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Mathematical Modeling for Complex Fluids and Flows

  • Michel O. Deville
  • Thomas B. Gatski

Table of contents

  1. Front Matter
    Pages I-XIX
  2. Michel O. Deville, Thomas B. Gatski
    Pages 1-19
  3. Michel O. Deville, Thomas B. Gatski
    Pages 21-46
  4. Michel O. Deville, Thomas B. Gatski
    Pages 47-67
  5. Michel O. Deville, Thomas B. Gatski
    Pages 69-94
  6. Michel O. Deville, Thomas B. Gatski
    Pages 95-147
  7. Michel O. Deville, Thomas B. Gatski
    Pages 149-214
  8. Michel O. Deville, Thomas B. Gatski
    Pages 215-242
  9. Back Matter
    Pages 243-264

About this book

Introduction

Mathematical Modeling for Complex Fluids and Flows provides researchers and engineering practitioners encountering fluid flows with state-of-the-art knowledge in continuum concepts and associated fluid dynamics. In doing so it supplies the means to design mathematical models of these flows that adequately express the engineering physics involved. It exploits the implicit link between the turbulent flow of classical Newtonian fluids and the laminar and turbulent flow of non-Newtonian fluids such as those required in food processing and polymeric flows.

The book develops a descriptive mathematical model articulated through continuum mechanics concepts for these non-Newtonian, viscoelastic fluids and turbulent flows. Each complex fluid and flow is examined in this continuum context as well as in combination with the turbulent flow of viscoelastic fluids. Some details are also explored via kinetic theory, especially viscoelastic fluids and their treatment with the Boltzmann equation. Both solution and modeling strategies for turbulent flows are laid out using continuum concepts, including a description of constructing polynomial representations and accounting for non-inertial and curvature effects.

Ranging from fundamental concepts to practical methodology, and including discussion of emerging technologies, this book is ideal for those requiring a single-source assessment of current practice in this intricate yet vital field.

Keywords

Complex fluids complex flows constutive equations lattice Boltzmann method turbulent modeling

Authors and affiliations

  • Michel O. Deville
    • 1
  • Thomas B. Gatski
    • 2
  1. 1.EPFL, Institute of Mechanical EngineeringSwiss Federal Institute of TechnologyLausanneSwitzerland
  2. 2.Institute PPRIMECNRS, Université de Poitiers ENSMAFuturoscope Chasseneuil CedexFrance

Bibliographic information