UID:
almafu_9958084929202883
Umfang:
1 online resource (204 p.)
ISBN:
1-283-52648-4
,
9786613838933
,
0-08-095779-X
Serie:
Mathematics in science and engineering
Inhalt:
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank
Anmerkung:
Description based upon print version of record.
,
Front Cover; The Optimal Design of Chemical Reactors; Copyright Page; Preface; Contents; Chapter 1. Introduction; 1.1. The Principle of Optimality; 1.2. Review of Cognate Work; 1.3. The Scope of the Present Monograph; Chapter 2. The Principal Notions of Dynamic Programming; 2.1. Multistage Decision Processes and the Principle of Optimality; 2.2. The Discrete Deterministic Process; 2.3. The Discrete Stochastic Process; 2.4. The Continuous Deterministic Process; 2.5. The Dynamic Programming Approach to the Calculus of Variations; 2.6. The Use and Interpretation of the Lagrange MuItiplier
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Chapter 3. Mathematical Models for Reactor Design3.1. Systems of Chemical Reactions; 3.2. The Continuous Flow Stirred Tank Reactor; 3.3. The Multibed Adiabatic Reactor; 3.4. The Tubular Reactor; 3.5. The Stirred Tank Sequence as a Model for the Tubular Reactor; 3.6. The Batch Reactor; 3.7. Cooling; Chapter 4. The Objective Function; 4.1. Stoichiometric Objective Functions; 4.2. Material Objective Functions; 4.3. Objective Functions with Operating Costs; 4.4. An Example of Cost Estimation; 4.5. The Relation of the Objective Function to the Optimal Problem
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Chapter 5. The Continuous Flow Stirred Tank Reactor5.1. The Disjoint Character of the Optimal Temperature Policy with a Single Reaction; 5.2. The Sequence of Reactors of Equal Size; 5.3. The Optimal Choice of Temperature and Holding Time with a Single Reaction; 5.4. Parametric Studies; 5.5. Two Consecutive Reactions; 5.6. Denbigh's System of Reactions; 5.7. General Problems with Sequences of Stirred Tanks; 5.8. Sequences of Stirred Tanks with Bypassing of the Feed Stream; 5.9. The Adiabatic Sequence of Reactors with a Single Reaction; Chapter 6. The Multibed Adiabatic Reactor
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6.1. Interchanger Cooling with a Single Reaction6.2. Extended Results of the Simple Model; 6.3. Interchanger Cooling with Simultaneous Reactions; 6.4. Cold Shot Cooling with a Single Reaction; 6.5. Cold Shot Cooling with Simultaneous Reactions; 6.6. Cooling bay an Alien Cold Shot; 6.7. The Removal of Sundry Approximations; Chapter 7. The Tubular Reactor; 7.1. Optimal Temperature Policy with a Single Reaction; 7.2. Alternative Forms of the Optimal Problem with a Single Reaction; 7.3. Two Consecutive Reactions; 7.4. Two Simultaneous Reactions in General; 7.5. The General Problem
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Chapter 8. Stochastic Problems8.1. Optimal Replication of Processes Subject to Failure; 8.2. Stochastic Gold Making; 8.3. Optimal Catalyst Replacement Policies; Chapter 9. The Optimal Operation of Existing Reactors; 9.1. The Stirred Tank Reactor Sequence; 9.2. The Multibed Adiabatic Reactor; 9.3. Control with a Decaying Catalyst; 9.4. The Optimal Control of a Batch Reactor; 9.5. Further Problems in Batch Reactor Control; References; Index
,
English
Weitere Ausg.:
ISBN 0-12-374916-6
Sprache:
Englisch
