A liquid storage facility can be modeled by where y is the liquid level (m) and u

Question:

A liquid storage facility can be modeled by

where y is the liquid level (m) and u is an inlet flow rate (m³/s). Both are defined as deviations from the nominal steady-state values. Thus, y = u = 0 at the nominal steady state. Also, the initial values of all the derivatives are zero.

(a) If u(t) suddenly changes from 0 to 1 m³ /s at t = 0, deter-mine the liquid level response,y(t).

(b) If the tank height is 2.5 m, will the tank overflow?

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Process Dynamics and Control

ISBN: 978-1119385561

4th edition

Authors: Dale E. Seborg, Thomas F. Edgar, Duncan A. Mellichamp, Francis J. Doyle

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Question Posted: Jul 30, 2018 01:42 PM

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A liquid storage facility can be modeled by where y is the liquid level (m) and u

Question:

ÿ + 5ỷ + y(t) = 8ù + u(t)

Step by Step Answer:

a Take the Laplace transform of each term taking into account that all initial conditions are zero s ...View the full answer

Process Dynamics and Control

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