In a non-interacting system consisting of two interconnected tanks, the liquid levels in the first tank and the second tank are h1 and h2, the exit speeds from the tanks are F1 and F2. The relations F1=K1h1 and F2=k2h2^0.5 can be used for the flow velocities F1 and F2. The system is initially stationary and the Tankl has been operating at a feed flow rate of 0.5 m^3/h for a long time. After a while, the feed flow rate is changed to 1 m^3/h by the step effect. The diameter of the tanks Ø1= 1.5m Ø 2=2m . the friction coefficients are k1 = 0.25 and k2 = 0.75. a) Derive the transfer function G(s) of the system. b) Calculate the time constant (ꚍ) and process gain (K) values of my tanks and the system. c) Calculate the steady state values of the liquid level in the tanks before and after the step. d) If the volume of the second tank is 25 m ^ 3, how long will the second tank overflow after the harvesting effect is applied? e) In the case where the liquid level is controlled by the PID controller, recognizing that the time delay of the process is 0.5 minutes, for the disruptive effect

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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In a non-interacting system consisting of two interconnected tanks, the liquid levels in the first tank and the second tank are h1 and h2, the exit speeds from the tanks are F1 and F2. The relations F1=K1h1 and F2=k2h2^0.5 can be used for the flow velocities F1 and F2. The system is initially stationary and the Tankl has been operating at a feed flow rate of 0.5 m^3/h for a long time. After a while, the feed flow rate is changed to 1 m^3/h by the step effect. The diameter of the tanks Ø1= 1.5m Ø 2=2m . the friction coefficients are k1 = 0.25 and k2 = 0.75. a) Derive the transfer function G(s) of the system. b) Calculate the time constant (ꚍ) and process gain (K) values of my tanks and the system. c) Calculate the steady state values of the liquid level in the tanks before and after the step. d) If the volume of the second tank is 25 m ^ 3, how long will the second tank overflow after the harvesting effect is applied? e) In the case where the liquid level is controlled by the PID controller, recognizing that the time delay of the process is 0.5 minutes, for the disruptive effect
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