(Solved):   Derive the overall transfer function of \( \mathrm{H} / \mathrm{Q} \) for the liquid-level ...

 

Derive the overall transfer function of \( \mathrm{H} / \mathrm{Q} \) for the liquid-level system shown in Figure Q1(a) with a clear derivation starting from the first principle model. Note that the resistances are linear. \( \mathrm{H} \) and \( \mathrm{Q} \) are deviation variables. 1'guie \( \mathrm{V}(a) \). Liquiu-10ver systein Derive the transfer function for the liquid-level system in Q1(a) if a sudden flow rate change happened at the inlet flow, given that the magnitude of the input function is equal to 1 . Sketch the response curve of \( H(t) \) versus \( t / \tau \) for \( Q 1(b) \).