Homework_4 - CBE 162 Chemical Process Control Homework 4...

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CBE 162: Chemical Process Control Homework 4 Due on 5th Mar, 2013 You may turn it in the same day by 5pm (no penalty), or with 25% deduction/day at 384 Tan Hall. Clearly state all assumptions. Please make sure that pages are numbered, and the questions are in order. Question 1. The variation of exit temperature with respect to change in feed temperature is being monitored for an exothermic reaction occurring in a tubular reactor. When linearized and converted to the Laplace domain, a second order transfer function with numerator dynamics is obtained. g ( s ) = K ( τ a s +1) ( τ 1 s +1)( τ 2 s +1) where K = 2, τ 1 = 10, and τ 2 = 2. (a) Calculate the time domain responses for step inputs of magnitude 0.5 and plot them in a single figure, if τ a has the following values: [20,4,1,-2]. (20 pts) (b) Comment on the impact of location of the zero relative to that of poles on the output response. (20 pts) Question 2. A surge tank has been operating for a long time with the inlet flow rate q i of 30.4 ft 3 min - 1 . The operator increases the flow rate suddenly by 10%. Subsequently, the liquid level in the tank changes as shown:
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