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Jens Eggers

Jens Eggers. How to make small things. Singularities!. very small scales created here. experiment by Shi et al. Why singularities?. Singularities are nature’s way of making small things. The simple mathematical structure of singularities permits detailed control. Printing challenges.

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Jens Eggers

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  1. Jens Eggers How to make small things

  2. Singularities! very small scales created here experiment by Shi et al.

  3. Why singularities? • Singularities are nature’s way of making • small things • The simple mathematical structure of singularities • permits detailed control

  4. Printing challenges O. Basaran problem: satellites “engineer’s dream” satellite

  5. Water drop experiment by D.H. Peregine et al., JFM `90 computed from 1-d model simulation from J. Eggers and T.F. Dupont, JFM 94

  6. Two-fluid breakup: Cell division experiment by Spudich et al. Cohen, Brenner, Eggers, Nagel, PRL’99

  7. Polymeric fluid (100 ppm of PEO) 1-D simulation experiment by Ch. Wagner

  8. Nanojet symmetric pinching! J. Eggers, PRL `02 Moseler and Landman, Science 2000

  9. Coalescence sphere sphere motiondriven by surface diffusion small enclosure

  10. A sharp cusp air, V fluid, Ca Lorenceau et al, PRL ‘03

  11. Pouring a viscous liquid fluid jet J. Eggers, PRL ‘01 E. Lorenceau, D. Quéré, PRL ‘03 viscous fluid E. Lorenceau, D. Quéré, J. Eggers, PRL ‘04 cusp cusp forms

  12. Quest for microdrops: flow Cohen et al., Science `01: selective withdrawal

  13. Small scales: bubble tip Increase flow rate bubble tip radius (microns) 0.5mm drain flow rate (g/s) experiment by S. Courrech du Pont

  14. New structure: electric jets Taylor cone jet tiny droplets experiment by Pantano et al.

  15. Moving contact lines receding contact line advancing contact line experiment by Podgorski et al., PRL `01 orientation of inclined plane

  16. Contact line deposits deposit evaporation Robert Deegan, PRE `00 pinning-unpinning- pinning…

  17. STM tips log(tipsize) log(tc-t) makes nano-sized tips! Quaade + Oddershede EPL `02

  18. Conclusions • Singularities occur in a great variety of systems • Self-similarity is the natural language to describe • singularities. • Challenge: what ways are there to fixate singularities?

  19. One-dimensional approximation Laplace Pressure inertia surf. tens. viscosity mass conservation J. Eggers, T. F. Dupont, JFM `94

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