A system of two tanks in series as in Figure 4.1 has the following parameter values:...

  

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A system of two tanks in series as in Figure 4.1 has the following parameter values: A = 1 m, A = 2 m, R = 2 min/m, R = 1 min/m. The system is initially at steady state with Fin = 1 m/min. At time t = 0, the operator shuts a valve in the feed line by mistake, and this makes Fin = 0. (1) Calculate the response of the liquid levels h and h in the tanks. (2) After how much time will h drop to 1 m? What will be the value of h at that time? What will happen in the limit as if the valve remains shut? (3) The operator realizes his mistake when h reaches 1 m and immediately restores the feed flowrate to its normal value. What will happen afterwards? Compute h and h. Will h and h ultimately reach their original steady state values? Fin(t) h(1) h(1) F(1) F(t) A A R R Figure P4.1 Interacting tanks, with feed and exit line in the same tank. A system of two tanks in series as in Figure 4.1 has the following parameter values: A = 1 m, A = 2 m, R = 2 min/m, R = 1 min/m. The system is initially at steady state with Fin = 1 m/min. At time t = 0, the operator shuts a valve in the feed line by mistake, and this makes Fin = 0. (1) Calculate the response of the liquid levels h and h in the tanks. (2) After how much time will h drop to 1 m? What will be the value of h at that time? What will happen in the limit as if the valve remains shut? (3) The operator realizes his mistake when h reaches 1 m and immediately restores the feed flowrate to its normal value. What will happen afterwards? Compute h and h. Will h and h ultimately reach their original steady state values? Fin(t) h(1) h(1) F(1) F(t) A A R R Figure P4.1 Interacting tanks, with feed and exit line in the same tank.