If you go here
http://www.stream.fs.fed.us/fishxing...s_Equation.htm
It will give you a brief description of Mannings Equation.
However, the fine print at the bottom says
"Under the assumption of uniform flow conditions the bottom slope is the same as the slope of the energy grade line and the water surface slope."
This is a BIG assumption and is not the flow conditions in the Mississippi at this time (nor at any time for that matter)
Also if you are familiar with applying the equation --"A", "R", and "n" are VARIABLE for any given cross section and engineering judgement must be used in applying the equation to a given station in a river. That's right "A" (area) is a variable because of scour.
If you go here
http://earthobservatory.nasa.gov/Nat...w.php?id=50690
you will see in the top image lots of deep blue along the Mississippi river basin. That deep blue is water. Compare that to the bottom image you can see that there is a ______ load of water STILL between Cairo Illinois and Memphis Tenn. Anybody want to guess where that water is going? The caption for those images is "lingering floods along the Mississippi". I would suspect that once that water decides to move there won't be much to stop it.
Anybody want to guess what kept that water up there? How about high water down stream (the crest). High water that is getting lower because we have crested down here. Because we have crested and the water is getting lower the energy grade (down here) is lower resulting in an increase in the slope of the energy grade line (The "S" in the Mannings equation). from here to up there. When "S" gets bigger so does "Q". "Q" can get higher without an corresponding increase in "A" (stage) if "S" gets high enough. Guess what ---"Q" is the determining factor in the operation of the Morganza spillway.
Because this is a hydrodynamic event we could be looking at fluctuating between an upstream control event to a downstream control event depending upon where you are along the river.