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