## Problem Solving in Chemical Engineering with Numerical Methods

Problem Solving in Chemical Engineering with Numerical Methods provides an extensive selection of problems that require numerical solutions from throughout the core subject areas of . Description. A companion textbook for core courses in chemical engineering or in computational methods. This book takes a “nuts and bolts” approach to interactive problem solving, offering solved, partially solved, and unsolved problems in the core subject areas of chemical engineering where standard numerical methods are illustrated and where numerical solutions are typically unfrivbanneu.gability: This title is out of print. efficiencies that solutions using numerical methods can bring to problem solving and modeling of chemical systems. Scope and Content: The workshop presenters will give multiple examples of how numerical problem solving can be integrated into common chemical engineering courses. The PolyMath 6 and revised PolyMathLite

## Cutlip & Shacham, Problem Solving in Chemical Engineering with Numerical Methods | Pearson

Shop now. View Larger Image. Register your product to gain access to bonus material or receive a coupon. Provides realistic problems in all the basic subject areas of chemical engineering which demonstrate the utility of numerical methods. Introduces the application of all the basic numerical methods in the first three chapters and applies them to various fields of chemical engineering in the remaining chapters. Problem Solving in Chemical Engineering with Numerical Methods provides an extensive selection of problems that require numerical solutions from throughout the core subject areas of chemical engineering.

All problems are clearly organized and all necessary data are provided. Key equations are presented or derived. Practical aspects of efficient and effective numerical problem solving are emphasized. Many complete solutions are provided within the text. Basic Principles and Calculations. Regression and Correlation of Data. Advanced Techniques in Problem Solving. Fluid Mechanics. Heat Transfer. Mass Transfer. Chemical Reaction Engineering. Appendix A.

Appendix B. Appendix C. Appendix D. Appendix E. Appendix F. Preface Intended Audience This book is for the chemical engineering student or the professional engineer who is interested in solving problems that require numerical methods by using mathematical software packages on personal computers. This book provides many typical problems throughout the core subject areas of chemical engineering.

Additionally, the "nuts and bolts" or practical applications of numerical methods are presented in **problem solving in chemical engineering with numerical methods** concise form during example problem solving, which gives detailed solutions to selected problems. Background The widespread use of personal computers has led to the development of a variety of tools that can be utilized in the solution of engineering problems.

While there is great potential in the hands of individual PC users, often this potential is not well developed in current engineering problem solving. In the past the computer was used only for the difficult tasks of rigorous modeling and simulation of unit operations, processes, or control systems, while the routine calculations were carried out using hand-held calculators or spreadsheet programs more recentlyusing essentially the same techniques that were used in the slide rule era, **problem solving in chemical engineering with numerical methods**.

Limiting the use of the computer solely to the difficult tasks was justified before the introduction of interactive numerical packages because the use of the computer was very time consuming.

A typical computer assignment in that era would require the student to carry out the following tasks: 1 Derive the model equations for the problem at hand, 2 find an appropriate numerical method to solve the model, 3 write and debug a FORTRAN program to solve the problem using the selected numerical algorithm, and 4 analyze the results for validity and precision.

It was soon recognized that the second and third tasks of the solution were minor contributions to the learning of the subject matter in most chemical engineering courses, but they were actually the most time consuming and frustrating parts of a computer assignment.

The computer enables students to solve realistic problems, but the time spent on the technical details that were of minor relevancy to the subject matter was much too long. The introduction of interactive numerical software packages brought about a major change in chemical engineering calculations. This change has been called a "paradigm shift" by Fogler. The interactive program provides accurate solutions to these equations in a short time, displaying the results in graphical and numerical forms.

The meaning of the paradigm shift, however, is that using the old calculation techniques with the new computer tools brings very little benefit. This is emphasized in the following observation made by deNevers and Seader1: "Since the advent of digital computers, textbooks have slowly migrated toward computer solutions of examples and homework problems, but in many cases the nature of the examples and problems has been retained so that they can be solved with or without a computer.

Thus the full benefits of a computer solution can be gained even for routine, simple problems, not just for complicated ones. In spite of many available numerical problem-solving packages, advanced problem solving via personal computers continues to be under utilized in chemical engineering education. A recent survey by Jones5 has indicated that "across the country, computers are usually not used effectively in undergraduate engineering science courses.

Often they are not used at all. Problem solving approaches and calculation methods are little influenced by the availability of computers. First, many of **problem solving in chemical engineering with numerical methods** current engineering textbooks and reference books have been very slow to react to the enhanced problem-solving capabilities that are currently available.

Unfortunately, *problem solving in chemical engineering with numerical methods*, the current textbooks in **problem solving in chemical engineering with numerical methods** engineering subject areas have been slow to react to this emerging capability. The lack of properly framed standard problems in various engineering disciplines is accompanied by a lack of faculty interest in the use of new tools and the creation of appropriate problems that utilize these tools.

Another important reason for the lack of mathematical software usage for advanced problem solving is the actual cost of the software for individual students. While there are many educational benefits to having problem solving close at *problem solving in chemical engineering with numerical methods* on student-owned personal computers, often the cost to the individual students is prohibitively high.

Fortunately, the costs to major colleges and universities for site licenses for the use of software only in computer labs is much more reasonable. However, this pricing structure forces students to use problem-solving software only in computer labs and does not allow interactive use of the software at other locations.

Thus advanced problem-solving capabilities are not currently as close at hand as the nearest personal computer. Finally, there is a significant learning curve to most of the advanced problem-solving software. This requires users to become familiar with a command structure that is often not intuitive and thus difficult to use. This is a significant impediment to student, professional, **problem solving in chemical engineering with numerical methods**, and faculty use of many packages.

Purposes of This Book The main purpose of this book is to provide a comprehensive selection of chemical engineering problems that require numerical solutions. Many problems are completely or partially solved for the reader. This text is intended to be supplementary to most of the current chemical engineering textbooks, which do not emphasize numerical solutions to example and posed problems. This book is highly indexed, as indicated in Tables at the end of this preface.

The reader can only consider a particular subject area of interest or the application of a particular numerical method in actual problem solving. In either area, problems or methods, the book gives concise and easy-to-follow treatments.

The problems are presented in a general way so that various numerical problem-solving computer packages can be utilized. Many of the problems are completely solved so as to demonstrate a particular **problem solving in chemical engineering with numerical methods** approach. In other cases, problem-solving skills of the reader need to be applied. This book has been designed for use with any mathematical problem solving package.

The reader is encouraged to use the mathematical software package of his or her choice to achieve problem solutions. General Problem Format All problems presented in the book have the same general *problem solving in chemical engineering with numerical methods* for the convenience of the reader.

The concise problem topic is first followed by a listing of the chemical engineering concepts demonstrated by the problem. Then the numerical methods utilized in the solution are indicated just before the detailed problem statement. Physical *problem solving in chemical engineering with numerical methods* are either given directly in the problem or in the appendices. Students Students will find the chapter organization of the book, by chemical engineering subject areas, to be convenient.

The problems are organized in the typical manner in which they are covered in most courses. Complete solutions are given to many of the problems that demonstrate the appropriate numerical methods in problem solving. Practice and application of various numerical methods can be accomplished by working through the problems as listed in Table 9. Practicing Engineers Engineers in the workplace face ever-increasing productivity demands. Thus the concise framework of the problems in this book should aid in the proper formulation of a problem solution using numerical methods.

Faculty This book can assist faculty members in introducing numerical methods into their courses. This book is intended to provide supplementary problems that can be assigned to students. Many of the problems can be easily extended to open-ended problem solving so that critical thinking skills can be developed.

Chemical Engineering Departments Departments are encouraged to consider adopting this book during the first introductory course in chemical engineering and then utilize the book as a supplement for many of the following courses in the curriculum. This allows an integrated approach to the use of numerical methods throughout the curriculum. This approach can be helpful in satisfying the Accreditation Board for Engineering and Technology ABET requirements for appropriate computer use in undergraduate studies.

A first course in numerical methods can also utilize many of the problems as relevant examples. In this application, the book will supplement a standard numerical methods textbook. Students will find the problems in this book to be more interesting than the strictly mathematical or simplified problems presented in many standard numerical analysis textbooks. Detailed writeups and the files to solve these problems with these packages are included on the CD-ROM.

The icon at the beginning of this paragraph is used to designate a CD-ROM resource throughout the book. The chapter introduces the reader to the subject material that is typically taught in a first chemical engineering course in most universities called Material and Energy Balance, or Stoichiometry. This material can also be used in a separate "Introduction to Personal Computers" course that can be given in parallel to the first chemical engineering course.

For the past three years at Ben-Gurion University, the material from Chapter 1 of this book has been taught in the second semester of the first year, in parallel with the second part of the material and energy balance course. During the lectures and lab sessions, Problems 1, **problem solving in chemical engineering with numerical methods**.

Chapters 2 and 3 are not associated with any particular required course in the chemical engineering curriculum. Chapter 2, "Regression and Correlation of Data," presents advanced statistical techniques for regression of experimental data, *problem solving in chemical engineering with numerical methods*. Students can be encouraged to complete this chapter as part of a statistics course or as preparation for the chemical engineering laboratory.

Chapter 3, "Advanced Techniques in Problem Solving," provides the background necessary for solution of more complicated problems, such as stiff differential equations, two-point boundary value problems, and systems of differential-algebraic equations using interactive numerical software packages. This chapter can be integrated into the curriculum or covered as part of a separate numerical analysis course. The titles of the remaining chapters clearly indicate in which courses the problems can be used.

The fully or partially solved problems demonstrate solution methods that are not included in regular textbooks. Some of them also show advanced solution techniques that may not be obvious to the casual user, *problem solving in chemical engineering with numerical methods*. Table 3 lists these special techniques and the problem numbers in which they are demonstrated or required.

Problem Solving in Chemical Engineering with Numerical Methods provides an extensive selection of problems that require numerical solutions from throughout the core subject areas of . --An invaluable reference book that discusses and illustrates practical numerical problem solving in the core subject areas of Chemical Engineering. This book provides an extensive selection of problems that require numerical solutions from throughout the core subject areas of chemical engineering. efficiencies that solutions using numerical methods can bring to problem solving and modeling of chemical systems. Scope and Content: The workshop presenters will give multiple examples of how numerical problem solving can be integrated into common chemical engineering courses. The PolyMath 6 and revised PolyMathLite