water entrapped between them. The escape velocity is the velocity required by a particle to get separated from the riverbank. It helps in determination of other relevant parameters like volumetric rate of bank erosion, entrainment rate and so on. Unlike the previous research here light has been thrown on the cohesive force between the adjacent particles in a deterministic manner. The influence of a gradual increase in the volume of water bridge on the escape velocity of a particle has also been studied.

An analysis of the data has been made to find the level of significance of the input parameters. This includes a regression analysis for calculation of the residual values between the predicted and the calculated escape velocities. Corresponding graphs have also been plotted to present these variations pictorially.