The Bed-Load Function

Abstract

A simple derivation of the bed-load function has been presented. It was shown that the jump length of detached particles need not be assumed constant, and by treating it as a random variable, that it is only its mean value that influences the rate of transport regardless of what its probability density function may be. The present approach is considerably simpler than Einstein.s in that it does no need to consider multiple jumps and their probabilities. Further, a simple empirical equation for the probability of detachment was developed, which could be helpful when dealing with applications of the bed-load function.