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william 1 luyben i willlam process modeling simulation and control ior m fliti chemical engineers second edition l 5 m 1 iail

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mcgraw-hill chemical engineering series editorial advisory board james j carberry profissor of chemical engineering university of notre dame james r fair professor of chemical engineering university of texas austin wiluum p schowalter professor of chemical engineering princeton university matthew tirrell professor of chemical engineering university of minnesota james wei professor of chemical engineering massachusetts institute of technology max s petem emeritus professor of chentical engineering university of colorado building the literature of a profession fifteen prominent chemical engineers first met in new york more than 60 years ago to plan a continuing literature for their rapidly growing profession from industry came such pioneer practitioners as leo h baekeland arthur d little charles l reese john v n dorr m c whitaker and r s mcbride from the universities came such eminent educators as william h walker alfred h white d d jackson j h james warren k lewis and harry a curtis h c parmelee then editor of chemical and metallurgical engineering served as chairman and was joined subsequently by s d kirkpatrick as consulting editor after several meetings this committee submitted its report to the mcgrawhill book company in september 1925 in the report were detailed specifications for a correlated series of more than a dozen texts and reference books which have since become the mcgraw-hill series in chemical engineering and which became the cornerstone of the chemical engineering curriculum from this beginning there has evolved a series of texts surpassing by far the scope and longevity envisioned by the founding editorial board the mcgrawhill series in chemical engineering stands as a unique historical record of the development of chemical engineering education and practice in the series one finds the milestones of the subject s evolution industrial chemistry stoichiometry unit operations and processes thermodynamics kinetics and transfer operations chemical engineering is a dynamic profession and its literature continues to evolve mcgraw-hill and its consulting editors remain committed to a publishing policy that will serve and indeed lead the needs of the chemical engineering profession during the years to come.

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the series bailey and ouii biochemical engineering fundamentals bennett and myers momentum heat amd mass transfer beveridge and schechter optimization theory and practice brodkey and hershey transport phenomena a unified approach carberry chemical and catalytic reaction engineering constantinides applied numerical methods with personal computers cougbanowr and koppel process systems analysis and control douglas conceptual design ofchemical processes edgar and himmelblau optimization ofchemical processes fabien fundamentals of transport phenomena finlayson nonlinear analysis in chemical engineering gates katzer and scbuit chemistry of catalytic processes holland fundamentals of multicomponent distillation holland and liapis computer methods for solving dynamic separation problems katz cornell kobayaski poettmann vary elenbaas aad weinaug handbook of natural gas engineering king separation processes luyben process modeling simulation and control for chemical engineers mccabe smitb j c and harriott unit operations of chemical engineering mickley sberwood and reed applied mathematics in chemical engineering nelson petroleum refinery engineering perry and cbilton editors chemical engineers handbook peters elementary chemical engineering peters and timmerbaus plant design and economics for chemical engineers probstein and hicks synthetic fuels reid prausnitz and sherwood the properties of gases and liquids resnick process analysis and design for chemical engineers satterfield heterogeneous catalysis in practice sberwood pigford aad wilke mass transfer smith b d design of equilibrium stage processes smith j m chemical engineering kinetics smith j m and van ness zntroduction to chemical engineering thermodynamics treybal mass transfer operations vaue-riestra project evolution in the chemical process industries van ness and abbott classical thermodynamics of nonelectrolyte solutions with applications to phase equilibria van winkle distillation volk applied statistics for engineers .j walas reaction kinetics for chemical engineers j wei russell and swartzlander the structure of the chemical processing industries wbitweu and toner conservation of mass and e

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also available from mcgraw-hill schaum s outline series in civil engineering each outline includes basic theory definitions and hundreds of solved problems and supplementary problems with answers current list includes advanced structural analysis basic equations of engineering descriptive geometry dynamic structural analysis engineering mechanics 4th edition fluid dynamics fluid mechanics hydraulics introduction to engineering calculations introductory surveying reinforced concrete design 2d edition space structural analysis statics and strength of materials strength of materials 2d edition structural analysis theoretical mechanics available at your college bookstore -

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process modeling simulation and control for chemical engineers second edition william l luyben process modeling and control center department of chemical engineering lehigh university mcgraw-hill publisbing company new york st louis san francisco auckland bogota caracas hamburg lisbon london madrid mexico milan montreal new delhi oklahoma city paris san juan sho paul0 singapore sydney tokyo toronto

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process modeling simulation and control for chemical engineers international edition 1996 exclusive rights by mcgraw-hill book co singapore for manufacture and export this book cannot be m-exported from the country to which it is consigned by mcgraw-hill 567690bjepmp9432 copyright e 1999 1973 by mcgraw-hill inc all rights reserved except as permitted under the united states copyright act of 1976 no part of this publication may be reproduced or distributed in any form or by any means or stored in a data base or retrieval system u without the prior written permission of the publisher this book was set in times roman the editors were lyn beamesderfer and john m morris the production supervisor was friederich w schulte the cover was designed by john hite project supervision was done by harley editorial services ubrury of congress cataloging-in-publlcatlon data william l luyben 2nd ed p cm bibliography p includes index isbn 6-67-639159-9 1 chemical process-math data processing 3 chemica tp155.7.l66 1 9 6 9 669.2 61-dc19 when ordering this title use isbn 1 process no.deadquisicion

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about the author william l luyben received his b.s in chemical engineering from the pennsylvania state university where he was the valedictorian of the class of 1955 he worked for exxon for five years at the bayway refinery and at the abadan refinery iran in plant technical service and design of petroleum processing units after earning a ph.d in 1963 at the university of delaware dr luyben worked for the engineering department of dupont in process dynamics and control of chemical plants in 1967 he joined lehigh university where he is now professor of chemical engineering and co-director of the process modeling and control center professor luyben has published over 100 technical papers and has authored or coauthored four books professor luyben has directed the theses of over 30 graduate students he is an active consultant for industry in the area of process control and has an international reputation in the field of distillation column control he was the recipient of the beckman education award in 1975 and the instrumqntation technology award in 1969 from the instrument society r of america f y

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this book is dedicated to robert l pigford and page s buckley two authentic pioneers in process modeling and process control

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contents preface 1 1.1 1.2 1.3 1.4 1.5 1.6 xxi introduction examples of the role of process dynamics and control historical background perspective motivation for studying process control general concepts laws and languages of process control 1.6.1 process control laws 1.6.2 languages of process control 1 1 6 7 8 8 11 11 12 part i 2 2.1 mathematical models of chemical engineering systems fundamentals intreduction 2.1.1 uses of mathematical models 2.1.2 scope of coverage 2.1.3 principles of formulation fundamental laws 2.2.1 continuity equations 2.2.2 energy equation 2.2.3 equations of motion 2.2.4 transport equations 2.2.5 equations of state 2.2.6 equilibrium 2.2.7 chemical kinetics problems 15 15 15 16 16 17 17 23 27 31 32 33 36 38 xi 2.2

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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 chemical engineering systems introduction series of isothermal constant-holdup cstrs cstrs with variable holdups two heated tanks gas-phase pressurized cstr nonisothermal cstr single-component vaporizer multicomponent flash drum batch reactor reactor with mass transfer ideal binary distillation column multicomponent nonideal distillation column batch distillation with holdup ph systems 3.14.1 equilibrium-constant models 3.14.2 titration-curve method problems 40 40 41 43 44 45 46 51 54 57 62 64 70 72 74 74 75 77 part ii computer simulation 4 numerical methods 4.1 4.2 4.3 introduction computer programming iterative convergence methods 4.3.1 interval halving 4.3.2 newton-raphson method 4.3.3 false position 4.3.4 explicit convergence methods 4.35 wegstein 4.3.6 muller method numerical integration of ordinary differential equations 4.4.1 explicit numerical integration algorithms 4.4.2 implicit methods problems 89 89 90 91 93 96 100 101 103 103 105 106 113 114 116 116 119 124 129 132 141 141 142 4.4 5 simulation examples 5.1 gravity-flow tank 5.2 three cstrs in series 5.3 nonisothermal cstr 5.4 binary distillation column 5.5 multicomponent distillation column 5.6 variable pressure distillation 5.6.1 approximate variable-pressure model 5.6.2 rigorous variable-pressure model

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contents xlu 5.7 batch reactor 5.8 ternary batch distillation with holdup problems 150 157 162 part iii time-domain dynamics and control 6 time-domain dynamics 6.1 6.2 classification and dethtition linearization and perturbation variables 6.2.1 linearization 6.2.2 perturbation variables 6.3 responses of simple linear systems 6.3.1 first-order linear ordinary differential equation 6.3.2 second-order linear odes with constant coefficients 6.3.3 nth-order linear odes with constant coefficients 6.4 steadystate techniques problems 167 167 171 171 175 177 177 182 192 195 198 205 205 207 211 213 222 226 226 226 227 231 231 234 235 238 253 253 255 257 259 259 261 262 262 263 263 265 7 7.1 corkentional control systems and hardware control instrumentation 7.1.1 sensors 7.1.2 transmitters 7.1.3 control valves 7.1.4 analog and digital controllers 7.1.5 computing and logic devices performance of feedback controllers 7.2.1 specifications for closedloop response 7.2.2 load performance controller tuning 7.3.1 rules of thumb 7.3.2 on-line trial and error 7.3.3 ziegler-nichols method problems 7.2 7.3 8 advanced control systems 8.1 8.2 8.3 8.4 ratio control cascade control computed variable control override control 8.4.1 basic system 8.4.2 reset windup nonlinear and adaptive control 8.5.1 nonlinear control 8.5.2 adaptive control valve-position control feedfonvard control concepts 8.5 8.6 8.7

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xiv contents 8.8 8.9 control system design concepts 8.8.1 general guidelines 8.8.2 trade-offs between steadystate design and control 8.8.3 plant-wide control dynamic matrix control 8.9.1 review of least squares 8.9.2 step-response models 8.9.3 dmc algorithm problems 268 268 273 274 281 281 284 287 288 part iv laplace-domain dynamics and control 9 9.1 laplace-domain dynamics laplace-transformation fundamentals 9.1.1 definition 9.1.2 linearity property 9.2 laplace transformation of important functions 9.2.1 step function 9.2.2 ramp 9.2.3 sine 9.2.4 exponential 9.2.5 exponential multiplied by time 9.2.6 impulse dirac delta function 6 9.3 inversion of laplace transforms 9.4 transfer functions 9.4.1 multiplication by a constant 9.4.2 differentiation with respect to time 9.4.3 integration 9 4 4 deadtime 9.5 examples 9.6 properties of transfer functions 9.6.1 physical realizability 9.6.2 poles and zeros 9.6.3 steadystate gains 9.7 transfer functions for feedback controllers problems 303 303 303 304 304 304 305 306 306 307 307 308 311 312 312 314 315 316 325 325 326 327 329 331 10 10.1 laplace-domain analysis of conventional feedback control systems openloop and closedloop systems 10.1.1 openloop characteristic equation 10.1.2 closedloop characteristic equation and closedloop transfer function stability 10.2.1 routh stability criterion 10.2.2 direct substitution for stability limit 339 340 340 341 345 346 348 10.2

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contents 10.3 performance specifications 10.3.1 steadystate performance 10.3.2 dynamic specifications root locus analysis 10.4.1 definition 10.4.2 construction of root locus curves 10.4.3 examples problems xv 350 350 351 353 353 357 363 367 10.4 11 11.1 laplace-domain analysis of advanced control systems cascade control 11.1.1 series cascade 11.1.2 parallel cascade feedforward control 11.2.1 fundamentals 11.2.2 linear feedforward control 11.2.3 nonlinear feedforward control ipenloop unstable processes 11.3.1 simple systems 11.3.2 effects of lags 11.3.3 pd control 11.3.4 effects of reactor scale-up on controllability processes with inverse response model-based control 11.51 minimal prototype design 11.52 internal model control problems 11.2 11.3 11.4 11.5 376 376 377 382 383 383 384 3 8 391 392 397 397 398 398 402 402 404 407 9 part v frequency-domain dynamics and control 1 2 frequency-domain dynamics 12.1 12.2 12.3 definition basic theorem representation 12.3.1 nyquist plots 12.3.2 bode plots 12.3.3 nichols plots frequency-domain solution techniques problems 415 415 417 420 421 427 440 442 452 12.4 1 3 frequency-domain analysis of closedloop systems 455 13.1 nyquist 13.1.1 13.1.2 13.1.3 stability criterion proof examples representation 456 456 460 468

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