A liquid storage system is shown below. The normal operating conditions are q₁ = 10 ft³/min, q₂ = 5 ft³/min, h = 4 ft. The tank is 6 ft in diameter, and the density of each stream is 60lb/ft. Suppose that a pulse change in q₁ occurs as shown in figure.

(a) What is the transfer function relating H? to Q|?

(b) Derive an express ion for h(t) for this input change.

(c) What is the new steady-state value of liquid level h?

(d) Repeat (b) and (c) for the doublet pulse input of Exercise 5.1 where the changes in q₁ are from 10 to 15 to 5 to 10ft³/min.

Transcribed Image Text:

12 91 15 10 12 Time (min)