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Theory of Multicomponent Fluids

  • Book
  • © 1999

Overview

Authors:
  1. Donald A. Drew

    1. Department of Mathematical Science, Rensselaer Polytechnic Institute, Troy, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Stephen L. Passman

    1. Sandia National Laboratories, Albuquerque, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (23 chapters)

  1. Front Matter

    Pages i-x
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  2. Introduction

    1. Introduction

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

  3. Preliminaries

    1. Front Matter

      Pages 11-11
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    2. Physical Reality, Corpuscular Models, Continuum Models

      • Donald A. Drew, Stephen L. Passman
      Pages 13-19

    3. Classical Continuum Theory

      • Donald A. Drew, Stephen L. Passman
      Pages 20-40

    4. Viscous and Inviscid Fluids and Elastic Solids

      • Donald A. Drew, Stephen L. Passman
      Pages 41-47

    5. Kinetic Theory

      • Donald A. Drew, Stephen L. Passman
      Pages 48-58

    6. Classical Theory of Solutions

      • Donald A. Drew, Stephen L. Passman
      Pages 59-61

  4. Continuum Theory

    1. Front Matter

      Pages 63-63
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    2. Continuum Balance Equations for Multicomponent Fluids

      • Donald A. Drew, Stephen L. Passman
      Pages 65-80

    3. Mixture Equations

      • Donald A. Drew, Stephen L. Passman
      Pages 81-84

  5. Averaging Theory

    1. Front Matter

      Pages 85-85
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    2. Introduction

      • Donald A. Drew, Stephen L. Passman
      Pages 87-91

    3. Ensemble Averaging

      • Donald A. Drew, Stephen L. Passman
      Pages 92-104

    4. Other Averages

      • Donald A. Drew, Stephen L. Passman
      Pages 105-120

    5. Averaged Equations

      • Donald A. Drew, Stephen L. Passman
      Pages 121-130

    6. Postulational and Averaging Approaches

      • Donald A. Drew, Stephen L. Passman
      Pages 131-134

  6. Modeling Multicomponent Flows

    1. Front Matter

      Pages 135-135
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    2. Introduction

      • Donald A. Drew, Stephen L. Passman
      Pages 137-139

    3. Closure Framework

      • Donald A. Drew, Stephen L. Passman
      Pages 140-152
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematical Science, Rensselaer Polytechnic Institute, Troy, USA

    Donald A. Drew

  • Sandia National Laboratories, Albuquerque, USA

    Stephen L. Passman

Bibliographic Information

  • Book Title: Theory of Multicomponent Fluids

  • Authors: Donald A. Drew, Stephen L. Passman

  • Series Title: Applied Mathematical Sciences

  • DOI: https://doi.org/10.1007/b97678

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1999

  • Hardcover ISBN: 978-0-387-98380-6Published: 06 November 1998

  • Softcover ISBN: 978-1-4684-9227-9Published: 16 September 2012

  • eBook ISBN: 978-0-387-22637-8Published: 10 May 2006

  • Series ISSN: 0066-5452

  • Series E-ISSN: 2196-968X

  • Edition Number: 1

  • Number of Pages: X, 310

  • Topics: Mathematics, general

  • Industry Sectors: Engineering, IT & Software

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