ANZIAM J. 46(E) ppC150--C166, 2005.

A parametric study of droplet deformation through a microfluidic contraction

D. J. E. Harvie

M. R. Davidson

J. J. Cooper-White

M. Rudman

(Received 29 November 2004, revised 18 February 2005)

Abstract

A numerical parametric study of droplet deformation within an axisymmetric micro-fluidic contraction is performed. The simulations use a transient Volume of Fluid finite volume algorithm and cover parameter ranges representative of micro-sized liquid-liquid systems. We consider two disperse continuous viscosity ratios. When the phases have equal viscosities, the predicted droplet shapes range from short `slugs' constrained by the contraction walls through to long thin `filaments'. When the disperse phase viscosity is lower than that of the continuous phase, capillary waves and other instabilities develop along the droplet surface, leading to more complex shape development and associated fluid dynamics.

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Authors

D. J. E. Harvie
Dept. Chemical & Biomolecular Engineering, University of Melbourne, Australia. mailto:daltonh@unimelb.edu.au
M. R. Davidson
Dept. Chemical & Biomolecular Engineering, University of Melbourne, Australia.
J. J. Cooper-White
Div. of Chemical Engineering, University of Queensland, Australia.
M. Rudman
CSIRO, Manufacturing & Infrastructure Technology, Melbourne, Australia.

Published April 19, 2005. ISSN 1446-8735

References

  1. S. L. Anna, N. Bontoux, and H. A. Stone. Formation of dispersions using `flow focusing' in microchannels. Applied Physics Letters, 82(3):364--366, Jan 20 2002.
  2. M. R. Davidson. {VOF} prediction of drop formation of shear-thinning and yield stress fluids. In 5th International Conference on Multiphase Flow, ICMF'04, Yokohama, Japan, May 30--June 4 2004. Paper No. 501.
  3. J. Eggers. Nonlinear dynamics and breakup of free-surface flows. Reviews of Modern Physics, 69(3):865--929, Jul 1997.
  4. C. D. Han and K. Funatsu. An experimental study of droplet deformation and breakup in pressure-driven flows through converging and uniform channels. Journal of Rheology, 22(2):113--133, 1978.
  5. A. P. Hooper and W. G. C. Boyd. Shear-flow instability at the interface between two viscous fluids. Journal of Fluid Mechanics, 128:507--528, 1983.
  6. W.-K. Lee and R. W. Flumerfelt. Instability of stationary and uniformly moving cylindrical fluid bodies --- i. International Journal of Multiphase Flow, 7:363--383, 1981.
  7. T. R. Powers, D. Zhang, R. E. Goldstein, and H. A. Stone. Propagation of a topological transition: The rayleigh instability. Physics of Fluids, 10(5):1052--1057, 1998.
  8. M. Rudman. A volume-tracking method for incompressible multifluid flows with large density variations. International Journal for Numerical Methods in Fluids, 28:357--378, 1998.
  9. H. A. Stone. Dynamics of drop deformation and breakup in viscous fluids. Annual Review of Fluid Mechanics, 26:65--102, 1994.
  10. H. A. Stone and L. G. Leal. Relaxation and breakup of an initially extended drop in an otherwise quiescent fluid. Journal of Fluid Mechanics, 198:399--427, 1989.
  11. S. Tomotika. On the instability of a cylindrical thread of a viscous liquid surrounded by another viscous fluid. Proceedings of the Royal Society of London, Series A, 150(870):322--337, June 1935.
  12. D. S. Whyte, J. Cooper-White, M. Davidson, A. Lunqvist, and P. Schaerringer. Deformation of a droplet passing through a contraction. In Proceedings of FEDSM2002: 2002 ASME Fluids Engineering Division Summer Meeting, Montreal, Quebec, Canada, July 14--18 2002. ASME.
  13. D. L. Youngs. Time-dependent multimaterial flow with large fluid distortion. In K. Morton and M. Baines, editors, Numerical Methods for Fluid Dynamics, pages 273--285. Academic Press, 1982.