Equal % valves - Part 1 - What is the equation?

What is the equation of an equal percentage valve? What is the Cv of an equal percentage valve that is 50% open? This is something I want to answer before looking at why we would even need a valve that has an equal percentage characteristic.

Link to the sheet with valve characteristics:
https://docs.google.com/spreadsheets/...

00:00 Learning about valve characteristics
02:13 Comparing linear & equal percentage behaviour
05:41 How many data points do I need to define behaviour?
08:04 Deriving the equation
09:43 There are multiple possible equal percentage valves
11:21 Looking at a real equal percentage valve
12:28 Final thoughts

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