- Access by Xinjiang University
Suppression of instabilities in multiphase flow by geometric confinement
Phys. Rev. E 79, 056310 – Published 18 May, 2009
DOI: https://doi.org/10.1103/PhysRevE.79.056310
Abstract
We investigate the effect of confinement on drop formation in microfluidic devices. The presence or absence of drop formation is studied for two immiscible coflowing liquids in a microfluidic channel, where the channel width is considerably larger than the channel height. We show that stability of the inner fluid thread depends on the channel geometry: when the width of the inner fluid is comparable to or larger than the channel height, hydrodynamic instabilities are suppressed, and a stable jet that does not break into drops results; otherwise, the inner fluid breaks into drops, in either a dripping or jetting regime. We present a model that accounts for the data and experimentally exploit this effect of geometric confinement to induce the breakup of a jet at a spatially defined location.
Article Text
References (28)
- Lord Rayleigh, Proc. R. Soc. London 29, 71 (1879).
- Lord Rayleigh, Proc. London Math. Soc. S1–10, 4 (1878).
- J. Eggers, Rev. Mod. Phys. 69, 865 (1997).
- M. San Miguel, M. Grant, and J. D. Gunton, Phys. Rev. A 31, 1001 (1985).
- H. A. Stone, A. D. Stroock, and A. Ajdari, Annu. Rev. Fluid Mech. 36, 381 (2004).
- G. F. Christopher and S. L. Anna, J. Phys. D 40, R319 (2007).
- T. Thorsen, R. W. Roberts, F. H. Arnold, and S. R. Quake, Phys. Rev. Lett. 86, 4163 (2001).
- S. L. Anna, N. Bontoux, and H. A. Stone, Appl. Phys. Lett. 82, 364 (2003).
- M. He, J. S. Edgar, G. D. M. Jeffries, R. M. Lorenz, J. P. Shelby, and D. T. Chiu, Anal. Chem. 77, 1539 (2005).
- J. E. Reiner, A. M. Crawford, R. B. Kishore, L. S. Goldner, K. Helmerson, and M. K. Gilson, Appl. Phys. Lett. 89, 013904 (2006).
- Y.-C. Tan, K. Hettiarachchi, M. Siu, Y.-R. Pan, and A. Lee, J. Am. Chem. Soc. 128, 5656 (2006).
- C. Priest, S. Herminghaus, and R. Seemann, Appl. Phys. Lett. 88, 024106 (2006).
- K. Ahn, C. Kerbage, T. P. Hunt, R. M. Westervelt, D. R. Link, and D. A. Weitz, Appl. Phys. Lett. 88, 024104 (2006).
- D. R. Link, S. L. Anna, D. A. Weitz, and H. A. Stone, Phys. Rev. Lett. 92, 054503 (2004).
- J.-U. Shim, G. Cristobal, D. R. Link, T. Thorsen, Y. Jia, K. Piattelli, and S. Fraden, J. Am. Chem. Soc. 129, 8825 (2007).
- B. Zheng, J. D. Tice, and R. F. Ismagilov, Anal. Chem. 76, 4977 (2004).
- A. Sgro, P. Allen, and D. Chiu, Anal. Chem. 79, 4845 (2007).
- K. B. Migler, Phys. Rev. Lett. 86, 1023 (2001).
- Y. Son, N. Martys, J. Hagedorn, and K. Migler, Macromolecules 36, 5825 (2003).
- P. Guillot, A. Colin, and A. Ajdari, Phys. Rev. E 78, 016307 (2008).
- P. Guillot, A. Colin, A. S. Utada, and A. Ajdari, Phys. Rev. Lett. 99, 104502 (2007).
- C. E. Hickox, Phys. Fluids 14, 251 (1971).
- D. C. Duffy, J. C. McDonald, O. A. Schueller, and G. M. Whitesides, Anal. Chem. 70, 4974 (1998).
- O. I. del Río and A. W. Neumann, J. Colloid Interface Sci. 196, 136 (1997).
- C. Cramer, P. Fischer, and E. J. Windhab, Chem. Eng. Sci. 59, 3045 (2004).
- A. S. Utada, A. Fernandez-Nieves, H. A. Stone, and D. A. Weitz, Phys. Rev. Lett. 99, 094502 (2007).
- A. Nadim, A. Borhan, and H. Haj-Hariri, J. Colloid Interface Sci. 181, 159 (1996).
- S. Sugiura, M. Nakajima, and M. Seki, Langmuir 18, 5708 (2002).