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Drops in Low Reynolds Number Flow: Theory and Experiment

This study delves into the behavior of drops in low Reynolds number flows, examining the theory using Stokes equations and multipole expansion. The numerical code allows for simulations with non-deformable spherical drops and particles near interfaces. Experimental data includes 3D particle tracking, analyzing motion at interfaces and in suspensions. The research provides insights into mobility, dynamics, and viscosity in emulsions, emphasizing the significance of understanding low Reynolds number flows.

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Drops in Low Reynolds Number Flow: Theory and Experiment

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  1. 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

  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. Błoński, T. A. Kowalewski movie

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

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

  7. VAPOUR BUBBLES S. Błoński, R. Trzciński, T. A. Kowalewski movie

  8. MICROFLOWS S. Błoński, T.A. Kowalewski movie

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

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

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

  12. LOW REYNOLDS NUMBER

  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 EXPERIMENT: 3D particle tracking

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

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

  16. Rotne-Prager Rotne-Prager Particles at a free surface

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

  18. Suspension drops: experiment g S. Alabrudziński D. Chehata M. L. Ekiel-Jeżewska T. Kowalewski Re << 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-Jeżewska B. Metzger E. Guazzelli

  20. Result: ``perfect drop’’ particles fluid

  21. high frequency Effective viscosity of emulsions J. Bławzdziewicz 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

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