In the determination of the average velocity of flow in wide rivers, it is common practice to estimate the average velocity in a vertical section by making a single measurement at a distance below the water surface equal to 60 percent of the depth. Assuming the following equation represents the true distribution in the vertical, determine the actual distance below the surface at which the velocity, u, equals the depth-averaged velocity, U. Provide a plot of your results.
(u-U)/(U*sqrt(f)) = 2 log (y/h) +0.88
u = velocity at a distance y above the river bed
U = depth-averaged velocity
h = flow depth
f = friction factor (a dimensionless constant)