process systems analysis and control 3rd edition problem 5.1

Derive the transfer function H(s)/Q(s) for the liquid level system in Figure P5-1 for each of the following cases. (a) When the liquid level is operated around the steady-state value of h_s=1ft (b) When the liquid level is operated around the steady-state value of h_s=3ft The pump drains water at a constant flow rate of 10 cfm (ft³/min). This flow rate is independent of the liquid level. The cross-sectional area of the tank is 1.0 ft² and the resistance R is 0.5 ft/cfm.

q,ft3/min P5-1