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Process Modeling | |
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Introduction | |
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Motivation | |
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Models | |
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Systems | |
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Background of the Reader | |
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How To Use This Textbook | |
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Courses Where This Textbook Can Be Used | |
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Process Modeling | |
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Background | |
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Balance Equations | |
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Material Balances | |
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Constitutive Relationships | |
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Material and Energy Balances | |
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Distributes Parameter Systems | |
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Dimensionless Models | |
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Explicit Solutions to Dynamic Models | |
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General Form of Dynamic Models | |
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Numerical Techniques | |
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Algebraic Equations | |
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Notations | |
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General Form for a Linear System of Equations | |
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Nonlinear Functions of a Single Variable | |
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MATLAB Routines for Solving Functions of a Single Variable | |
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Multivariable Systems | |
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MATLAB Routines for Systems of Nonlinear Algebraic Equations | |
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Numerical Integration | |
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Background | |
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Euler Integration | |
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Runge-Kutta Integration | |
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MATLAB Integration Routines | |
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Linear Systems Analysis | |
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Linearization of Nonlinear Models: The State-Space Formulation | |
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State Space Models | |
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Linearization of Nonlinear Models | |
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Interpretation of Linearization | |
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Solution of the Zero-Input Form | |
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Solution of the General State-Space Form | |
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MATLAB Routines step and initial | |
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Solving Linear nth Order ODE Models | |
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Background | |
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Solving Homogeneous, Linear ODEs with Constant Coefficients | |
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Solving Nonhomogeneous, Linear ODEs with Constant Coefficients | |
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Equations with Time-Varying Parameters | |
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Routh Stability Criterion-Determining Stability Without Calculating Eigenvalues | |
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An Introduction to Laplace Transforms | |
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Motivation | |
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Definition of the Laplace Transform | |
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Examples of Laplace Transforms | |
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Final and Initial Value Theorems | |
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Application Examples | |
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Table of Laplace Transforms | |
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Transfer Function Analysis of First-Order Systems | |
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Perspective | |
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Responses of First-Order Systems | |
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Examples of Self-Regulating Processes | |
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Integrating Processes | |
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Lead-Lag Models | |
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Transfer Function Analysis of Higher-Order Systems | |
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Responses of Second-Order Systems | |
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Second-Order Systems with Numerator Dynamics | |
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The Effect of Pole-Zero Locations on System Step Responses | |
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Pad Approximation for Deadtime | |
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Converting the Transfer Function Model to State-Space Form | |
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MATLAB Routines for Step and Impulse Response | |
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Matrix Transfer Functions | |
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A Second-Order Example | |
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The General Method | |
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MATLAB Routine ss2tf | |
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Block Diagrams | |
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Introduction to Block Diagrams | |
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Block Diagrams of Systems in Series | |
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Pole-Zero Cancellation | |
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Systems in Series | |
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Blocks in Parallel | |
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Feedback and Recycle Systems | |
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Routh Stability Criterion Applied to Transfer Functions | |
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Simulink | |
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Linear Systems Summary | |
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Background | |
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Linear Boundary Value Problems | |
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Review of Methods for Linear Initial Value Problems | |
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Introduction to Discrete-Time Models | |
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Parameter Estimation of Discrete Linear Systems | |
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Nonlinear Systems Analysis | |
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Phase-Plane Analysis | |
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Background | |
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Linear System Examples | |
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Generalization of Phase-Plane Behavior | |
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Nonlinear Systems | |
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Introduction Nonlinear Dynamics: A Case Study of the Quadratic Map | |
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Background | |
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A Simple Population Growth Model | |
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A More Realistic Population Model | |
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Cobweb Diagrams | |
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Bifurcation and Orbit Diagrams | |
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Stability of Fixed-Point Solutions | |
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Cascade of Period-Doublings | |
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Further Comments on Chaotic Behavior | |
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Bifurcation Behavior of Single ODE Systems | |
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Motivation | |
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Illustration of Bifurcation Behavior | |
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Types of Bifurcations | |
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Bifurcation Behavior of Two-State Systems | |
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Background | |
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Single-Dimensional Bifurcations in the Phase-Plane | |
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Limit Cycle Behavior | |
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The Hopf Bifurcation | |
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Introduction to Chaos: The Lorenz Equations | |
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Introduction | |
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Background | |
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The Lorenz Equations | |
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Stability Analysis of the Lorenz Equations | |
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Numerical Study of the Lorenz Equations | |
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Chaos in Chemical Systems | |
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Other Issues in Chaos | |
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Review And Learning Modules | |
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Module 1 Introduction to MATLAB | |
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Module 2 Review of Matrix Algebra | |
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Module 3 Linear Regression | |
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Module 4 Introduction to SIMULINK | |
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Module 5 Stirred Tank Heaters | |
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Module 6 Absorption | |
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Module 7 Isothermal Continuous Stirred Tank Chemical Reactors | |
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Module 8 Biochemical Reactors | |
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Module 9 Diabatic Continuous Stirred Tank Reactors | |
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Module 10 Ideal Binary Distillation | |
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Index | |