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.

Numerical Modeling in Biomedical Engineering brings together the integrative set of computational problem solving tools important to biomedical engineers. Through the use of comprehensive homework exercises, relevant examples and extensive case studies, this book integrates principles and techniques of numerical analysis. Covering biomechanical phenomena and physiologic, cell and molecular systems, this is an essential tool for students and all those studying biomedical transport, biomedical thermodynamics & kinetics and biomechanics. - Supported by Whitaker Foundation Teaching Materials Program; ABET-oriented pedagogical layout - Extensive hands-on homework exercises

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

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)

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.

Applications of numerical mathematics and scientific computing to chemical engineering.

Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology—and even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a key role. This volume concentrates on reviewing the most relevant contemporary applications of chaotic nonlinear systems as they apply to the various cutting-edge branches of engineering. The book covers the theory as applied to robotics, electronic and communication engineering (for example chaos synchronization and cryptography) as well as to civil and mechanical engineering, where its use in damage monitoring and control is explored). Featuring contributions from active and leading research groups, this collection is ideal both as a reference and as a ‘recipe book’ full of tried and tested, successful engineering applications

This monograph presents teaching material in the field of differential equations while addressing applications and topics in electrical and biomedical engineering primarily. The book contains problems with varying levels of difficulty, including Matlab simulations. The target audience comprises advanced undergraduate and graduate students as well as lecturers, but the book may also be beneficial for practicing engineers alike.

The book presents a series of articles devoted to modeling, simulation, and optimization of processes, mainly chemical. General methods for process modeling and numerical simulation are described with flowsheeting. Population balances are addressed in detail with application to crystal production; energy saving is frequently optimized, including exergy analysis. The coupling between process simulation and computational fluid dynamics is studied for air classification and bubble columns. Pressure swing adsorption, reactive distillation, and nanofiltration are explained in general and applied to particular processes. The synthesis of carbon dots is solved by the design of experiments method. A safety study addresses the consequences of gas explosion.

The book describes the basic principles of transforming nano-technology into nano-engineering with a particular focus on chemical engineering fundamentals. This book provides vital information about differences between descriptive technology and quantitative engineering for students as well as working professionals in various fields of nanotechnology. Besides chemical engineering principles, the fundamentals of nanotechnology are also covered along with detailed explanation of several specific nanoscale processes from chemical engineering point of view. This information is presented in form of practical examples and case studies that help the engineers and researchers to integrate the processes which can meet the commercial production. It is worth mentioning here that, the main challenge in nanostructure and nanodevices production is nowadays related to the economic point of view. The uniqueness of this book is a balance between important insights into the synthetic methods of nano-structures and nanomaterials and their applications with chemical engineering rules that educates the readers about nanosclale process design, simulation, modelling and optimization. Briefly, the book takes the readers through a journey from fundamentals to frontiers of engineering of nanoscale processes and informs them about industrial perspective research challenges, opportunities and synergism in chemical Engineering and nanotechnology. Utilising this information the readers can make informed decisions on their career and business.