homework4

# homework4 - CHBE 470 Process Dynamics and Control Fall 2007...

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CHBE 470 – Process Dynamics and Control – Fall 2007 Homework Set 4 Assigned: Wednesday, September 26 Due: Wednesday, October 3 Note: Please staple your papers and include your name in the first page Use table 7.1 from textbook wherever you find appropriate Problem 1: Consider the 2-tank liquid level system where the outlet from the first tank is the inlet to the second tank. Assume linear resistances and that the system operates at steady state when a unit-step change is made in the flow rate entering tank 1. The transient response is critically damped and it takes 1 min for the change in level of the second tank to reach 50 percent of the total change. If the ratio of the cross-sectional areas of the tanks is A 1 /A 2 =2, a) Calculate the ratio R 1 /R 2 , where R 1 , R 2 are the resistances in the 2 tanks. b) Calculate the time constant for each tank. c) How long does it take for the change in the level of the first tank to reach 90 percent of the total change?

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homework4 - CHBE 470 Process Dynamics and Control Fall 2007...

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