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Introduction | |
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Fundamental Principles and Process Model Development | |
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The Role of Models in Process Systems Engineering | |
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The Idea of a Model | |
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Model Application Areas in PSE | |
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Model Classification | |
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Model Characteristics | |
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A Brief Historical Review of Modelling in PSE | |
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Summary | |
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Review Questions | |
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Application Exercises | |
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A Systematic Approach to Model Building | |
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The Process System and the Modelling Goal | |
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Mathematical Models | |
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A Systematic Modelling Procedure | |
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Ingredients of Process Models | |
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Summary | |
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Review Questions | |
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Application Exercises | |
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Conservation Principles | |
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Thermodynamic Principles of Process Systems | |
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Principle of Conservation | |
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Balance Volumes in Process System Applications | |
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Summary | |
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Review Questions | |
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Application Exercises | |
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Constitutive Relations | |
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Transfer Rate Equations | |
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Reaction Kinetics | |
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Thermodynamical Relations | |
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Balance Volume Relations | |
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Equipment and Control Relations | |
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Summary | |
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Review Questions | |
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Application Exercises | |
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Dynamic Models--Lumped Parameter Systems | |
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Characterizing Models and Model Equation Sets | |
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Lumped Parameter Models--Initial Value Problems (IVPs) | |
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Conservation Balances for Mass | |
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Conservation Balances for Energy | |
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Conservation Balances for Momentum | |
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The Set of Conservation Balances for Lumped Systems | |
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Conservation Balances in Intensive Variable Form | |
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Dimensionless Variables | |
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Normalization of Balance Equations | |
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Steady-State Lumped Parameter Systems | |
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Analysis of Lumped Parameter Models | |
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Stability of the Mathematical Problem | |
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Summary | |
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Review Questions | |
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Application Exercises | |
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Solution Strategies for Lumped Parameter Models | |
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Process Engineering Example Problems | |
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Ordinary Differential Equations | |
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Basic Concepts in Numerical Methods | |
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Local Truncation Error and Stability | |
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Stability of the Numerical Method | |
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Key Numerical Methods | |
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Differential-Algebraic Equation Solution Techniques | |
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Summary | |
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Review Questions | |
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Application Exercises | |
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Dynamic Models--Distributed Parameter Systems | |
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Development of DPS Models | |
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Examples of Distributed Parameter Modelling | |
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Classification of DPS Models | |
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Lumped Parameter Models for Representing DPSs | |
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Summary | |
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Review Questions | |
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Application Exercises | |
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Solution Strategies for Distributed Parameter Models | |
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Areas of Interest | |
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Finite Difference Methods | |
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Method of Lines | |
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Method of Weighted Residuals | |
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Orthogonal Collocation | |
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Orthogonal Collocation for Partial Differential Equations | |
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Summary | |
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Review Questions | |
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Application Exercises | |
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Process Model Hierarchies | |
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Hierarchy Driven by the Level of Detail | |
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Hierarchy Driven by Characteristic Sizes | |
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Hierarchy Driven by Characteristic Times | |
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Summary | |
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Further Reading | |
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Review Questions | |
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Application Exercises | |
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Advanced Process Modelling and Model Analysis | |
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Basic Tools for Process Model Analysis | |
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Problem Statements and Solutions | |
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Basic Notions in Systems and Control Theory | |
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Lumped Dynamic Models as Dynamic System Models | |
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State Space Models and Model Linearization | |
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Structural Graphs of Lumped Dynamic Models | |
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Summary | |
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Review Questions | |
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Application Exercises | |
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Data Acquisition and Analysis | |
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Sampling of Continuous Time Dynamic Models | |
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Data Screening | |
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Experiment Design for Parameter Estimation of Static Models | |
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Experiment Design for Parameter Estimation of Dynamic Models | |
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Summary | |
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Further Reading | |
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Review Questions | |
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Application Exercises | |
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Statistical Model Calibration and Validation | |
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Grey-Box Models and Model Calibration | |
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Model Parameter and Structure Estimation | |
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Model Parameter Estimation for Static Models | |
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Identification: Model Parameter and Structure Estimation of Dynamic Models | |
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CSTR: A Case Study of Model Parameter Estimation | |
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Statistical Model Validation via Parameter Estimation | |
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Summary | |
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Further Reading | |
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Review Questions | |
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Application Exercises | |
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Analysis of Dynamic Process Models | |
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Analysis of Basic Dynamical Properties | |
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Analysis of Structural Dynamical Properties | |
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Model Simplification and Reduction | |
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Summary | |
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Further Reading | |
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Review Questions | |
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Application Exercises | |
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Process Modelling for Control and Diagnostic Purposes | |
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Model-Based Process Control | |
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Model-Based Process Diagnosis | |
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Qualitative, Logical and AI Models | |
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Summary | |
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Further Reading | |
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Review Questions | |
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Application Exercises | |
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Modelling Discrete Event Systems | |
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Characteristics and Issues | |
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Approaches to Model Representation | |
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Solution of Discrete Event Dynamic System Models | |
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Analysis of Discrete Event Systems | |
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Summary | |
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Further Reading | |
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Review Questions | |
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Application Exercises | |
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Modelling Hybrid Systems | |
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Hybrid Systems Basics | |
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Approaches to Model Representation | |
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Analysis of Hybrid Systems | |
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Solution of Hybrid System Models | |
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Summary | |
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Further Reading | |
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Review Questions | |
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Application Exercises | |
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Modelling Applications in Process Systems | |
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Copper Converter Dynamics | |
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Destruction of Phenol in Wastewater by Photochemical Reaction | |
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Prefermenter System for Wastewater Treatment | |
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Granulation Circuit Modelling | |
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Industrial Depropanizer using Structural Packing | |
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Summary | |
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Computer Aided Process Modelling | |
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Introduction | |
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Industrial Demands on Computer Aided Modelling Tools | |
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Basic Issues in CAPM Tools | |
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Approaches to CAPM Tool Development | |
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Summary | |
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Empirical Model Building | |
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Introduction | |
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The Modelling Procedure Revisited | |
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Black-Box Modelling | |
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Traps and Pitfalls in Empirical Model Building | |
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Summary | |
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Further Reading | |
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Review Questions | |
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Application Exercises | |
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Basic Mathematic Tools | |
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Random Variables and Their Properties | |
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Hypothesis Testing | |
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Vector and Signal Norms | |
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Matrix and Operator Norms | |
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Graphs | |
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Bibliography | |
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Index | |