The interesting series of posts regarding this subject is fascinating. Anyone sitting in the middle of a tornado or hurricane can testify that the forces generated are awesome and certainly didn't come from the effect of gravity of falling water. A water vortex performs an interesting " reverse" flow similar to a hurricane. The evidence of this reverse flowing condition is from the micro
"twisters" spun off from the main vortex. The twisters are described as microbursts by the weathermen and account for the strange and specific damage during a hurricane. The twisters produce a short duration whistling sound easily remembered by anyone that has spent hours located in the path of a hurricane as it passes.
We can produce many variations of a vortex in our glass test tanks, The short duration vortexes spun off from the center vortex can be vertical, horizontal or diagonal and visible in the water tank because of entrained air.
As for the mathematics of a vortex, my old professor used to state.. one can perform wonders with numbers while eating cucumbers.
 
Richard

 

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