Variational Methods Applied to Problems of Diffusion and Reaction

  • William Strieder
  • Rutherford Aris

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

Table of contents

  1. Front Matter
    Pages i-ix
  2. William Strieder, Rutherford Aris
    Pages 1-17
  3. William Strieder, Rutherford Aris
    Pages 18-41
  4. William Strieder, Rutherford Aris
    Pages 42-58
  5. William Strieder, Rutherford Aris
    Pages 59-96
  6. Back Matter
    Pages 97-112

About this book

Introduction

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.

Keywords

Chemische Reaktion Diffusion Variationsrechnung equation function

Authors and affiliations

  • William Strieder
    • 1
  • Rutherford Aris
    • 2
  1. 1.Department of Chemical EngineeringUniversity of Notre DameNotre DameUSA
  2. 2.Department of Chemical Engineering and Materials ScienceUniversity of MinnesotaMinneapolisUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-65624-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 1973
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-65626-2
  • Online ISBN 978-3-642-65624-8
  • Series Print ISSN 0081-3877
  • About this book