Matlab Applications In Chemical Engineering

Applications of numerical mathematics and scientific computing to chemical engineering.

This book addresses the applications of MATLAB® and Simulink in the solution of chemical engineering problems. By classifying the problems into seven different categories, the author organizes this book as follows: Chapter One - Solution of a System of Linear Equations Chapter Two - Solution of Nonlinear Equations Chapter Three - Interpolation, Differentiation and Integration Chapter Four- Numerical Solution of Ordinary Differential Equations Chapter Five - Numerical solution of Partial Differential Equations Chapter Six - Process Optimization Chapter Seven - Parameter Estimation Each chapter is arranged in four major parts. In the first part, the basic problem patterns that can be solved with MATLAB® are presented. The second part describes how to apply MAT-LAB® commands to solve the formulated problems in the field of chemical engineering. In the third and the fourth parts, exercises and summary of MATLAB® instructions are provided, respectively. The description of the chemical engineering example follows the sequence of problem formulation, model analysis, MATLAB® program design, execution results, and discussion. In this way, learners are first aware of the basic problem patterns and the underlying chemical engineering principles, followed by further familiarizing themselves with the relevant MATLAB® instructions and programming skills. Readers are encouraged to do exercises to practice their problem-solving skills and deepen the fundamental knowledge of chemical engineering and relevant application problems. The table of contents is listed below: Chapter 1: Solution of a System of Linear Equations 1 1.1 Properties of linear equation systems and the relevant MATLAB commands 1 1.2 Chemical engineering examples 10 1.3 Exercises 43 1.4 Summary of the MATLAB commands related to this chapter 48 Chapter 2: Solution of Nonlinear Equations 51 2.1 Relevant MATLAB commands and the Simulink solution interface 51 2.2 Chemical engineering examples 70 2.3 Exercises 103 2.4 Summary of MATLAB commands related to this chapter 122 Chapter 3: Interpolation, Differentiation, and Integration 125 3.1 Interpolation commands in MATLAB 125 3.2 Numerical differentiation 131 3.3 Numerical integration 153 3.4 Chemical engineering examples 157 3.5 Exercises 183 3.6 Summary of the MATLAB commands related to this chapter 195 Chapter 4: Numerical Solution of Ordinary Differential Equations 197 4.1 Initial value problems for ordinary differential equations 197 4.2 Higher-order ordinary differential equations 222 4.3 Stiff differential equations 227 4.4 Differential-algebraic equation system 232 4.5 Boundary-valued ordinary differential equations 236 4.6 Chemical engineering examples 254 4.7 Exercises 285 4.8 Summary of the MATLAB commands related to this chapter 308 Chapter 5: Numerical Solution of Partial Differential Equations 311 5.1 Classifications of PDEs 311 5.2 The MATLAB PDE toolbox 316 5.3 Chemical engineering examples 341 5.4 Exercises 388 5.5 Summary of the MATLAB commands related to this chapter 397 Chapter 6: Process Optimization 399 6.1 The optimization problem and the relevant MATLAB commands 399 6.2 Chemical engineering examples 448 6.3 Exercises 481 6.4 Summary of the MATLAB commands related to this chapter 501 Chapter 7: Parameter Estimation 503 7.1 Parameter estimation using the least-squares method 503 7.2 Chemical engineering examples 517 7.3 Exercises 549 7.4 Summary of the MATLAB commands related to this chapter 560 References 563 Index 569

Master numerical methods using MATLAB, today's leading software for problem solving. This complete guide to numerical methods in chemical engineering is the first to take full advantage of MATLAB's powerful calculation environment. Every chapter contains several examples using general MATLAB functions that implement the method and can also be applied to many other problems in the same category. The authors begin by introducing the solution of nonlinear equations using several standard approaches, including methods of successive substitution and linear interpolation; the Wegstein method, the Newton-Raphson method; the Eigenvalue method; and synthetic division algorithms. With these fundamentals in hand, they move on to simultaneous linear algebraic equations, covering matrix and vector operations; Cramer's rule; Gauss methods; the Jacobi method; and the characteristic-value problem. Additional coverage includes: Finite difference methods, and interpolation of equally and unequally spaced points Numerical differentiation and integration, including differentiation by backward, forward, and central finite differences; Newton-Cotes formulas; and the Gauss Quadrature Two detailed chapters on ordinary and partial differential equations Linear and nonlinear regression analyses, including least squares, estimated vector of parameters, method of steepest descent, Gauss-Newton method, Marquardt Method, Newton Method, and multiple nonlinear regression The numerical methods covered here represent virtually all of those commonly used by practicing chemical engineers. The focus on MATLAB enables readers to accomplish more, with less complexity, than was possible with traditional FORTRAN. For those unfamiliar with MATLAB, a brief introduction is provided as an Appendix. Over 60+ MATLAB examples, methods, and function scripts are covered, and all of them are included on the book's CD

Chemical Engineering Computation with MATLAB®, Second Edition continues to present basic to advanced levels of problem-solving techniques using MATLAB as the computation environment. The Second Edition provides even more examples and problems extracted from core chemical engineering subject areas and all code is updated to MATLAB version 2020. It also includes a new chapter on computational intelligence and: Offers exercises and extensive problem-solving instruction and solutions for various problems Features solutions developed using fundamental principles to construct mathematical models and an equation-oriented approach to generate numerical results Delivers a wealth of examples to demonstrate the implementation of various problem-solving approaches and methodologies for problem formulation, problem solving, analysis, and presentation, as well as visualization and documentation of results Includes an appendix offering an introduction to MATLAB for readers unfamiliar with the program, which will allow them to write their own MATLAB programs and follow the examples in the book Provides aid with advanced problems that are often encountered in graduate research and industrial operations, such as nonlinear regression, parameter estimation in differential systems, two-point boundary value problems and partial differential equations and optimization This essential textbook readies engineering students, researchers, and professionals to be proficient in the use of MATLAB to solve sophisticated real-world problems within the interdisciplinary field of chemical engineering. The text features a solutions manual, lecture slides, and MATLAB program files._

A practical, professional guide to MATLAB computational techniques and engineering applications MATLAB Numerical Methods with Chemical Engineering Applications shows you, step by step, how to use MATLAB® to model and simulate physical problems in the chemical engineering realm. Written for MATLAB 7.11, this hands-on resource contains concise explanations of essential MATLAB commands, as well as easy-to-follow instructions for using the programming features, graphical capabilities, and desktop interface. Every step needed toward the final solution is algorithmically explained via snapshots of the MATLAB platform in parallel with the text. End-of-chapter problems help you practice what you've learned. Master this powerful computational tool using this detailed, self-teaching guide. COVERAGE INCLUDES: MATLAB basics Matrices MATLAB scripting language: M-file Image and image analysis Curve-fitting Numerical integration Solving differential equations A system of algebraic equations Statistics Chemical engineering applications MATLAB Graphical User Interface Design Environment (GUIDE)

While teaching the Numerical Methods for Engineers course over the last 15 years, the author found a need for a new textbook, one that was less elementary, provided applications and problems better suited for chemical engineers, and contained instruction in Visual Basic® for Applications (VBA). This led to six years of developing teaching notes that have been enhanced to create the current textbook, Numerical Methods for Chemical Engineers Using Excel®, VBA, and MATLAB®. Focusing on Excel gives the advantage of it being generally available, since it is present on every computer—PC and Mac—that has Microsoft Office installed. The VBA programming environment comes with Excel and greatly enhances the capabilities of Excel spreadsheets. While there is no perfect programming system, teaching this combination offers knowledge in a widely available program that is commonly used (Excel) as well as a popular academic software package (MATLAB). Chapters cover nonlinear equations, Visual Basic, linear algebra, ordinary differential equations, regression analysis, partial differential equations, and mathematical programming methods. Each chapter contains examples that show in detail how a particular numerical method or programming methodology can be implemented in Excel and/or VBA (or MATLAB in chapter 10). Most of the examples and problems presented in the text are related to chemical and biomolecular engineering and cover a broad range of application areas including thermodynamics, fluid flow, heat transfer, mass transfer, reaction kinetics, reactor design, process design, and process control. The chapters feature "Did You Know" boxes, used to remind readers of Excel features. They also contain end-of-chapter exercises, with solutions provided.

Designed for chemical engineering students and industry professionals, this book shows how to write reusable computer programs. Written in the three languages (C, C++, and MATLAB), it is accompanied by a CD-ROM featuring source code, executables, figures, and simulations. It also explains each program in detail.

This interdisciplinary book presents numerical techniques needed for chemical and biological engineers using Matlab. The book begins by exploring general cases, and moves on to specific ones. The text includes a large number of detailed illustrations, exercises and industrial examples. The book provides detailed mathematics and engineering background in the appendixes, including an introduction to Matlab. The text will be useful to undergraduate students in chemical/biological engineering, and in applied mathematics and numerical analysis.