ABSTRACT

In natural open channels, velocity varies in two directions, and therefore, the velocity distribution should be considered in two dimensions. The existing velocity distribution laws and equations that are described in the 1-D case are, however, applicable only to wide channels in which velocity is assumed to increase monotonically in the vertical direction from the channel bed to the water surface. They cannot be regarded as general or universal laws governing velocity distributions in open channels. The objective of this chapter is to present the derivation of 2-D velocity distributions using the Tsallis entropy.