DROPS IN LOW REYNOLDS NUMBER FLOW Maria L. Ekiel-Jeżewska Eligiusz Wajnryb Institute of Fundamental Technological Research Polish Academy of Sciences,

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Presentation transcript:

DROPS IN LOW REYNOLDS NUMBER FLOW Maria L. Ekiel-Jeżewska Eligiusz Wajnryb Institute of Fundamental Technological Research Polish Academy of Sciences, Warsaw, Poland COST ``Physics of droplets’’, December 12, 2006, Darmstadt

DEPARTMENT OF MECHANICS AND PHYSICS OF FLUIDS DIVISION OF VISCOUS AND THERMAL FLOWS Head: Tomasz A. Kowalewski 6 researchers, 5 PhD students POLISH ACADEMY OF SCIENCES Warsaw Poland INSTITUTE OF FUNDAMENTAL TECHNOLOGICAL RESEARCH

OUR DROPLETS

DROP BREAK-UP S. Błoński, T. A. Kowalewski movie

MD: OIL DROPS IN WATER A. Słowicka, Z. Walenta

TURBULENCE IN CLOUDS P.M. Korczyk, S.P. Malinowski, T.A. Kowalewski moviemovie

VAPOUR BUBBLES S. Błoński, R. Trzciński, T. A. Kowalewski moviemovie

MICROFLOWS S. Błoński, T.A. Kowalewski movie

PARTICLES CLOSE TO INTERFACE B. Cichocki, M.L. Ekiel-Jeżewska, G. Naegele, E. Wajnryb

SUSPENSION DROPS S. Alabrudziński, D. Chehata, M.L. Ekiel- Jeżewska, T.A. Kowalewski

VISCOSITY OF EMULSIONS J. Bławzdziewicz E. Wajnryb, P. Vlahovska

LOW REYNOLDS NUMBER

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 EXPERIMENT: 3D particle tracking

Particles close to interface J. Bławzdziewicz M. L. Ekiel-Jeżewska E. Wajnryb in progress

Particles at a free surface B. Cichocki M. L. Ekiel-Jeżewska G. Nägele E. Wajnryb

Particles at a free surface Rotne-Prager

Ink drop M. Kolanowski S. Błoński M. L. Ekiel-Jeżewska Michelson movie

Suspension drops: experiment S. Alabrudziński D. Chehata M. L. Ekiel-Jeżewska T. Kowalewski Re << 1 g

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-Jeżewska B. Metzger E. Guazzelli

Result: ``perfect drop’’ fluid particles

Effective viscosity of emulsions J. Bławzdziewicz E. Wajnryb P. Vlahovska high frequency

Effective viscosity of emulsions

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