ABSTRACT
Consider a debris flow over an erodible bed, as shown in Figure 7.1. It is assumed that the flow is steady and uniform, where the depth of flow is h0, and the sediment concentration decreases monotonically from a maximum value of cm at the channel bottom to an arbitrary value of ch at the water surface. Let c(y) be the sediment concentration at a vertical distance y (0 ≤ y ≤ h0) from the channel bed. The sediment concentration is defined as the volume of sediment divided by the volume of fluid-sediment mixture and is dimensionless. Thus, it is expressed as a fraction or in
percent by volume. For application of the Tsallis entropy, it is assumed that the timeaveraged sediment concentration C is a random variable.
