Modeling With Differential Equations In Chemical Engineering

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Modeling with Differential Equations in Chemical Engineering

Stanley M. Walas
Modeling with Differential Equations in Chemical Engineering Book PDF

Author : Stanley M. Walas
Publisher : Boston : Butterworth-Heinemann
Page : 474 pages
File Size : 43,9 Mb
Release : 1991
Category : Mathematics
ISBN : UOM:39015021887685

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Modeling with Differential Equations in Chemical Engineering by Stanley M. Walas Pdf

'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

Mark E. Davis
Numerical Methods and Modeling for Chemical Engineers Book PDF

Author : Mark E. Davis
Publisher : Courier Corporation
Page : 272 pages
File Size : 52,9 Mb
Release : 2013-11-19
Category : Technology & Engineering
ISBN : 9780486782324

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Numerical Methods and Modeling for Chemical Engineers by Mark E. Davis Pdf

This text introduces the quantitative treatment of differential equations arising from modeling physical phenomena in chemical engineering. Coverage includes recent topics such as ODE-IVPs, emphasizing numerical methods and modeling of 1984-era commercial mathematical software.

Applied Mathematics and Modeling for Chemical Engineers

Richard G. Rice,Duong D. Do,James E. Maneval
Applied Mathematics and Modeling for Chemical Engineers Book PDF

Author : Richard G. Rice,Duong D. Do,James E. Maneval
Publisher : John Wiley & Sons
Page : 435 pages
File Size : 40,5 Mb
Release : 2023-03-07
Category : Technology & Engineering
ISBN : 9781119833901

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Applied Mathematics and Modeling for Chemical Engineers by Richard G. Rice,Duong D. Do,James E. Maneval Pdf

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.

Mathematical Modeling

Rutherford Aris
Mathematical Modeling Book PDF

Author : Rutherford Aris
Publisher : Elsevier
Page : 503 pages
File Size : 50,8 Mb
Release : 1999-07-16
Category : Mathematics
ISBN : 9780080511245

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Mathematical Modeling by Rutherford Aris Pdf

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

Linear Mathematical Models in Chemical Engineering

Hjortso Martin Aksel,Wolenski Peter R
Linear Mathematical Models in Chemical Engineering Book PDF

Author : Hjortso Martin Aksel,Wolenski Peter R
Publisher : World Scientific
Page : 640 pages
File Size : 48,5 Mb
Release : 1999-05-06
Category : Technology & Engineering
ISBN : 9789813270893

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Linear Mathematical Models in Chemical Engineering by Hjortso Martin Aksel,Wolenski Peter R Pdf

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

Liliane Maria Ferrareso Lona
A Step by Step Approach to the Modeling of Chemical Engineering Processes Book PDF

Author : Liliane Maria Ferrareso Lona
Publisher : Springer
Page : 173 pages
File Size : 40,6 Mb
Release : 2017-12-15
Category : Science
ISBN : 9783319660479

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A Step by Step Approach to the Modeling of Chemical Engineering Processes by Liliane Maria Ferrareso Lona Pdf

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

Tanase Gh. Dobre,José G. Sanchez Marcano
Chemical Engineering Book PDF

Author : Tanase Gh. Dobre,José G. Sanchez Marcano
Publisher : John Wiley & Sons
Page : 568 pages
File Size : 45,6 Mb
Release : 2007-06-27
Category : Science
ISBN : 9783527611102

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Chemical Engineering by Tanase Gh. Dobre,José G. Sanchez Marcano Pdf

A description of the use of computer aided modeling and simulation in the development, integration and optimization of industrial processes. The two authors elucidate the entire procedure step-by-step, from basic mathematical modeling to result interpretation and full-scale process performance analysis. They further demonstrate similitude comparisons of experimental results from different systems as a tool for broadening the applicability of the calculation methods. Throughout, the book adopts a very practical approach, addressing actual problems and projects likely to be encountered by the reader, as well as fundamentals and solution strategies for complex problems. It is thus equally useful for student and professional engineers and chemists involved in industrial process and production plant design, construction or upgrading.

Applied Mathematics and Modeling for Chemical Engineers

Richard G. Rice
Applied Mathematics and Modeling for Chemical Engineers Book PDF

Author : Richard G. Rice
Publisher : Unknown
Page : 128 pages
File Size : 48,6 Mb
Release : 2012
Category : Chemical engineering
ISBN : 1523111267

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Applied Mathematics and Modeling for Chemical Engineers by Richard G. Rice Pdf

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.

Mathematical Modeling in Chemical Engineering

Anders Rasmuson
Mathematical Modeling in Chemical Engineering Book PDF

Author : Anders Rasmuson
Publisher : Cambridge University Press
Page : 195 pages
File Size : 41,8 Mb
Release : 2014-03-20
Category : Technology & Engineering
ISBN : 9781107049697

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Mathematical Modeling in Chemical Engineering by Anders Rasmuson Pdf

A solid introduction, enabling the reader to successfully formulate, construct, simplify, evaluate and use mathematical models in chemical engineering.

Conservation Equations And Modeling Of Chemical And Biochemical Processes

Said S.E.H. Elnashaie,Parag Garhyan
Conservation Equations And Modeling Of Chemical And Biochemical Processes Book PDF

Author : Said S.E.H. Elnashaie,Parag Garhyan
Publisher : CRC Press
Page : 672 pages
File Size : 54,9 Mb
Release : 2003-03-26
Category : Science
ISBN : 0203911504

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Conservation Equations And Modeling Of Chemical And Biochemical Processes by Said S.E.H. Elnashaie,Parag Garhyan Pdf

Presenting strategies in control policies, this text uses a systems theory approach to predict, simulate and streamline plant operation, conserve fuel and resources, and increase workplace safety in the manufacturing, chemical, petrochemical, petroleum, biochemical and energy industries. Topics of discussion include system theory and chemical/biochemical engineering systems, steady state, unsteady state, and thermodynamic equilibrium, modeling of systems, fundamental laws governing the processes in terms of the state variables, different classifications of physical models, the story of chemical engineering in relation to system theory and mathematical modeling, overall heat balance with single and multiple chemical reactions and single and multiple reactions.

Process Modeling and Simulation for Chemical Engineers

Simant R. Upreti
Process Modeling and Simulation for Chemical Engineers Book PDF

Author : Simant R. Upreti
Publisher : John Wiley & Sons
Page : 368 pages
File Size : 47,9 Mb
Release : 2017-04-05
Category : Technology & Engineering
ISBN : 9781118914656

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Process Modeling and Simulation for Chemical Engineers by Simant R. Upreti Pdf

This book provides a rigorous treatment of the fundamental concepts and techniques involved in process modeling and simulation. The book allows the reader to: (i) Get a solid grasp of “under-the-hood” mathematical results (ii) Develop models of sophisticated processes (iii) Transform models to different geometries and domains as appropriate (iv) Utilize various model simplification techniques (v) Learn simple and effective computational methods for model simulation (vi) Intensify the effectiveness of their research Modeling and Simulation for Chemical Engineers: Theory and Practice begins with an introduction to the terminology of process modeling and simulation. Chapters 2 and 3 cover fundamental and constitutive relations, while Chapter 4 on model formulation builds on these relations. Chapters 5 and 6 introduce the advanced techniques of model transformation and simplification. Chapter 7 deals with model simulation, and the final chapter reviews important mathematical concepts. Presented in a methodical, systematic way, this book is suitable as a self-study guide or as a graduate reference, and includes examples, schematics and diagrams to enrich understanding. End of chapter problems with solutions and computer software available online at www.wiley.com/go/upreti/pms_for_chemical_engineers are designed to further stimulate readers to apply the newly learned concepts.

Applied Mathematical Methods for Chemical Engineers, Second Edition

Norman W. Loney
Applied Mathematical Methods for Chemical Engineers Second Edition Book PDF

Author : Norman W. Loney
Publisher : CRC Press
Page : 482 pages
File Size : 49,8 Mb
Release : 2006-09-22
Category : Science
ISBN : 0849397782

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Applied Mathematical Methods for Chemical Engineers, Second Edition by Norman W. Loney Pdf

Focusing on the application of mathematics to chemical engineering, Applied Mathematical Methods for Chemical Engineers, Second Edition addresses the setup and verification of mathematical models using experimental or other independently derived data. An expanded and updated version of its well-respected predecessor, this book uses worked examples to illustrate several mathematical methods that are essential in successfully solving process engineering problems. The book first provides an introduction to differential equations that are common to chemical engineering, followed by examples of first-order and linear second-order ordinary differential equations (ODEs). Later chapters examine Sturm–Liouville problems, Fourier series, integrals, linear partial differential equations (PDEs), and regular perturbation. The author also focuses on examples of PDE applications as they relate to the various conservation laws practiced in chemical engineering. The book concludes with discussions of dimensional analysis and the scaling of boundary value problems and presents selected numerical methods and available software packages. New to the Second Edition · Two popular approaches to model development: shell balance and conservation law balance · One-dimensional rod model and a planar model of heat conduction in one direction · Systems of first-order ODEs · Numerical method of lines, using MATLAB® and Mathematica where appropriate This invaluable resource provides a crucial introduction to mathematical methods for engineering and helps in choosing a suitable software package for computer-based algebraic applications.

Modeling and Analysis of Chemical Engineering Processes

K. Balu,K. Padmanabhan
Modeling and Analysis of Chemical Engineering Processes Book PDF

Author : K. Balu,K. Padmanabhan
Publisher : I K International Pvt Ltd
Page : 415 pages
File Size : 52,9 Mb
Release : 2007-06-13
Category : Technology & Engineering
ISBN : 9788189866310

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Modeling and Analysis of Chemical Engineering Processes by K. Balu,K. Padmanabhan Pdf

The chemical process industry faces serious problems with regard to new materials and efficient methods of production due to increasing costs of energy, stringent environmental regulations and global competition. A clear understanding of the processes is required in order to solve these problems. One way is through crisp modeling method; another is through an optimal operation of the process to improve profitability and efficiency. The book is in two parts. The first part discusses the methods of modeling chemical engineering processes through well known mathematical methods involving numerical calculations. This includes the recent concepts of Fuzzy logic and neural nets. The second part describes the efficient optimization methods, which are available for the effective application in many chemical processes. This involves methods of search for extrema as well as optimization, with and without constraint relations. Most books on nonlinear programming are of theoretical type, and the exact procedures of computation are often obscure. But in this book, a number of problems have been worked out. In addition to this, computer programs are included for almost all the topics. Due to the intricacy of optimization programs, the flow charts and the program in clear BASIC language have been provided so that the reader can understand the mathematical methods. The book will be useful for students and practising engineers in the field of chemical engineering, biotechnology, environmental engineering, and applied mathematics.

Moving Finite Element Method

Maria do Carmo Coimbra,Alirio Egidio Rodrigues,Jaime Duarte Rodrigues,Rui Jorge Mendes Robalo,Rui Manuel Pires Almeida
Moving Finite Element Method Book PDF

Author : Maria do Carmo Coimbra,Alirio Egidio Rodrigues,Jaime Duarte Rodrigues,Rui Jorge Mendes Robalo,Rui Manuel Pires Almeida
Publisher : CRC Press
Page : 176 pages
File Size : 46,8 Mb
Release : 2016-11-30
Category : Mathematics
ISBN : 9781498723893

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Moving Finite Element Method by Maria do Carmo Coimbra,Alirio Egidio Rodrigues,Jaime Duarte Rodrigues,Rui Jorge Mendes Robalo,Rui Manuel Pires Almeida Pdf

This book focuses on process simulation in chemical engineering with a numerical algorithm based on the moving finite element method (MFEM). It offers new tools and approaches for modeling and simulating time-dependent problems with moving fronts and with moving boundaries described by time-dependent convection-reaction-diffusion partial differential equations in one or two-dimensional space domains. It provides a comprehensive account of the development of the moving finite element method, describing and analyzing the theoretical and practical aspects of the MFEM for models in 1D, 1D+1d, and 2D space domains. Mathematical models are universal, and the book reviews successful applications of MFEM to solve engineering problems. It covers a broad range of application algorithm to engineering problems, namely on separation and reaction processes presenting and discussing relevant numerical applications of the moving finite element method derived from real-world process simulations.

Applied Mathematics and Modeling for Chemical Engineers, Solutions Manual

Richard G. Rice,Duong D. Do,James E. Maneval
Applied Mathematics and Modeling for Chemical Engineers Solutions Manual Book PDF

Author : Richard G. Rice,Duong D. Do,James E. Maneval
Publisher : John Wiley & Sons
Page : 614 pages
File Size : 45,5 Mb
Release : 2023-06-07
Category : Technology & Engineering
ISBN : 9781119833888

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Applied Mathematics and Modeling for Chemical Engineers, Solutions Manual by Richard G. Rice,Duong D. Do,James E. Maneval Pdf

This book is a Solutions Manual to accompany Applied Mathematics and Modeling for Chemical Engineers, Third Edition. There are many examples provided as homework in the original text and the solution manual provides detailed solutions of many of these problems that are in the parent book Applied Mathematics and Modeling for Chemical Engineers, Third Edition.