WILLIAM 1. LUYBEN I
WIlllAM
PROCESS MODELING,
SIMULATION AND

CONTROL iOR m
FlitI
CHEMICAL ENGINEERS
SECOND EDITION-

l
5
...
McGraw-Hill Chemical Engineering Series ’
Editorial Advisory Board
James J. Carberry, Profissor
of Chemical Engineering, U...
The Series
Bailey and OUii: Biochemical Engineering Fundamentals
Bennett and Myers: Momentum, Heat, amd Mass Transfer
Beve...
Also available from McGraw-Hill
Schaum’s

Outline Series in Civil Engineering

Each outline includes basic theory, definit...
PROCESS MODELING,
SIMULATION, AND
CONTROL FOR
CHEMICAL ENGINEERS
Second Edition

William L. Luyben
Process Modeling and Co...
PROCESS MODELING, SIMULATION, AND CONTROL FOR
CHEMICAL ENGINEERS
INTERNATIONAL EDITION 1996

Exclusive rights by McGraw-Hi...
ABOUT THE AUTHOR

William L. Luyben received his B.S. in Chemical Engineering from the Pennsylvania State University where...
This book is dedicated to
Robert L. Pigford and Page S. Buckley,
two authentic pioneers
in process modeling
and process co...
CONTENTS

Preface
1
1.1
1.2
1.3
1.4
1.5
1.6

Part I
2
2.1

2.2

Introduction
Examples of the Role of Process Dynamics
and ...
I
4

Xii CONTENTS

3
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9
3.10
3.11
3.12
3.13
3.14

Examples of Mathematical Models
of Chem...
CONTENTS

5.7 Batch Reactor
5.8 Ternary Batch Distillation With Holdup
Problems

.. .
xlu

150
157
162

Part III Time-Doma...
Xiv

CONTENTS

8.8

8.9

Control System Design Concepts
8.8.1 General Guidelines
8.8.2 Trade-Offs Between Steadystate Desi...
CONTENTS
10.3

10.4

11
11.1

11.2

11.3

11.4
11.5

Performance Specifications
10.3.1 Steadystate Performance
10.3.2 Dyna...
.
xvi coNTENls
13.2

13.3

ii4

14
14.1
14.2

14.3

14.4
14.5

14.6
14.7
14.8

Closedloop Specifications in the Frequency ...
comwrs xvii
151.3 Transpose of a Matrix
151.4
Matrix Inversion
Matrix Properties
15.2.1 Eigenvalues
15.212 Canonical Trans...
.. .

XVIII

CONTENTS

Part VII Sampled-Data Control Systems
18
18.1

18.2
18.3
18.4

18.5
18.6
18.7

18.8
18.9

19
19.1
1...
CONTENTS

20.4
20.5

Sampled-Data Control of Processes With Deadtime
Sampled-Data Control of Openloop Unstable Processes
P...
.

PREFACE

The first edition of this book appeared over fifteen years ago. It was the first
chemical engineering textbook...
.
Xxii

PREFACE

Another significant change over the last decade has been the dramatic
increase in the computational power...
.. .

PREFACE XXIII

youthful enthusiasm, and genuine interest in the subject. If the ultimate gift that
a teacher can be ...
PROCESS MODELING, SIMULATION,
AND CONTROL FOR CHEMICAL ENGINEERS
CHAPTER

1

INTRODUCTION

This chapter is an introduction to process dynamics and control for those students who have had ...
2

PROCESS

MODELING,

SIMULATION.

AND

CONTROL

FOR

CHEMICAL

ENGINEERS

FIGURE 1.1

Gravity-flow tank.

time because o...
INTRODUmION

3

Since this is a book on control and instrumentation, we might also mention that a
high-level alarm and/or ...
4

PROCESS

MODELING,

SIMULATION,

AND

CONTROL

FOR

CHEMICAL

ENGINEERS

FIGURE 1.4

that only permits liquid to pass t...
FC = flow control loop
TC = temperature control loop
PC = pressure control loop
LC = level control loop

Bottoms
product
F...
6

PROCESS MODELING. SIMULATION, AND CONTROL FOR CHEMICAL ENGINEERS

Thermodynamics and mass transfer. Operating pressure,...
INTRODUCTION

7

13 PERSPECTIVE
Lest I be accused of overstating the relative importance of process control to the
main st...
8

PROCESS MODELING, SIMULATION, AND CONTROL FOR CHEMICAL ENGINEERS

from my successes, but probably more from my failures...
INTRODUCTION

9

1. Dynamics. Time-dependent behavior of a process. The behavior with no controllers in the system is call...
10

PROCESS

MODELING,

Disturbance

SIMULATION,

AND

CONTROL

FOR

CHEMICAL

ENGINEERS

c

Manipulated variable

Control...
I N T R O D U C T I O N 11

Time

FIGURE 19
Stability.

stability if it oscillates, even when undisturbed, and the amplitu...
12

PROCESS

MODELING,

SIMULATION,

AND

CONTROL

FOR

CHEMICAL

ENGINEERS

No degree of sophistication in the control sy...
PART

MATHEMATICAL
MODELS
OF
CHEMICAL
ENGINEERING
SYSTEMS

I

n the next two chapters we will develop dynamic mathematical...
CHAPTER

2
FUNDAMENTALS

2.1 INTRODUCTION
2.1.1 Uses of Mathematical Models
Without doubt, the most important result of de...
16

MATHEMATICAL

MODELS

OF

CHEMICAL

ENGINEERING

SYSTEMS

3. Plant operation: troubleshooting control and processing p...
FUNDAMENTALS

17

big, complex systems of equations, to make sure that the number of variables
equals the number of equati...
18

MATHEMATICAL MODEL-S OF CHEMICAL ENGINEERING SYSTEMS

The units of this equation are mass per time. Only one total con...
FUNDAMENTALS

z=o

I

19

z=L

z + dz

FIGURE 2.2
Flow through a pipe.

velocity are functions of both t and z: pg..) and ...
20

MATHEMATICAL

MODELS

OF

CHEMICAL

ENGINEERING

SYSTEMS

product of the reaction or decrease if it is a reactant. The...
FUNDAMENTALS

21

The minus sign comes from the fact that A is being consumed, not produced. The
units of all these terms ...
22

MATHEMATICAL

MODELS

OF

CHEMICAL

ENGINEERING

SYSTEMS

The component concentrations are related to the density
i Mj...
FUNDAMENTALS

23

Molar flow of A leaving system at boundary z + dz
= @AC,, + AN,) +

a(uACA

+
aZ

A A
N )

dz

Rate of f...
24

MATHEMATICAL MODELS OF CHEMICAL ENGINEERING SYST?XVS

F
CA
P

FIGURE 2.5

T

CSTR with heat removal.

The rate of heat...
FUNDAMENTALS

25

For liquids the PP term is negligible compared to the U term, and we use the
time rate of change of the ...
245

MATHEMATICAL

MODELS

OF

CHEMICAL

ENGINEERING

SYSTEMS

and replacing internal energies with enthalpies in the time...
FUNDAMENTALS

27

Flow of energy (enthalpy) into boundary at z due to bulk flow :
VA&, T

lb Btu
-&fP 2 - “R = Btu/min
ft3...
28

MATHEMATICAL

MODELS

OF

CHEMICAL

ENGINEERING

SYSTEMS

This is the basic relationship that is used in writing the e...
FUNDAMENTALS

29

The units of this force are (in English engineering units):
32.2 ft/s2
= lb,
32.2 lb,,, ft/lb, s2
where ...
30

MATHEMATICAL

MODELS

OF

CHEMICAL

ENGINEERING

SYSThiS

The cross-sectional area of the pipe is A,. The mass of flui...
FUNDAMENTALS

31

FIGURE 2.9
Laminar flow in a pipe.

The rate of change of momeritum of the system is
+ ; (2~ dz dr pv,)
...
32

MATHEMATICAL MODELS OF CHEMICAL ENGINEERING SYSTEMS

TABLE 2.1

Transport laws
Quantity

Heat

Flux

Mass

4

Momentum...
FUNDAMENTALS

Then Eq. (2.48) becomes

33

1

T2 =
A,T+A21 =A,(T-To)++(T2-T;)

(2.50)
[
To
Of course, with mixtures of com...
34

MATHEMATICAL

MODELS

OF

CHEMICAL

ENGINEERING

SYSTFMS

The usual way to work with this equation is in terms of an e...
FUNDAMENTALS

35

Wenzel in Chemical Process Analysis: Mass and Energy Balances, Chaps. 6 and 7,
Prentice-Hall, 1988.
Basi...
36

MATHEMATICAL MODELS OF CHEMICAL ENGINEERING SYSTEMS

In a binary system the relative volatility c( of the more volatil...
FUNDAMENTALS

.37

This exponential temperature dependence represents one of the most severe nonlinearities in chemical en...
38

MATHEMATICAL MODELS OF CHEMICAL ENGINEERING SYSTEMS

If the overa%

reaction rate for the system above is second-order...
FUNDAMENTALS

39

a direction 0 = 45” above the horizontal, what must u, be? If the tosser must accelerate the bale from a...
CHAPTER

3
EXAMPLES
OF
MATHEMATICAL
MODELS
OF
CHEMICAL
ENGINEERING
SYSTEMS

3.1 INTRODUCTION
Even if you were only half aw...
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Process modelling-simulation-and-control-for-chemical-engineers-luyben-130821092733-phpapp01
Process modelling-simulation-and-control-for-chemical-engineers-luyben-130821092733-phpapp01
Process modelling-simulation-and-control-for-chemical-engineers-luyben-130821092733-phpapp01
Process modelling-simulation-and-control-for-chemical-engineers-luyben-130821092733-phpapp01
Process modelling-simulation-and-control-for-chemical-engineers-luyben-130821092733-phpapp01
Process modelling-simulation-and-control-for-chemical-engineers-luyben-130821092733-phpapp01
Process modelling-simulation-and-control-for-chemical-engineers-luyben-130821092733-phpapp01
Process modelling-simulation-and-control-for-chemical-engineers-luyben-130821092733-phpapp01
Process modelling-simulation-and-control-for-chemical-engineers-luyben-130821092733-phpapp01
Process modelling-simulation-and-control-for-chemical-engineers-luyben-130821092733-phpapp01
Process modelling-simulation-and-control-for-chemical-engineers-luyben-130821092733-phpapp01
Process modelling-simulation-and-control-for-chemical-engineers-luyben-130821092733-phpapp01
Process modelling-simulation-and-control-for-chemical-engineers-luyben-130821092733-phpapp01
Process modelling-simulation-and-control-for-chemical-engineers-luyben-130821092733-phpapp01
Process modelling-simulation-and-control-for-chemical-engineers-luyben-130821092733-phpapp01
Process modelling-simulation-and-control-for-chemical-engineers-luyben-130821092733-phpapp01
Process modelling-simulation-and-control-for-chemical-engineers-luyben-130821092733-phpapp01
Process modelling-simulation-and-control-for-chemical-engineers-luyben-130821092733-phpapp01
Process modelling-simulation-and-control-for-chemical-engineers-luyben-130821092733-phpapp01
Process modelling-simulation-and-control-for-chemical-engineers-luyben-130821092733-phpapp01
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