I've come across a scenario where I have a vertical cylindrical tank filled with water, that has an inlet flow valve and outlet flow valve.
- Resistance or gain R = 1.5 m^3/min
- Area of tank = 2 m^2
- Gravity due to acceleration = 9.81 m/s^2
- Density p = 1000 kg/m^3
The transfer function for this open-loop control system (I think): H(s)/Qi(s) = k/ts+1.
I'm a bit stuck on how to get the time constant, a lot of the examples I've looked at are two tanks or the tank is horizontal?
Can anyone help explain if I've got the transfer function right and how to get the time constant? I think I'm meant to use Laplace transform but don't know what variables to use?