Applied Multiphase Flow

1. Introduction. Overview of multiphase flow. Examples of industrial and environmental flows. Examples of flows with heat transfer and phase change. Classification of multiphase flows: separated vs. dispersed. Brief introduction to flow patterns.

2. Balance equations. Physical mechanisms involved and material behavior. Constitutive equations and mechanistic models of behavior. Interfacial interactions and forces. Analogies and differences with respect to single-phase flow. Flow parameters, non-dimensional numbers and scaling.

3. Introduction to turbulence, turbulence modeling and turbulence effects. Analogies and differences with respect to single-phase flow.

4. Separated flows and interfacial phenomena. Stability associated with interfacial flows. Interfacial waves.

5. Dispersed flows. Interaction between the dispersed and continuous phases. Momentum, heat and mass transfer. Differences and similarities between solid particles, droplets and bubbles.

6. Dynamics of single particles: solid particles, droplets and bubbles. Bubble and droplet dynamics. Bubble growth and collapse. Introduction to cavitation. Droplet dynamics and breakup.

7. Inter-particle interactions and collisions. Droplet and bubble coalescence and breakup. Collision kernel. Population balance models and simulations.

8. Quasi-1D flows, both internal and external (channel, pipe, jet, etc.). Balance equations and simplifying assumptions. Simple mechanistic models. Similarities and differences between: gas-liquid, liquid-gas, liquid-liquid, solid-liquid, and solid-gas. Flow classification and flow patterns, both separated and dispersed. Physical explanation and underlying mechanisms in the construction of a flow map. Steady and transient phenomena.

9. Stirred flows, both internal and external (bubble columns, fluidized beds, stirred tanks, ocean and atmospheric turbulence, etc.). Similarities and differences with respect to quasi-1D flows. Motion-driven, pressure-driven and gravity-driven flows. Dilute and dense flows. Flows dominated by inter-particle interactions (dense fluidized beds, bubble columns, etc.).

10. Multiphase flows with complex fluids (granular flow, slurries, agglomerates, emulsions, foams, etc.). Internal mesoscale structures. Thermodynamic and physicochemical interactions. Complex particles (with a complex structure and/or a complex particle-dynamics).

11. Heat transfer and phase change. Boiling and condensation. Radiation.

12. Industrial flow examples. Complex flow in pipelines in the oil-gas industry. Pneumatic conveying and solid-gas flows. Process equipment. Microfluidics applications.

13. Environmental flow examples. Sediment transport in rivers and the ocean. Aerosols and particulates dispersion in the atmosphere. Droplets in clouds.