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Two-Fluid Model Stability, Simulation and Chaos

  • Martín López de Bertodano
  • William Fullmer
  • Alejandro Clausse
  • Victor H. Ransom

Table of contents

  1. Front Matter
    Pages i-xx
  2. Martín López de Bertodano, William Fullmer, Alejandro Clausse, Victor H. Ransom
    Pages 1-8
  3. Horizontal and Near Horizontal Wavy Flow

    1. Front Matter
      Pages 9-9
    2. Martín López de Bertodano, William Fullmer, Alejandro Clausse, Victor H. Ransom
      Pages 11-63
    3. Martín López de Bertodano, William Fullmer, Alejandro Clausse, Victor H. Ransom
      Pages 65-106
    4. Martín López de Bertodano, William Fullmer, Alejandro Clausse, Victor H. Ransom
      Pages 107-137
  4. Vertical Bubbly Flow

    1. Front Matter
      Pages 139-139
    2. Martín López de Bertodano, William Fullmer, Alejandro Clausse, Victor H. Ransom
      Pages 141-162
    3. Martín López de Bertodano, William Fullmer, Alejandro Clausse, Victor H. Ransom
      Pages 163-193
    4. Martín López de Bertodano, William Fullmer, Alejandro Clausse, Victor H. Ransom
      Pages 195-223
    5. Martín López de Bertodano, William Fullmer, Alejandro Clausse, Victor H. Ransom
      Pages 225-245
    6. Martín López de Bertodano, William Fullmer, Alejandro Clausse, Victor H. Ransom
      Pages 247-291
  5. Back Matter
    Pages 293-358

About this book

Introduction

This book addresses the linear and nonlinear two-phase stability of the one-dimensional Two-Fluid Model (TFM) material waves and the numerical methods used to solve it. The TFM fluid dynamic stability is a problem that remains open since its inception more than forty years ago. The difficulty is formidable because it involves the combined challenges of two-phase topological structure and turbulence, both nonlinear phenomena. The one dimensional approach permits the separation of the former from the latter.
The authors first analyze the kinematic and Kelvin-Helmholtz instabilities with the simplified one-dimensional Fixed-Flux Model (FFM). They then analyze the density wave instability with the well-known Drift-Flux Model. They demonstrate that the Fixed-Flux and Drift-Flux assumptions are two complementary TFM simplifications that address two-phase local and global linear instabilities separately. Furthermore, they demonstrate with a well-posed FFM and a DFM two cases of nonlinear two-phase behavior that are chaotic and Lyapunov stable. 
On the practical side, they also assess the regularization of an ill-posed one-dimensional TFM industrial code. Furthermore, the one-dimensional stability analyses are applied to obtain well-posed CFD TFMs that are either stable (RANS) or Lyapunov stable (URANS), with the focus on numerical convergence.

Keywords

Two-phase flow analysis Drift flux model Linear and nonlinear fluid dynamic stability Horizontal stratified wavy flow Vertical bubbly-slug flow Dispersion analysis Laplace transform Nonlinear numerical simulations Computational fluid dynamics

Authors and affiliations

  • Martín López de Bertodano
    • 1
  • William Fullmer
    • 2
  • Alejandro Clausse
    • 3
  • Victor H. Ransom
    • 4
  1. 1.School of Nuclear EngineeringPurdue UniversityWest LafayetteUSA
  2. 2.School of Nuclear EngineeringPurdue University School of Nuclear EngineeringWest LafayetteUSA
  3. 3.School of Nuclear EngineeringPurdue UniversityWest LafayetteUSA
  4. 4.School of Nuclear EngineeringPurdue UniversityWest LafayetteUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-44968-5
  • Copyright Information Springer International Publishing Switzerland 2017
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-44967-8
  • Online ISBN 978-3-319-44968-5
  • Buy this book on publisher's site
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