Surge and storage tanks are important dynamic processes in
Chapter 2, Problem 2.20(choose chapter or problem)
Surge and storage tanks are important dynamic processes in a chemical plant. We can investigate their behavior by using simple experiments at home. Obtain a translucent paper cup (available at fine fast-food restaurants) approximately 6 to 8 in high (or more). Puncture the cup on the side near the bottom with a small hole (- 118 in). (a) Fill the cup to the top and record how long it takes for the cup to empty. Try other heights (h) and record the time to empty Cte) (and repeat some of the trials due to experimental error). Plot the results (h vs. te). Is the relationship between h and te linear or nonlinear? Note this data is related to the case if you measure the height vs. time in a single experiment. (b) Is the outflow rate constant with respect to time? Explain why, or why not. (c) Develop a nonlinear dynamic model (ODE) for the process that describes the height vs. time:
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