5.9 Two liquid storage systems are shown in Fig. E5.9. Each tank is 4 feet in diameter. For System I, the valve acts as a linear resistance with the flow-head relation q 8.33 h, where q is in gal/min and h is in feet. For SystemII, varia tions in liquid level h do not affect exit flow rate q. Suppose that each system is initially at steady state with 6ft and 7-50 gal/min and that at time t=0 the inlet flow rate suddenly changes from 50 to 70 gal/min. For each system determine the following information: (a) The transfer function H'(s)/Qj(s) where the primes denote deviation variables. (b) The transient response h(t) (c) The new steady-state levels. (d) If each tank is 8 ft tall, which tank overflows first? When? (e) Verify the results in (d) using computer simulation. 9 9 System l System II Figure E5.9
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5.9 Two liquid storage systems are shown in Fig. E5.9. Each tank is 4 feet in diameter. For System I, the valve acts as a linear resistance with the flow-head relation q 8.33 h, where q is in gal/min and h is in feet. For SystemII, varia tions in liquid level h do not affect exit flow rate q. Suppose that each system is initially at steady state with 6ft and 7-50 gal/min and that at time t=0 the inlet flow rate suddenly changes from 50 to 70 gal/min. For each system determine the following information: (a) The transfer function H'(s)/Qj(s) where the primes denote deviation variables. (b) The transient response h(t) (c) The new steady-state levels. (d) If each tank is 8 ft tall, which tank overflows first? When? (e) Verify the results in (d) using computer simulation. 9 9 System l System II Figure E5.9
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