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An operator introduces a step change in the flow rate qi
Chapter 7, Problem 7.1(choose chapter or problem)
An operator introduces a step change in the flow rate qi to a particular process at 3:05 A.M., changing the flow from 500 to 540 gaUmin. The first change in the process temperature T (initially at 120 F) occurs at 3:09 A.M. After that, the response in T is quite rapid, slowing down gradually until it appears to reach a steady-state value of 124.7 F. The operator notes in the logbook that there is no change after 3:34 A.M. What approximate transfer function might be used to relate temperature to flow rate for this process in the absence of more accurate information? What should the operator do next time to obtain a better estimate?
Questions & Answers
QUESTION:
An operator introduces a step change in the flow rate qi to a particular process at 3:05 A.M., changing the flow from 500 to 540 gaUmin. The first change in the process temperature T (initially at 120 F) occurs at 3:09 A.M. After that, the response in T is quite rapid, slowing down gradually until it appears to reach a steady-state value of 124.7 F. The operator notes in the logbook that there is no change after 3:34 A.M. What approximate transfer function might be used to relate temperature to flow rate for this process in the absence of more accurate information? What should the operator do next time to obtain a better estimate?
ANSWER:Problem 7.1
An operator introduces a step change in the flow rate qi to a particular process at 3:05 A.M., changing the flow from 500 to 540 gal/min. The first change in the process temperature T (initially at 120 F) occurs at 3:09 A.M. After that, the response in T is quite rapid, slowing down gradually until it appears to reach a steady-state value of 124.7 F. The operator notes in the logbook that there is no change after 3:34 A.M. What approximate transfer function might be used to relate temperature to flow rate for this process in the absence of more accurate information? What should the operator do next time to obtain a better estimate?
Step by Step Solution
Step 1 of 3
Calculate the change in flow.
Calculate the gain.
Substitute the values in the above equation.