ME 537
Multiphase Flows

http://courses.washington.edu/mengr537
Class time: Mon Wed 3:30-4:50 MEB 237




Instructor:

Professor Alberto Aliseda
office: MEB 306
tel: 543-4910
email: aaliseda@u.washington.edu
office hours: WF 9:00-9:50 or by appointment


Course description Lecture Notes
Syllabus Textbook Grading Homework Exams


Course Description

The material in this course will provide the student with the fundamental background in fluid mechanics and the necessary understanding of the anatomy and physiology of the human vascular system to carry out research in the area of cardiovascular fluid mechanics. Topics that will be covered include normal physiological flow in veins and arteries, flow related pathologies such as thrombosis, atherosclerosis, stenosis, aneurysms, heart valve disfunction. Applications to mechanics-based medical devices and therapies will also be a significant part of the course.

Lecture Notes

Stokes Flow around a sphere (negligible inertia)
Oseen correction for flow around a sphere (first correction for inertia)

Equation of Motion of a small rigid sphere in a nonuniform flow


Lecture Notes on the
Equation of Motion of a small rigid sphere in a nonuniform flow

Additional forces acting on particles immersed in non-uniform flow: Lift forces, Thermophoresis, Bjerknes force, ...

Effect of inertia on particle dynamics

Particle Fluid Interactions: 1, 2 and 4 way coupling

Particle Dispersion by Turbulence

Turbulence Modulation by Particles

Bubble or Droplet Deformation

Bubble Dynamics

Stable vs Unstable Cavitation (collapse)

Bubble Dynamics Chapter 3 Brennen

Bubble Dynamics Chapter 4 Brennen



Assigned Homework Sets

Homework #1: The motion of small spherical particles in a cellular flow field

Homework #1: Assigned Paper. Motion_Spherical_Particles_Cellular_Flow

Homework #2: Two way interaction between homogeneous turbulence and small solid particles: Turbulence modification

Homework #2: Assigned Paper


Homework #3: Non linear bubble dynamics

Homework #3: Assigned Paper



Midterm Exam. Due on Thrusday, Nov. 12 at 9 am.

Numerical Simulation of Turbulence Drag Reduction by Microbubbles.



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
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

Turbulence modulation by particles.                                                   Week 5
Bubble dynamics.                                                                                Week 6
Cavitation.                                                                                          Week 7

Two Fluid Models.                                                                              Week 8    

Droplet breakup.                                                                                Week 9

Droplet collisions and coalescence.                                                      Week 10

Textbook

The required texts for this course are:

        1. Crowe, C.T., Sommerfeld, M. and Yutaka, T.  “Multiphase Flows with Droplets and Particles”, CRC Press, Boca Raton, FL. 1998.
        2. Crowe, C.T. “Multiphase Flow Handbook”. Taylor & Francis, Boca Raton, Fl. 2006.
        3. Brennen, C.E.”Fundamentals of Multiphase Flow”, Cambridge University Press, New York, 2005.
                    

Grading

Homework               30%        
Personal Project       45%
Midterm                  25%




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<aaliseda@u.washington.edu> Fri 15 Feb 2008