ME 537 Multiphase Flows
Class time: Mon Wed 10:00-11:20 MEB234
| Professor Alberto
office: MEB 306
office hours: Tu, Th 9:30-10:30 or by appointment
- This course is designed to provide students with a
strong background on
fundamental fluid mechanics the necessary understanding of the
of multiphase flow to carry out research in their area of
emphasis will be placed on bubble and particle dynamics,
sediment transport, cavitation, atomization and other
Although we will cover both Eulerian-Eulerian (two fluid)
Eulerian-Lagragian (discrete particles) models, most of the
concentrates on the study of a discrete phase (particles,
bubbles) in a continuous phase. Topics will include
Oseen equation of motion for a particle in a non-uniform flow,
interactions with turbulence, inertial clustering, cavitation
dynamics, droplet breakup, collisions and coalescence,
and surface tension
Formulation: Conservation of Mass, Momentum and Energy for
multiple immiscible phases.
Around a Spherical Particle. Stokes Flow, Oseen Correction.
Forces on a Spherical Particle in a Nonuniform
of Particles in Turbulent Flows.
of Bubbles and Particles.
"Handbook of Multiphase Flow", 2006. Chapter 13.
Batchelor's Book Chapter: Flow around a sphere, including
Stokes, Oseen and Hadamard-Rybczynski solutions for flow
around spheres with no-slip and free-slip (fluid-filled
sphere) boundary conditions.
Maxey and Riley: Equation of Motion for a small
rigid sphere in a nonuniform flow. Physics of Fluids Vol 26, issue 4, 1983
Interactions. Crowe et al. "Handbook of Multiphase Flow",
2006. Chapter 12. In particular, section 12.6: Turbulence
Modulations by Particles
Deformation and Collapse. Christopher Brennen. "Fundamentals
of Multiphase Flow" 1st Edition, 2009. Chapter 4.
#1. Explain the use of a Two-Fluid Formulation to describe the
motion of small spherical bubbles in a turbulent flow.
to read: "Direct Numerical Simulations of Bubble-Laden
Turbulent Flows Using the Two-Fluid Formulation". Druzhinin
and Elghobashi. Physics of Fluids 1998. Vol 10, pp. 685; doi:
#2. Describe the dynamics of small spherical particles in
turbulent flows from the following two papers:
#1: "The motion of small spherical particles in a cellular
flow field". M. Maxey, 1987, Physics of Fluids, 30, 7.
#2: "Chaotic Dynamics of Particle Dispersion in Fluids".
L.P. Wang, M. Maxey, T.D. Burton, D.E. Stock, 1992, Physics
of Fluids A, 4, 8
#3. Study the influence of particles in the turbulence
characteristics of the carrier flow. Read and discuss the
following two papers:
#1: "On the two way interaction between homogeneous
turbulence and small solid particles: Turbulence
Modification", by S. Elghobashi and G.C. Truesdell, 1993,
Physics of Fluids A, 5. (7).
#2: "Classification of turbulence modification by dispersed
spheres using a novel dimensionless number" by T.
Tanaka, and J.K. Eaton, Phys. Rev. Let. 101, (11),
Exam. Published on Nov 2, Friday, at 8 am, it is due on Nov 4,
Sunday, at 5 pm.
Exam. Published on Dec 12, Wednesday, at 12:30 am, it is due
on Dec 14, Friday, at 8 pm.
- Introductions, syllabus, course
- Stokes flow around a spherical particle and Oseen
Other forces exerted by the carrier flow on a
- Equation of motion for a small spherical particle
non-uniform flow, the Basset-Boussinesq-Oseen
immersed in it. Saffman Lift, Bjerknes force, thermophoresis,
Particle dynamics. Inertial effects.
Two Fluid Models.
- Droplet/bubble deformation and breakup.
Droplet collisions and coalescence.
- The required texts for this course are:
- 1. Crowe, C.T.
“Multiphase Flow Handbook”. Taylor & Francis, Boca Raton,
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.
- Personal Project 40%
University of Washington Emergency Procedures
- Emergency procedures for building evacuation, earthquake,
fire, hazardous materials,
- and other potential problems are at the