In the non-interactive system consisting of two tanks that are immersed in each other; stvi levels in the first tank and in the second tank are h, and ₂. The outputs from the tanks are F₁ and F. F, and F₂ can use the relations F, kh, and F₂ = ₂ to flow streams. The system is initially in a fire state and the Tank is long-stretched 0.5 m³/h and is operated at the feed flow level. After a while, the feed flow rate is changed to Im²h with the step effect. The diameter of the tanks is 0,=1.5 m and 0-2 m. coefficients of friction k = 0.25 and k₂-0.75. a) Derive the transfer function G(s) of the system. b) Calculate the time constant (t) and process gain (K) values ​​of the tanks and the system. c) Calculate the steady-state values ​​of the liquid level in the tanks before and after the step.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
icon
Related questions
Question
In the non-interactive system consisting of two tanks that are immersed in each other; stvi levels in the first tank and in the second tank are h, and ₂. The outputs from the tanks are F₁ and F. F, and F₂ can use the relations F, kh, and F₂ = ₂ to flow streams. The system is initially in a fire state and the Tank is long-stretched 0.5 m³/h and is operated at the feed flow level. After a while, the feed flow rate is changed to Im²h with the step effect. The diameter of the tanks is 0,=1.5 m and 0-2 m. coefficients of friction k = 0.25 and k₂-0.75. a) Derive the transfer function G(s) of the system. b) Calculate the time constant (t) and process gain (K) values ​​of the tanks and the system. c) Calculate the steady-state values ​​of the liquid level in the tanks before and after the step. d) If the volume of the second tank is 25 m, how long after applying the hashing effect, the second tank does it overflow? e) In case the liquid level is controlled by the PID controller: assuming the time delay of the process is 0.5 minutes, determine the PID controller constants for the disturbance effect.
Expert Solution
steps

Step by step

Solved in 5 steps with 13 images

Blurred answer
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Process Dynamics and Control, 4e
Process Dynamics and Control, 4e
Chemical Engineering
ISBN:
9781119285915
Author:
Seborg
Publisher:
WILEY
Industrial Plastics: Theory and Applications
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The