Solution Found!

Engineering and Tech / Process Dynamics and Control 3 / Chapter 6 / Problem 6.16

Process Dynamics and Control | 3rd Edition | ISBN: 9780470128671 | Authors: Dale E. Seborg

Change Question

An open liquid surge system (p = constant) is designed

Chapter 6, Problem 6.16

(choose chapter or problem)

Get Unlimited Answers

QUESTION:

An open liquid surge system (p = constant) is designed with a side tank that normally is isolated from the flowing material as shown in Fig. E6.16. Area =A1 Figure E6.16 Qo----,l Rl Valve 1 Area =A2 R2 Valve 2 Tl,~ E :I Figure E6.19 Exercises 111 (a) In normal operation, Valve 1 is closed (R1 ~ oo) and q1 = 0. What is the transfer function relating changes in q0 to changes in outflow rate q2 under these conditions? (b) Someone inadvertently leaves Valve 1 partially open (0 < R1 < oo ). What is the differential equation model for this system? (c) What do you know about the form of the transfer function Q2(s)/Q6(s) for Valve 1 partially open? Discuss but do not derive. (d) Is the response to changes in q0 faster or slower for Case (b) compared to Case (a)? Explain why but do not derive the response.

Questions & Answers

QUESTION:

An open liquid surge system (p = constant) is designed with a side tank that normally is isolated from the flowing material as shown in Fig. E6.16. Area =A1 Figure E6.16 Qo----,l Rl Valve 1 Area =A2 R2 Valve 2 Tl,~ E :I Figure E6.19 Exercises 111 (a) In normal operation, Valve 1 is closed (R1 ~ oo) and q1 = 0. What is the transfer function relating changes in q0 to changes in outflow rate q2 under these conditions? (b) Someone inadvertently leaves Valve 1 partially open (0 < R1 < oo ). What is the differential equation model for this system? (c) What do you know about the form of the transfer function Q2(s)/Q6(s) for Valve 1 partially open? Discuss but do not derive. (d) Is the response to changes in q0 faster or slower for Case (b) compared to Case (a)? Explain why but do not derive the response.

ANSWER:

Step 1 of 3

The given system is,

(a)

If and

Therefore,

Now, by taking a Laplace transformation,

Since

Study Tools You Might Need

Chapter: 4 Problem: 14E

Chemistry: The Central Science 12
Detailed calculations show that the value of \(Z_{\text {eff }}\) for the outermost electrons in Si and Cl atoms is \(4.29+\) and \(6.12+\), respectively. (a) What value do you estimate for \(Z_{\text {eff }}\) experienced by the outermost electron in both \(\mathrm{Si}\) and \(\mathrm{Cl}\) by assum

Chapter: 4 Problem: 24P

Physics with MasteringPhysics 4
A basketball is thrown horizontally with an initial speed of 4.20 m/s (Figure 417). A straight line drawn from the release point to the landing point makes an angle of \(30.0^\circ\) with the horizontal. What was the release height? ________________ Equation Tran

Chapter: 6 Problem: 59P

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics 3
If An artist friend of yours needs help hanging a 500 lb sculpture from the ceiling. For artistic reasons, she wants to use just two ropes. One will be \(30^{\circ}\)from vertical, the other \(60^{\circ}\). She needs you to determine the smallest diameter rope that can safely support this expensive p

Chapter: 7 Problem: 47

Physics: Principles with Applications 7
(III) An atomic nucleus of mass m traveling with speed v collides elastically with a target particle of mass 2m (initially at rest) and is scattered at \(90^{\circ}\). (a) At what angle does the target particle move after the collision? (b) What are the final speeds of the two particles? (c) What fra

Chapter: 3 Problem: 57P

Organic Chemistry 7
Which of the following conformers of isobutyl chloride is the most stable?

Chapter: 19 Problem: 3

Campbell Biology in Focus - Standalone book 1
Within six months of effectively using methicillin to treat S. aureus infections in a community, all new infections were caused by MRSA. How can this result best be explained? a. S. aureus can resist vaccines. b. A patient must have become infected with MRSA from another community. c. In response to

Chapter: 0 Problem: 5

Krugman's Economics for AP* 2
Long-run economic growth depends almost entirely on a. technological change. b. rising productivity. c. increased labor force participation. d. rising real GDP per capita. e. population growth.

Chapter: 22 Problem: 84

Chemistry: A Molecular Approach 5
Draw the structure for each ether. a. ethyl propyl ether b. dibutyl ether c. methyl hexyl ether d. dipentyl ether

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

×

Register

Sign up for access to all content on our site!

Or login if you already have an account