ME 537
Multiphase Flows
Class time: Mon Wed 9:30-10:50 MEB245


Professor Alberto Aliseda
office: MEB 306
tel: 543-4910
office hours: Mon, Wed 12:00-1:00 or by appointment

Course description Lecture Notes
Syllabus Textbook Grading Homework Exams

Course Description

  This course is designed to provide students with a strong background on 
fundamental fluid mechanics the necessary understanding of the dynamics
of multiphase flow to carry out research in their area of interest. Particular
emphasis will be placed on bubble and particle dynamics, including
sediment transport, cavitation, atomization and other environmental and
industrial processes. 
Although we will cover both Eulerian-Eulerian (two fluid) models and
Eulerian-Lagragian (discrete particles) models, most of the material
concentrates on the study of a discrete phase (particles, droplets or
bubbles) in a continuous phase. Topics will include Basset-Boussinesq-
Oseen equation of motion for a particle in a non-uniform flow, particle
interactions with turbulence, inertial clustering, cavitation and bubble
dynamics, droplet breakup, collisions and coalescence,  and surface tension

Lecture Notes

Two Fluid Formulation: Conservation of Mass, Momentum and Energy for multiple immiscible phases.

Flow around a spherical particle. Terminal Velocity of a settling or rising heavy or light sphere. Stokes Flow, Oseen correction for non-zero Reynolds numbers.

Dynamics of Particles in an inhomogeneous flow: a model for interactions between spherical particles and turbulence.

Equation of Motion of a small rigid sphere in a nonuniform flow: Maxey and Riley PoF 1983.

Zero-Reynolds number flow around a spherical particle. Oseen correction for finite Reynolds number. From Batchelor's "An introduction to fluid mechanics".

Particle-Turbulence Interaction. Turbulence Modification by Particles.

Bubble/Drop Deformation Induced by External Flows.

Aerodynamic Break Up of Liquid Drops.

Cavitation and Bubble Stability.

Bubble Dynamics under Pressure/Shape Fluctuations: Raleigh-Plesset Equation.

Reading Assignments

Eulerian-Eulerian Framework to understand Multiphase Flows and modeling of interphase coupling. Crowe et al. "Handbook of Multiphase Flow", 2006. Chapter 13.

Turbulent Dispersion. Diffusion of a plume laden with a passive scalar. G.I. Taylor Proc. Math. Society of London.

Homework #1: Paper #1 "The Motion of Small Spherical Particles in a Cellular Flow Field" Physics of Fluids 1987.

Homework #1: Paper #2 "Chaotic Dynamics of Particle Dispersions in Fluids" Physics of Fluids 1992.

Homework #2: Paper #1 "Two Way Interaction Turbulence Particles. Turbulence Modification" Physics of Fluids 1993.

Homework #2: Paper #2 "Turbulence Attenuation Particles. New Parameter. Tanaka & Eaton" Physical Review Letters 2008.

Rayleigh-Taylor Instability On Spray Formation: Joseph, Beaver & Funada JFM 2002.

On Spray Formation: Marmottant & Villermaux JFM 2004.

Homework #3: Paper #1 "Bubbles in Grid Turbulence" Lance & Bataille_JFM 1991.



Homework #1: Dynamics of Particles in a Non-Uniform or Turbulent Flow. Assigned 10/15/2017, due 10/27/2017.

Homework #2: Turbulence Attenuation by Particles. Assigned 10/30/2017, due 11/13/2017.

Homework #3: Large Bubbles in Turbulence. Assigned 11/22/2017, due 12/4/2017.


Midterm Exam. Assigned 11/03/2017, due 11/06/2017.

Final Exam. Assigned 12/08/2017, due 12/11/2017.


Introductions, syllabus, course administration.                                       Week 0
Stokes flow around a spherical particle and Oseen correction.              Week 1
Equation of motion for a small spherical particle in a
non-uniform flow, the Basset-Boussinesq-Oseen equation.   
Week 2
Other forces exerted by the carrier flow on a bubble/droplet/particle
immersed in it. Saffman Lift, Bjerknes force, thermophoresis, etc.  
Week 3

Particle dynamics. Inertial effects.                                                             Week 4                                                   

Two Fluid Models.                                                                                      Week 5

Turbulence modulation by particles.                                                       
Week 6
Droplet/bubble deformation and breakup.                                              Week 7
Bubble dynamics.                                                                                       Week 8    

Cavitation.                                                                                                   Week 9

Droplet collisions and coalescence.                                                           Week 10


The required texts for this course are:

        1. Crowe, C.T. “Multiphase Flow Handbook”. Taylor & Francis, Boca Raton, Fl. 2006.
        2. Brennen, C.E.”Fundamentals of Multiphase Flow”, Cambridge University Press, New York, 2005.
        3. Weber, M. E., Clift, R., Grace, J. R. “Bubbles, Drops, and Particles”, Dover Books, New York, NY. 2013.


Homework               20%        
Personal Project       40%
Midterm                  15%
         Final                        25%

University of Washington Emergency Procedures

Emergency procedures for building evacuation, earthquake, fire, hazardous materials,
    and other potential problems are at the following website:

<> Wed, Sep 27  2017