Q10/A liquid storage system is shown below. The normal operating conditions are q1 = 10 ft3min, q2 = 5 ft3min, h = 4 ft. The tank is 6 ft in diameter, and the density of each stream is 60 lb/ft3. Suppose that a pulse change in q1 occurs as shown in Fig. E5.8. (a) What is the transfer function relating H' to Q',? (b) Derive an expression 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 a change in q1 from 10 to 20 (at t = 0) to 15 ft3/min at t = 12. %3D

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Q10/A liquid storage system is shown below. The normal operating
conditions are q1 = 10 ft3min, q2 = 5 ft3min, h = 4 ft. The tank is 6 ft in
diameter, and the density of each stream is 60 Ib/ft3. Suppose that a pulse
change in q1 occurs as shown in Fig. E5.8.
(a) What is the transfer function relating H' to Q',?
(b) Derive an expression 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 a change in q1 from 10 to 20 (at t = 0) to 15
ft3/min at t = 12.
92
20
9i 15
10
12
Time (min)
Figure E5.8
Transcribed Image Text:Q10/A liquid storage system is shown below. The normal operating conditions are q1 = 10 ft3min, q2 = 5 ft3min, h = 4 ft. The tank is 6 ft in diameter, and the density of each stream is 60 Ib/ft3. Suppose that a pulse change in q1 occurs as shown in Fig. E5.8. (a) What is the transfer function relating H' to Q',? (b) Derive an expression 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 a change in q1 from 10 to 20 (at t = 0) to 15 ft3/min at t = 12. 92 20 9i 15 10 12 Time (min) Figure E5.8
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