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Theory of Multicomponent Fluids

  • Donald A. Drew
  • Stephen L. Passman

Part of the Applied Mathematical Sciences book series (AMS, volume 135)

Table of contents

  1. Front Matter
    Pages i-x
  2. Introduction

    1. Donald A. Drew, Stephen L. Passman
      Pages 1-9
  3. Preliminaries

    1. Front Matter
      Pages 11-11
    2. Donald A. Drew, Stephen L. Passman
      Pages 13-19
    3. Donald A. Drew, Stephen L. Passman
      Pages 20-40
    4. Donald A. Drew, Stephen L. Passman
      Pages 41-47
    5. Donald A. Drew, Stephen L. Passman
      Pages 48-58
    6. Donald A. Drew, Stephen L. Passman
      Pages 59-61
  4. Continuum Theory

    1. Front Matter
      Pages 63-63
    2. Donald A. Drew, Stephen L. Passman
      Pages 65-80
    3. Donald A. Drew, Stephen L. Passman
      Pages 81-84
  5. Averaging Theory

    1. Front Matter
      Pages 85-85
    2. Donald A. Drew, Stephen L. Passman
      Pages 87-91
    3. Donald A. Drew, Stephen L. Passman
      Pages 92-104
    4. Donald A. Drew, Stephen L. Passman
      Pages 105-120
    5. Donald A. Drew, Stephen L. Passman
      Pages 121-130
    6. Donald A. Drew, Stephen L. Passman
      Pages 131-134
  6. Modeling Multicomponent Flows

    1. Front Matter
      Pages 135-135
    2. Donald A. Drew, Stephen L. Passman
      Pages 137-139
    3. Donald A. Drew, Stephen L. Passman
      Pages 140-152
    4. Donald A. Drew, Stephen L. Passman
      Pages 153-192
    5. Donald A. Drew, Stephen L. Passman
      Pages 193-198
    6. Donald A. Drew, Stephen L. Passman
      Pages 199-220
    7. Donald A. Drew, Stephen L. Passman
      Pages 221-233
  7. Consequences

    1. Front Matter
      Pages 235-235
    2. Donald A. Drew, Stephen L. Passman
      Pages 237-242
    3. Donald A. Drew, Stephen L. Passman
      Pages 243-253
    4. Donald A. Drew, Stephen L. Passman
      Pages 254-272
    5. Donald A. Drew, Stephen L. Passman
      Pages 273-296
  8. Back Matter
    Pages 297-310

About this book

Introduction

In this book, we give a rational treatment of multicomponent materials as intera- ingcontinua.Weoffertwoderivationsoftheequationsofmotionfortheinteracting continua; one which uses the concepts of continua for the components, and one which applies an averaging operation to the continuum equations for each c- ponent. Arguments are given for constitutive equations appropriate for dispersed multicomponent ?ow. The forms of the constitutive equations are derived from the principles of continuum mechanics applied to the components and their int- actions. The solutions of problems of hydromechanics of ordinary continua are used as motivation for the forms of certain constitutive equations in multicom- nent materials. The balance of the book is devoted to the study of problems of hydrodynamics of multicomponent ?ows. Many materials are homogeneous in the sense that each part of the material has the same response to a given set of stimuli as all of the other parts. An example of such a material is pure water. Formulation of equations describing the behavior of homogeneous materials is well understood, and is described in numerous standard textbooks. Many other materials, both manufactured and occurring in nature, are not - mogeneous. Such materials are often given names such as mixtures or composites.

Keywords

Derivation average equation mathematics mechanics microstructure modeling

Authors and affiliations

  • Donald A. Drew
    • 1
  • Stephen L. Passman
    • 2
  1. 1.Department of Mathematical ScienceRensselaer Polytechnic InstituteTroyUSA
  2. 2.Sandia National LaboratoriesAlbuquerqueUSA

Bibliographic information

  • DOI https://doi.org/10.1007/b97678
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-9227-9
  • Online ISBN 978-0-387-22637-8
  • Series Print ISSN 0066-5452
  • Series Online ISSN 2196-968X
  • Buy this book on publisher's site
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