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Variational Methods Applied to Problems of Diffusion and Reaction

  • Book
  • © 1973

Overview

Authors:
  1. William Strieder

    1. Department of Chemical Engineering, University of Notre Dame, Notre Dame, USA

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  2. Rutherford Aris

    1. Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, USA

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Part of the book series: Springer Tracts in Natural Philosophy (STPHI, volume 24)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-ix
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  2. Introduction and Preliminaries

    • William Strieder, Rutherford Aris
    Pages 1-17

  3. Diffusion Through a Porous Medium

    • William Strieder, Rutherford Aris
    Pages 18-41

  4. Diffusion Limited Reactions

    • William Strieder, Rutherford Aris
    Pages 42-58

  5. Heterogeneous Catalysis

    • William Strieder, Rutherford Aris
    Pages 59-96

  6. Back Matter

    Pages 97-112
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Keywords

About this book

This monograph is an account of some problems involving diffusion or diffusion with simultaneous reaction that can be illuminated by the use of variational principles. It was written during a period that included sabbatical leaves of one of us (W. S. ) at the University of Minnesota and the other (R. A. ) at the University of Cambridge and we are grateful to the Petroleum Research Fund for helping to support the former and the Guggenheim Foundation for making possible the latter. We would also like to thank Stephen Prager for getting us together in the first place and for showing how interesting and useful these methods can be. We have also benefitted from correspondence with Dr. A. M. Arthurs of the University of York and from the counsel of Dr. B. D. Coleman the general editor of this series. Table of Contents Chapter 1. Introduction and Preliminaries . 1. 1. General Survey 1 1. 2. Phenomenological Descriptions of Diffusion and Reaction 2 1. 3. Correlation Functions for Random Suspensions 4 1. 4. Mean Free Path Statistics . 8 1. 5. Void Point-Surface Statistics . 11 1. 6. Variational Principles Applied to the Diffusion Equation. 12 1. 7. Notation. 16 Chapter 2. Diffusion Through a Porous Medium . 18 2. 1. Introduction 18 2. 2. Diffusion Through an Isotropic Porous Medium 18 2. 3. Variational Formulation for De . 20 2. 4. Bounds on De for an Isotropic Suspension 22 2. 5.

Authors and Affiliations

  • Department of Chemical Engineering, University of Notre Dame, Notre Dame, USA

    William Strieder

  • Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, USA

    Rutherford Aris

Bibliographic Information

  • Book Title: Variational Methods Applied to Problems of Diffusion and Reaction

  • Authors: William Strieder, Rutherford Aris

  • Series Title: Springer Tracts in Natural Philosophy

  • DOI: https://doi.org/10.1007/978-3-642-65624-8

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1973

  • Softcover ISBN: 978-3-642-65626-2Published: 11 November 2011

  • eBook ISBN: 978-3-642-65624-8Published: 07 March 2013

  • Series ISSN: 0081-3877

  • Edition Number: 1

  • Number of Pages: X, 112

  • Topics: Functional Analysis, Industrial Chemistry/Chemical Engineering

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