"Mathematical Modeling of Disperse Two-Phase Flows" by Christophe Morel

This book develops the theoretical foundations of disperse two-phase flows, which are characterized by the existence of bubbles, droplets or solid particles finely dispersed in a carrier fluid, which can be a liquid or a gas. Basic knowledge of the subjects treated in this book is essential to practitioners of Computational Fluid Dynamics for two-phase flows in a variety of industrial and environmental settings. The book clarify many difficult subjects, including modeling of the interfacial area concentration. This book is highly suitable for students in the subject area, but may also be a useful reference text for more advanced scientists and engineers.

The author provides a complete derivation of the basic equations, followed by more advanced subjects like turbulence equations for the two phases (continuous and disperse) and multi-size particulate flow modeling. As well as theoretical material, readers will discover chapters concerned with closure relations and numerical issues. Many physical models are presented, covering key subjects including heat and mass transfers between phases, interfacial forces and fluid particles coalescence and breakup, amongst others.

Contents
Nomenclature
1 General Introduction
2 Microscopic Formulation of Two-Phase Flows
3 Macroscopic Formulation of Two-Phase Flows: The Two-Fluid Model
4 Surface Equations for Two-Phase Flows
5 Population Balances and Moments Transport Equations for Disperse Two-Phase Flows
6 Turbulence Equations for a Continuous Phase
7 Turbulence Equations for a Disperse Phase
8 Interfacial Forces and Momentum Exchange Closure
9 Interfacial Heat and Mass Transfers
10 Closures for the Bubble Size Distribution and Interfacial Area Concentration
11 Turbulence Models
12 Example of Application: Bubbly Flow in a Vertical Pipe
Appendix A Balance Equations for a Newtonian Fluid
Appendix B Mathematical Tools
Appendix C Momentum Balance Equationsfor the Hybrid Two-Fluid Model
Appendix D Derivation of the Turbulence EvolutionEquations
Appendix E Hadamard's Solution for a Creeping FlowAround and Inside a Spherical Particle
Appendix F Calculation of the Integrals Definedby Eq. (10.146)
Index