Stochastic Modelling in Process Technology, Volume 211

1st Edition

Authors: Herold Dehling Timo Gottschalk Alex Hoffmann
Hardcover ISBN: 9780444520265
eBook ISBN: 9780080548975
Imprint: Elsevier Science
Published Date: 3rd July 2007
Page Count: 290
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Description

There is an ever increasing need for modelling complex processes reliably. Computational modelling techniques, such as CFD and MD may be used as tools to study specific systems, but their emergence has not decreased the need for generic, analytical process models. Multiphase and multicomponent systems, and high-intensity processes displaying a highly complex behaviour are becoming omnipresent in the processing industry.

This book discusses an elegant, but little-known technique for formulating process models in process technology: stochastic process modelling.

The technique is based on computing the probability distribution for a single particle's position in the process vessel, and/or the particle's properties, as a function of time, rather than - as is traditionally done - basing the model on the formulation and solution of differential conservation equations.

Using this technique can greatly simplify the formulation of a model, and even make modelling possible for processes so complex that the traditional method is impracticable.

Stochastic modelling has sporadically been used in various branches of process technology under various names and guises. This book gives, as the first, an overview of this work, and shows how these techniques are similar in nature, and make use of the same basic mathematical tools and techniques.

The book also demonstrates how stochastic modelling may be implemented by describing example cases, and shows how a stochastic model may be formulated for a case, which cannot be described by formulating and solving differential balance equations.

Key Features

  • Introduction to stochastic process modelling as an alternative modelling technique
  • Shows how stochastic modelling may be succesful where the traditional technique fails
  • Overview of stochastic modelling in process technology in the research literature
  • Illustration of the principle by a wide range of practical examples
  • In-depth and self-contained discussions
  • Points the way to both mathematical and technological research in a new, rewarding field

Readership

Researchers in the processing industry. Also suitable for researchers and graduate students in universities, mathematics, physics and engineering departments.


Details

No. of pages:
290
Language:
English
Copyright:
© Elsevier Science 2007
Published:
Imprint:
Elsevier Science
eBook ISBN:
9780080548975
Hardcover ISBN:
9780444520265

About the Authors

Herold Dehling Author

Affiliations and Expertise

Ruhr-Universität Bochum, Department of Mathematics, Bochum, Germany

Timo Gottschalk Author

Alex Hoffmann Author

Affiliations and Expertise

University of Bergen, Department of Physics and Technology, Bergen, Norway