I am curious about the math to determine flow and electrical production calculations for the vortex power plant seen here:
www.treehugger.com/files/2007/06/gravitational_vortex_power.php

Specifically:
1. How the diameter and height, or water drop effect the force of the vortex (if you made the diameter smaller or the vortex taller, would it create a more powerful vortex with a greater flow rate and velocity? Also, how to create a vortex using a pump and how to maximize the size and power of the vortex while minimizing the size of the pump.

2. How to convert the flow rate and velocity calculations of the vortex into KWh production and show how different heights or diameters might effect the power production

Ideally I would like to be able to demonstrate these different variables in some sort of graph or Excel like chart to show the optimized diameter and height of a tube that maximize the flow, velocity and electrical production of the vortex while minimizing the size of the pump or stream flow required to produce the vortex.

Any help is greatly appreciated.

It is a centripetal turbine. Because it has no closed pipe, it works worse than a normal one; low velocity also is a drawback for the generator.

So if you want to have advantages, you have to look at non-energetic factors, as the inventor does.

Enthalpy - Can you be more specific about non-energetic factors?

My answer wasn't clear.

The original paper explains advantages outside energy production, like for instance introducing air in the water downstream the turbine.