ME 537 Multiphase Flows
http://courses.washington.edu/mengr537
Class time: Mon Wed 10:0011:20 MEB234
Instructor:

Professor Alberto
Aliseda
office: MEB 306
tel: 5434910
email: aaliseda@u.washington.edu
office hours: Tu, Th 9:3010:30 or by appointment

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 EulerianEulerian (two fluid)
models and
EulerianLagragian (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
BassetBoussinesq
Oseen equation of motion for a particle in a nonuniform flow,
particle
interactions with turbulence, inertial clustering, cavitation
and bubble
dynamics, droplet breakup, collisions and coalescence,
and surface tension
effects.
Lecture Notes
Two Fluid
Formulation: Conservation of Mass, Momentum and Energy for
multiple immiscible phases.
Flow
Around a Spherical Particle. Stokes Flow, Oseen Correction.
Hydrodynamic
Forces on a Spherical Particle in a Nonuniform
(Turbulence) Flow.
Dynamics
of Particles in Turbulent Flows.
Deformation
of Bubbles and Particles.
Droplet
Breakup.
Bubble
Dynamics. The
RayleighPlesset
Equation.
Cavitation.
Turbulence
Modification
by Particles.
Reading Assignments
EulerianEulerian
Framework
to
understand
Multiphase
Flows
and
modeling
of
interphase
coupling.
Crowe
et
al.
"Handbook of Multiphase Flow", 2006. Chapter 13.
Batchelor's Book Chapter: Flow around a sphere, including
Stokes, Oseen and HadamardRybczynski solutions for flow
around spheres with noslip and freeslip (fluidfilled
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
Multiphase
Interactions. Crowe et al. "Handbook of Multiphase Flow",
2006. Chapter 12. In particular, section 12.6: Turbulence
Modulations by Particles
Bubble
Deformation and Collapse. Christopher Brennen. "Fundamentals
of Multiphase Flow" 1st Edition, 2009. Chapter 4.
Homework
Homework
#1. Explain the use of a TwoFluid Formulation to describe the
motion of small spherical bubbles in a turbulent flow.
Paper
to read: "Direct Numerical Simulations of BubbleLaden
Turbulent Flows Using the TwoFluid Formulation". Druzhinin
and Elghobashi. Physics of Fluids 1998. Vol 10, pp. 685; doi:
10.1063/1.869594
Homework
#2. Describe the dynamics of small spherical particles in
turbulent flows from the following two papers:
Paper
#1: "The motion of small spherical particles in a cellular
flow field". M. Maxey, 1987, Physics of Fluids, 30, 7.
Paper
#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
Homework
#3. Study the influence of particles in the turbulence
characteristics of the carrier flow. Read and discuss the
following two papers:
Paper
#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).
Paper
#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),
114502, 2008.
Exams
Midterm
Exam. Published on Nov 2, Friday, at 8 am, it is due on Nov 4,
Sunday, at 5 pm.
Final
Exam. Published on Dec 12, Wednesday, at 12:30 am, it is due
on Dec 14, Friday, at 8 pm.
Syllabus
 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
nonuniform flow, the BassetBoussinesqOseen
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
Textbook
 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.
Grading
 Homework
20%
 Personal Project 40%
 Midterm
15%
Final
25%
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