Fluidic ratchet based on Marangoni-Bénard convection

Langmuir

Volumn 19, Issue 10, 2003, Pages 4358-4362

  Stroock, Abraham D ^a   Ismagilov, Rustem F ^a   Stone, Howard A ^a   Whitesides, George M ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW PATTERNS; HEAT CONVECTION; SUBSTRATES; SURFACE TENSION; THERMAL EFFECTS;

FLUIDIC RATCHET; MACROSCOPIC SCALES; MARANGONI BERNARD CONVECTION; MICROSCOPIC SCALES; PATTERN OF ASYMMETRICAL GROOVES; THERMALLY DRIVEN CONVECTION;

FLOW OF FLUIDS;

EID: 0037683737     PISSN: 07437463     EISSN: None     Source Type: Journal    
DOI: 10.1021/la026400c     Document Type: Article

References (25)

1. Koschmieder, E. Benard Cells and Taylor Vortices; Cambridge University Press: Cambridge, U.K., 1993.
2. Manneville, P. Dissipative Structures and Weak Turbulence; Academic Press: Boston, 1990.
3. Loulergue, J. C.; Manneville, P.; Pomeau, Y. J. Phys. D: Appl. Phys. 1981, 14, 1967.
4. Ahlers, G. Phys. Rev. Lett. 1974, 33, 1185.
5. Manneville, P. Mol. Cryst. Liq. Cryst. 1981, 70, 1501.
6. Zimmermann, W.; Kramer, L. Phys. Rev. Lett. 1985, 55, 402.
7. Kudrolli, A.; Gollub, J. P. Physica D 1996, 97, 133.
8. Cross, M. C.; Hohenberg, P. C. Rev. Mod. Phys. 1993, 65, 851.
9. Ismagilov, R. F.; Rosmarin, D.; Gracias, D.; Stroock, A. D.; Whitesides, G. M. Appl. Phys. Lett. 2001, 79, 439.
10. Croquette, V.; Schosseler, F. J. Phys. (Paris) 1982, 43, 1182.
11. Lowe, M.; Gollub, J. P.; Lubensky, T. C. Phys. Rev. Lett. 1983, 51, 786.
12. Zimmermann, W.; Ogawa, A.; Kai, S.; Kawasaki, K.; Kawakatsu, T. Europhys. Lett. 1993, 24, 217.
13. Throughout this article, we will refer to the local recirculation (i.e., convection rolls and cells) as the primary flow, and the net flow (i.e., any flow that carries fluid between cells) as a secondary flow.
14. Hartung, G.; Busse, F.; Rehberg, I. Phys. Rev. Lett. 1991, 66, 2742.
15. Kelly, R.; Pal, D. J. Fluid Mech. 1978, 86, 433.
16. Schmitz, R.; Zimmermann, W. Phys. Rev. E 1996, 53, 5993.
17. Lide, D., Ed. Handbook of Chemistry and Physics, 3rd Web ed.; CRC Press: Boca Raton, FL, 2001.
18. Bird, R.; Stewart, W.; Lightfoot, E. Transport Phenomena, 2nd ed.; John Wiley & Sons: New York, 2002.
19. M < 1 for h < 0.3 cm.
20. 2 °C)). Bi ∼ 0.6h, with h expressed in centimeters.
21. The addition of dye to the silicone oil is likely to change the surface tension of the oil relative to that of pure oil. We have not attempted to measure this change. The spatial variations in surface tension caused by the addition of the drop of dyed oil should not induce a net Marangoni flow such as the flows that are reported in this article.
22. c were predicted by Kelly and Pal for R-B convection. We assess the speed of the convection qualitatively by watching the motion of copper powder in the flow.
23. c to be the critical temperature difference for the uniform system with a layer of oil of the same thickness. We measure this experimentally.
24. The recirculation of the fluid assists molecular diffusion along the direction orthogonal to the axis of rolls (along y): When dye diffuses into a convection roll, the recirculating flow carries the dye rapidly (compared to diffusion) across the width of the roll. Some of the dye can then reach the next roll by diffusing a short distance (compared to the width of the roll) along y.
25. Kopp, M. U.; Mello, A. J. d.; Manz, A. Science 1998, 280, 1046.