1st Edition
Multiphase Particulate Systems in Turbulent Flows Fluid-Liquid and Solid-Liquid Dispersions
Multiphase Particulate Systems in Turbulent Flows: Fluid-Liquid and Solid-Liquid Dispersions provides methods necessary to analyze complex particulate systems and related phenomena including physical, chemical and mathematical description of fundamental processes influencing crystal size and shape, suspension rheology, interfacial area of drops and bubbles in extractors and bubble columns. Examples of mathematical model formulation for different processes taking place in such systems is shown. Discussing connections between turbulent mixing mechanisms and precipitation, it discusses influence of fine-scale structure of turbulence, including its intermittent character, on breakage of drops, bubbles, cells, plant cell aggregates. An important aspect of the mathematical modeling presented in the book is multi-fractal, taking into account the influence of internal intermittency on different phenomena.
Key Features
- Provides detailed descriptions of dispersion processes in turbulent flow, interactions between dispersed entities, and continuous phase in a single volume
- Includes simulation models and validation experiments for liquid-liquid, gas-liquid, and solid-liquid dispersions in turbulent flows
- Helps reader learn formulation of mathematical models of breakage or aggregation processes using multifractal theory
- Explains how to solve different forms of population balance equations
- Presents a combination of theoretical and engineering approaches to particulate systems along with discussion of related diversity, with exercises and case studies
1. Introduction
2. Population balance equation
2.1. Phase space
2.2. Number density function
2.3. Population balance equation formulation
2.4. Birth and death functions
2.5. Reduction of the PBE dimension
2.6. Generalized population balance equation
2.7. Population balance equation solution methods
2.8. Comments on particle state random changes
3. Very short introduction to fractal geometry
4. Turbulence
4.1. Turbulence fundamentals
4.2. Microstructure of turbulence
4.3. Turbulent flow models
4.4. Turbulent mixing
5. CFD modeling of multiphase flows
5.1. VOF method
5.2. Lagrangian-Eulerian approach
5.3. Eulerian approach
Part II
6. Fluid-fluid dispersions – liquid-liquid and gas-liquid systems
6.1. Industrial applications of fluid-fluid dispersions
6.2. Processes and factors affecting bubble and drop behavior in turbulent flows
6.3. Surface active additive and their role in modification of fluid-fluid interfaces
6.4. Drop and bubble size distribution measurement methods
6.5. Viscosity of fluid-fluid dispersion
6.6. Fluid particle size evolution in turbulent field
6.7. Droplet breakage in turbulent field
6.8. Fluid particle coalescence
6.9. Large-scale inhomogeneity
6.10. Phase inversion
6.11. Dynamic stabilization of liquid-liquid dispersion
6.12. Mass transfer in fluid-fluid systems
6.13. Equipment used in fluid-fluid operations
6.14. Eulerian description of liquid-liquid and gas-liquid dispersions – coupling of CFD methods and PBE modeling
Exercise 6.1
Exercise 6.2
Exercise 6.3
Exercise 6.4
7. Solid-liquid systems
7.1. Crystallization and precipitation fundamentals
7.2. Perfectly mixed crystallizers
7.3. Ideally mixed batch crystallizers – preferential crystallization
7.4. Precipitation process in Lagrangian framework – mechanistic model of mixing dependent precipitation
7.5. Precipitation process in Eulerian framework – closure problem
7.6. Aggregation
7.7. Break-up of compact particles and aggregates
7.8. Particle precipitation in droplets
7.9. Multivariate population balance equation
7.10. Biological systems – selected problems
Exercise 7.1
Exercise 7.2
Exercise 7.3
Exercise 7.4
Biography
Wioletta Podgórska is a Professor in the Faculty of Chemical and Process Engineering at the Warsaw University of Technology, Poland, where she obtained her Ph.D. and D.Sc. Her main theoretical and experimental research touch such fields as turbulent mixing, chemical reaction, precipitation, liquid-liquid dispersions. She is an author of about 100 scientific papers and reports. The paper Mixing-precipitation model with application to double feed semibatch precipitation based on her Ph.D. thesis and published in Chemical Engineering Science, 1995, was taken into account during selection of most influential contributions to mixing research (AIChE Meeting for NAMF 21st anniversary celebration). Her monograph Drop breakup and coalescence in turbulent field (OWPW, 2006, in Polish) was awarded by Polish Academy of Sciences in 2007. Professor Podgórska is also a coauthor of textbook Computations in bioreactor engineering (1st ed. 1996, 2nd ed. 2012, in Polish).
