Thanks Frank and Jones, I often use the GSU physics website for reference.
 
From the series of posts on this thread I suggest water has the ability to mimic the  energy storage ability like a capacitor has the ability to store an electric charge. From our work using vortex mixing some interesting observations have been logged over the years that suggest this ability of water to store energy. The total energy stored seems to arrive  from other than hydrostatic or induced head unless the energy stored has a cumulative property of its own. 
 
We often use " shapes" upstream of the regime to induce a vortex ahead of the mixing regime or channel.  In some installations this induced vortex seems to release energy on its own which greatly assists the mixing. The standard formula used in mixing is  by calculating for G  (the mixing velocity gradient)  estimated as the square root of the horsepower of the mixing motor divided by the volume of the mixing regime  times the viscosity of water assumed as  .0000235
The superior mixing results using " these vortex inducing shapes can be demonstrated by introducing dye with the chemical and observing the downstream results.

 Granted that horsepower is horse hockey and torque is what a mule has in his rear, the formula for input horsepower vs mixing intensity simply doesn't " hold water" pun intended.
 
Frank's math goes a long way to addressing the mystery
 
Richard
 
 

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