Cover for Applications of Markov Chains in Chemical Engineering

Applications of Markov Chains in Chemical Engineering

Book1998

Authors:

Abraham Tamir

Applications of Markov Chains in Chemical Engineering

Book1998

 

Cover for Applications of Markov Chains in Chemical Engineering

Authors:

Abraham Tamir

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Book description

Markov chains make it possible to predict the future state of a system from its present state ignoring its past history. Surprisingly, despite the widespread use of Markov chains i ... read full description

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  2. Book chapterAbstract only

    Chapter 0 - Biblical origins and artistic demonstrations of Markov chains a humorous introduction

    Pages 1-5

  3. Book chapterAbstract only

    Chapter 1 - Why write this book?

    Pages 6-10

  4. Book chapterAbstract only

    Chapter 2 - Fundamentals of Markov chains

    Pages 11-185

  5. Book chapterAbstract only

    Chapter 3 - Application of Markov chains in chemical reactions

    Pages 186-333

  6. Book chapterAbstract only

    Chapter 4 - Application of Markov chains in chemical reactors

    Pages 334-497

  7. Book chapterAbstract only

    Chapter 5 - Applications of Markov chains in chemical processes

    Pages 498-589

  8. Book chapterNo access

    Nomenclature

    Pages 590-598

  9. Book chapterNo access

    References

    Pages 599-604

About the book

Description

Markov chains make it possible to predict the future state of a system from its present state ignoring its past history. Surprisingly, despite the widespread use of Markov chains in many areas of science and technology, their applications in chemical engineering have been relatively meager. A possible reason for this phenomenon might be that books containing material on this subject have been written in such a way that the simplicity of Markov chains has been shadowed by the tedious mathematical derivations. Thus, the major objective of writing this book has been to try to change this situation.

There are many advantages, detailed in Chapter 1, of using the discrete Markov-chain model in chemical engineering. Probably, the most important advantage is that physical models can be presented in a unified description via state vector and a one-step transition probability matrix. Consequently, a process is demonstrated solely by the probability of a system to occupy or not occupy a state.

The book has been written in an easy and understandable form, where complex mathematical derivations are abandoned. The fundamentals of Markov chains are presented in Chapter 2 with examples from the bible, art and real life problems. An extremely wide collection is given of examples viz., reactions, reactors, reactions and reactors as well as combined processes, including their solution and a graphical presentation of it, all of which demonstrates the usefulness of applying Markov chains in chemical engineering.

Markov chains make it possible to predict the future state of a system from its present state ignoring its past history. Surprisingly, despite the widespread use of Markov chains in many areas of science and technology, their applications in chemical engineering have been relatively meager. A possible reason for this phenomenon might be that books containing material on this subject have been written in such a way that the simplicity of Markov chains has been shadowed by the tedious mathematical derivations. Thus, the major objective of writing this book has been to try to change this situation.

There are many advantages, detailed in Chapter 1, of using the discrete Markov-chain model in chemical engineering. Probably, the most important advantage is that physical models can be presented in a unified description via state vector and a one-step transition probability matrix. Consequently, a process is demonstrated solely by the probability of a system to occupy or not occupy a state.

The book has been written in an easy and understandable form, where complex mathematical derivations are abandoned. The fundamentals of Markov chains are presented in Chapter 2 with examples from the bible, art and real life problems. An extremely wide collection is given of examples viz., reactions, reactors, reactions and reactors as well as combined processes, including their solution and a graphical presentation of it, all of which demonstrates the usefulness of applying Markov chains in chemical engineering.

Details

ISBN

978-0-444-82356-4

Language

English

Published

1998

Copyright

Copyright © 1998 Elsevier B.V. All rights reserved

Imprint

Elsevier Science

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Authors

Abraham Tamir

Department of Chemical Engineering Ben-Gurion University of the Negev Beer-Sheva, Israel