This study explores power law relationships to estimate water flow velocity as a function of discharge and drainage area across river networks. We test the model using empirical data from 214 United States (U.S.) Geological Survey gauging stations distributed over the state of Iowa in the U.S.

Ghimire, G.R., W.F. Krajewski, and R. Mantilla, A power law model for river water velocity in U.S. Upper Midwestern basins, Journal of the American Water Resources Association, 54(3), 1-13, 2018.