Modeling With Differential Equations In Chemical Engineering

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Modeling With Differential Equations In Chemical Engineering
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Author : Stanley M. Walas
language : en
Publisher: Boston : Butterworth-Heinemann
Release Date : 1991
Modeling With Differential Equations In Chemical Engineering written by Stanley M. Walas and has been published by Boston : Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
'Modelling with Differential Equations in Chemical Engineering' covers the modelling of rate processes of engineering in terms of differential equations. While it includes the purely mathematical aspects of the solution of differential equations, the main emphasis is on the derivation and solution of major equations of engineering and applied science. Methods of solving differential equations by analytical and numerical means are presented in detail with many solved examples, and problems for solution by the reader. Emphasis is placed on numerical and computer methods of solution. A key chapter in the book is devoted to the principles of mathematical modelling. These principles are applied to the equations in important engineering areas. The major disciplines covered are thermodynamics, diffusion and mass transfer, heat transfer, fluid dynamics, chemical reactions, and automatic control. These topics are of particular value to chemical engineers, but also are of interest to mechanical, civil, and environmental engineers, as well as applied scientists. The material is also suitable for undergraduate and beginning graduate students, as well as for review by practising engineers.
Numerical Methods And Modeling For Chemical Engineers
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Author : Mark E. Davis
language : en
Publisher: Courier Corporation
Release Date : 2013-01-01
Numerical Methods And Modeling For Chemical Engineers written by Mark E. Davis and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-01 with Technology & Engineering categories.
"Geared toward advanced undergraduates or graduate students of chemical engineering studying applied mathematics, this text introduces the quantitative treatment of differential equations arising from modeling physical phenomena in chemical engineering. Coverage includes topics such as ODE-IVPs, placing emphasis on numerical methods and modeling implemented in commercial mathematical software available in 1985"--
Modeling With Differential Equations In Chemical Engineering
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Author : Stanley M. Walas
language : en
Publisher:
Release Date : 2000
Modeling With Differential Equations In Chemical Engineering written by Stanley M. Walas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Chemical engineering categories.
Applied Mathematics And Modeling For Chemical Engineers
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Author : Richard G. Rice
language : en
Publisher: John Wiley & Sons
Release Date : 2023-03-21
Applied Mathematics And Modeling For Chemical Engineers written by Richard G. Rice and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-21 with Technology & Engineering categories.
Understand the fundamentals of applied mathematics with this up-to-date introduction Applied mathematics is the use of mathematical concepts and methods in various applied or practical areas, including engineering, computer science, and more. As engineering science expands, the ability to work from mathematical principles to solve and understand equations has become an ever more critical component of engineering fields. New engineering processes and materials place ever-increasing mathematical demands on new generations of engineers, who are looking more and more to applied mathematics for an expanded toolkit. Applied Mathematics and Modeling for Chemical Engineers provides this toolkit in a comprehensive and easy-to-understand introduction. Combining classical analysis of modern mathematics with more modern applications, it offers everything required to assess and solve mathematical problems in chemical engineering. Now updated to reflect contemporary best practices and novel applications, this guide promises to situate readers in a 21st century chemical engineering field in which direct knowledge of mathematics is essential. Readers of the third edition of Applied Mathematics and Modeling for Chemical Engineers will also find: Detailed treatment of ordinary differential equations (ODEs) and partial differential equations (PDEs) and their solutions New material concerning approximate solution methods like perturbation techniques and elementary numerical solutions Two new chapters dealing with Linear Algebra and Applied Statistics Applied Mathematics and Modeling for Chemical Engineers is ideal for graduate and advanced undergraduate students in chemical engineering and related fields, as well as instructors and researchers seeking a handy reference.
Applied Mathematics And Modeling For Chemical Engineers
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Author : Richard G. Rice
language : en
Publisher:
Release Date : 2012
Applied Mathematics And Modeling For Chemical Engineers written by Richard G. Rice and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Chemical engineering categories.
This book combines the classical analysis and modern applications of applied mathematics for chemical engineers. The book introduces traditional techniques for solving ordinary differential equations (ODEs), adding new material on approximate solution methods such as perturbation techniques and elementary numerical solutions. It also includes analytical methods to deal with important classes of finite-difference equations. The last half discusses numerical solution techniques and partial differential equations (PDEs). The reader will then be equipped to apply mathematics in the formulation of problems in chemical engineering. Like the first edition, there are many examples provided as homework and worked examples.
Linear Mathematical Models In Chemical Engineering Second Edition
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Author : Martin Aksel Hjortso
language : en
Publisher: World Scientific
Release Date : 2018-07-13
Linear Mathematical Models In Chemical Engineering Second Edition written by Martin Aksel Hjortso and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-13 with Technology & Engineering categories.
Mathematics remains a core area of engineering. Formulating and analyzing mathematical models of basic engineering systems is an essential skill that all engineering students should endeavor to acquire.This book will serve as an excellent introduction to linear mathematics for engineering students, both seniors and graduate students. It is the result of a collaboration between a chemical engineer and a mathematician, both of whom have taught classes on modelling and applied mathematics. It provides a broad collection of chemical engineering modelling examples to train students in model formulation and model simplification as well as give a thorough coverage of the mathematical tools used to analyze and solve linear chemical engineering models.Solution manual is provided for free to instructors who adopt this textbook. Please send your request to [email protected].
A Step By Step Approach To The Modeling Of Chemical Engineering Processes
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Author : Liliane Maria Ferrareso Lona
language : en
Publisher: Springer
Release Date : 2017-12-15
A Step By Step Approach To The Modeling Of Chemical Engineering Processes written by Liliane Maria Ferrareso Lona and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-15 with Science categories.
This book treats modeling and simulation in a simple way, that builds on the existing knowledge and intuition of students. They will learn how to build a model and solve it using Excel. Most chemical engineering students feel a shiver down the spine when they see a set of complex mathematical equations generated from the modeling of a chemical engineering system. This is because they usually do not understand how to achieve this mathematical model, or they do not know how to solve the equations system without spending a lot of time and effort. Trying to understand how to generate a set of mathematical equations to represent a physical system (to model) and solve these equations (to simulate) is not a simple task. A model, most of the time, takes into account all phenomena studied during a Chemical Engineering course. In the same way, there is a multitude of numerical methods that can be used to solve the same set of equations generated from the modeling, and many different computational languages can be adopted to implement the numerical methods. As a consequence of this comprehensiveness and combinatorial explosion of possibilities, most books that deal with this subject are very extensive and embracing, making need for a lot of time and effort to go through this subject. It is expected that with this book the chemical engineering student and the future chemical engineer feel motivated to solve different practical problems involving chemical processes, knowing they can do that in an easy and fast way, with no need of expensive software.
Chemical Engineering Dynamics
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Author : John Ingham
language : en
Publisher: John Wiley & Sons
Release Date : 2008-02-08
Chemical Engineering Dynamics written by John Ingham and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-08 with Technology & Engineering categories.
In this book, the modelling of dynamic chemical engineering processes is presented in a highly understandable way using the unique combination of simplified fundamental theory and direct hands-on computer simulation. The mathematics is kept to a minimum, and yet the nearly 100 examples supplied on www.wiley-vch.de illustrate almost every aspect of chemical engineering science. Each example is described in detail, including the model equations. They are written in the modern user-friendly simulation language Berkeley Madonna, which can be run on both Windows PC and Power-Macintosh computers. Madonna solves models comprising many ordinary differential equations using very simple programming, including arrays. It is so powerful that the model parameters may be defined as "sliders", which allow the effect of their change on the model behavior to be seen almost immediately. Data may be included for curve fitting, and sensitivity or multiple runs may be performed. The results can be seen simultaneously on multiple-graph windows or by using overlays. The resultant learning effect of this is tremendous. The examples can be varied to fit any real situation, and the suggested exercises provide practical guidance. The extensive experience of the authors, both in university teaching and international courses, is reflected in this well-balanced presentation, which is suitable for the teacher, the student, the chemist or the engineer. This book provides a greater understanding of the formulation and use of mass and energy balances for chemical engineering, in a most stimulating manner. This book is a third edition, which also includes biological, environmental and food process examples.
Mathematical Modeling
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Author : Rutherford Aris
language : en
Publisher: Elsevier
Release Date : 1999-07-16
Mathematical Modeling written by Rutherford Aris and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-07-16 with Mathematics categories.
Mathematical modeling is the art and craft of building a system of equations that is both sufficiently complex to do justice to physical reality and sufficiently simple to give real insight into the situation. Mathematical Modeling: A Chemical Engineer's Perspective provides an elementary introduction to the craft by one of the century's most distinguished practitioners. Though the book is written from a chemical engineering viewpoint, the principles and pitfalls are common to all mathematical modeling of physical systems. Seventeen of the author's frequently cited papers are reprinted to illustrate applications to convective diffusion, formal chemical kinetics, heat and mass transfer, and the philosophy of modeling. An essay of acknowledgments, asides, and footnotes captures personal reflections on academic life and personalities. - Describes pitfalls as well as principles of mathematical modeling - Presents twenty examples of engineering problems - Features seventeen reprinted papers - Presents personal reflections on some of the great natural philosophers - Emphasizes modeling procedures that precede extensive calculations
Introduction To Modeling And Numerical Methods For Biomedical And Chemical Engineers
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Author : Edward Gatzke
language : en
Publisher: Springer Nature
Release Date : 2021-09-02
Introduction To Modeling And Numerical Methods For Biomedical And Chemical Engineers written by Edward Gatzke and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-02 with Technology & Engineering categories.
This textbook introduces the concepts and tools that biomedical and chemical engineering students need to know in order to translate engineering problems into a numerical representation using scientific fundamentals. Modeling concepts focus on problems that are directly related to biomedical and chemical engineering. A variety of computational tools are presented, including MATLAB, Excel, Mathcad, and COMSOL, and a brief introduction to each tool is accompanied by multiple computer lab experiences. The numerical methods covered are basic linear algebra and basic statistics, and traditional methods like Newton’s method, Euler Integration, and trapezoidal integration. The book presents the reader with numerous examples and worked problems, and practice problems are included at the end of each chapter.