Statistical Hydrodynamic Models for Developed Mixing Instability Flows: Analytical “0D„ Evaluation Criteria, and Comparison of Single-and Two-Phase Flow Approaches

Antoine Llor (auth.)3540283307, 9783540283300

Part textbook, part exploratory work, this book aims to raise the awareness of students, physicists, and engineers in turbulence on the modeling of gravitationally induced turbulent mixing flows as produced, for instance, by Rayleigh-Taylor instabilities. The discussion is centered on the differences between single-fluid and two-fluid approaches, and it is illustrated with a 0D analysis of two specific elementary models in common use. Important deviations are shown to appear on many features, among others the prominence of directed energy, the simultaneous restitution of test cases, the responses to variable acceleration and shocks, and the behavior of various length scales.

Table of contents :
Introduction….Pages 1-4
Single‐Fluid Approach: Example of Dam’s к–ε Model….Pages 7-15
Two‐Fluid Approach: Example of Awe’s Model….Pages 17-28
Review of Different Instability Types and Regimes….Pages 33-45
Reconstruction by Dam’s к‐ε Model of Developed Mixing Instabilities….Pages 47-61
Reconstruction by Awe’s Two‐Fluid Model of Developed Mixing Instabilities….Pages 63-74
Comparison of Single and Two‐Fluid Approaches….Pages 79-92
Specific Treatment of Shocks: Constraints on Models 1 ….Pages 93-106
Some Perspectives on Further Developments of Models1….Pages 107-117
Conclusion, Future Modeling Trends….Pages 121-123
References….Pages 137-446