Mathematical Modeling of Disperse Two-Phase Flows

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. Chapters clarify many difficult subjects, including modeling of the interfacial area concentration. 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 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.

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.

Contenu

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.- Appendix B.- Appendix C.- Appendix D.- Appendix E.- Appendix F.- Index.