Reply to comments on 'Depth-energy and depth-force relationships in open channel flows II: Analytical findings for power-law cross sections''Depth-energy and depth-force relationships in open channel flows II: Analytical findings for power-law cross sections'

摘要

First, we would like to thank Dr. Vatankhah for his interest in our work.rnThe main topic of our article is the analysis of the non-linear dependence of both specific energy and total force on depth, with the goal of obtaining an analytical method for the inversion of these functions. We recommend this method for the cases where a large number of inversions needs to be performed. In our opinion, the key feature of the method is avoidance of iterative procedures. As often the case for an approximate analytical procedure, our method holds true for a limited range of the m parameter, more precisely 0≤ m ≤ 0.4.