ANTONITO, Muktiadi:
I agree with Muktiadis last posting. With the large number of variables influencing any theoretical formula for torque, it will be difficult to find a correct mathematical setup including all variables. The variation and differences for each singel factor from valve to valve (at each physical location) will easily vary very much.
Please also be reminded that it is not unusual to observe a very wide range of breaking torque (as indicated by yourself) from valve to valve and application, and the same, in a much lesser degree, also in closing torque.
Reminder: it is normal to stop closing travel for ball-valves with limit switches, torque switches for closing travel to be set higher than normal closing torque to give extra protection.
Depending of fluid and application, break away torque can vary as much as 1:5 (some says 1:10), for crude oil perhaps more normal 1:2. Even if travelling torque will vary less, a valve used first time after a longer periode in open or closed position will normally have a somewhat higer travelling torque than one regularily opened and closed.
One way solve your problem could be to simplify the calculation to some fewer variables. You could for instance limit fluid characteristic to what is used in your plant, and limit other variables to a suitable number, trying to pick out the main influencing ones.
If you include an extra correcting constant and/or describe an expected accuracy and check it out statistically with practical measurements, you would probably hit target with a valid formula usable for similar applications.
Dont forget variation in torque cuased by stem sealings and bearings, and mechanical influence of gears and components in the actuator, and influences from the orientation of the valve.
Good luck!