DROPS IN LOW REYNOLDS NUMBER FLOW

1
DROPS IN LOW REYNOLDS NUMBER FLOW

• Maria L. Ekiel-Jezewska
• Eligiusz Wajnryb
• Institute of Fundamental Technological
  Research
• Polish Academy of Sciences, Warsaw, Poland
• COST Physics of droplets, December 12, 2006,
  Darmstadt

2
POLISH ACADEMY OF SCIENCES
INSTITUTE OF FUNDAMENTAL TECHNOLOGICAL RESEARCH
Warsaw Poland
DEPARTMENT OF MECHANICS AND PHYSICS OF
FLUIDS
DIVISION OF VISCOUS AND THERMAL FLOWS
Head Tomasz A. Kowalewski

6 researchers , 5 PhD students
3
OUR DROPLETS
4
DROP BREAK-UP S. Blonski, T. A. Kowalewski movie
5
MD OIL DROPS IN WATER A. Slowicka, Z. Walenta
6
P.M. Korczyk, S.P. Malinowski, T.A. Kowalewski
movie
7
VAPOUR BUBBLES S. Blonski, R. Trzcinski, T. A.
Kowalewski movie
8
MICROFLOWS S. Blonski, T.A. Kowalewski movie
9
PARTICLES CLOSE TO INTERFACE B. Cichocki, M.L.
Ekiel-Jezewska, G. Naegele, E. Wajnryb
10
SUSPENSION DROPS S. Alabrudzinski,
D. Chehata, M.L. Ekiel-Jezewska, T.A. Kowalewski
11
VISCOSITY OF EMULSIONS J. Blawzdziewicz E.
Wajnryb, P. Vlahovska
12
(No Transcript)
13
Drops in low Reynolds number flows
THEORY Stokes equations, multipole expansion,
mobility of friction problems NUMERICAL CODE
non-deformable surfaces, up to hundred of
spheres (solid, liquid or gas), infinite fluid
or periodic boundary conditions or flat
interface or two parallel flat interfaces EXPERIME
NT 3D particle tracking
14
Particles close to interface
J. Blawzdziewicz M. L. Ekiel-Jezewska E. Wajnryb
in progress
15
Particles at a free surface
B. Cichocki M. L. Ekiel-Jezewska G. Nägele E.
Wajnryb
16
Particles at a free surface
17
Ink drop
Michelson
M. Kolanowski S. Blonski M. L. Ekiel-Jezewska
movie
18
Suspension drops experiment
g
S. Alabrudzinski D. Chehata M. L.
Ekiel-Jezewska T. Kowalewski
Re ltlt 1
19
Suspension drops theory

• ASSUMPTIONS
• - Stokes flow
• random distribution
• of N point forces F
• inside a sphere
• of radius R
• QUESTION
• Particle fluid flows?

M. L. Ekiel-Jezewska B. Metzger E. Guazzelli
20
Result perfect drop
particles
fluid
21
Effective viscosity of emulsions
J. Blawzdziewicz E. Wajnryb P. Vlahovska
22
Effective viscosity of emulsions
23
Conclusions our tools interests
LOW REYNOLDS NUMBER FLOWS NUMERICAL CODE
(MULTIPOLE EXPANSION) Mobility and dynamics
of spherical non-deformable drops and solid
particles close to an interface EXPERIMENT
(PARTICLE TRACKING) Motion of solid
particles, drops and bubbles