Effect of confinement and viscosity ratio on the dynamics of single droplets during transient shear flow

Journal of Rheology

Volumn 52, Issue 6, 2008, Pages 1459-1475

  Vananroye, Anja ^a   Cardinaels, Ruth ^a   Van Puyvelde, Peter ^a   Moldenaers, Paula ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Confinement; Single droplet behavior; Transient shear flow; Viscosity ratio

Indexed keywords

CAPILLARITY; CAPILLARY FLOW; DEFORMATION; DROP FORMATION; DROPS; FLUID DYNAMICS; FORECASTING; HYDRODYNAMICS; POLYMER BLENDS; SHEAR FLOW; SILICONES; VISCOSITY;

CONFINEMENT; CONFINEMENT EFFECTS; COUNTERROTATING; DEGREE OF CONFINEMENTS; DROPLET BEHAVIORS; DROPLET DEFORMATIONS; DROPLET SHAPES; EXPERIMENTAL DATUMS; FLOW DIRECTIONS; GAP SPACINGS; HIGH SHEAR RATES; LOW CAPILLARY NUMBERS; MODEL RESULTS; NON NEWTONIANS; POLYISOBUTYLENE; SINGLE DROPLET BEHAVIOR; SINGLE DROPLETS; START-UP; TRANSIENT SHEAR FLOW; TRANSIENT SHEAR FLOWS; VISCOSITY RATIO; VISCOSITY RATIOS;

DROP BREAKUP;

EID: 56049086420     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.2978956     Document Type: Article

References (36)

1. Cox, R. G., " The deformation of a drop in a general time-dependent fluid flow.," J. Fluid Mech. 37, 601-623 (1969).
2. de Bruijn, R. A., " Deformation and breakup of droplets in simple shear flows.," Ph.D. Thesis, Eindhoven University of Technology, 1989.
3. Frankel, N. A., and A. Acrivos, " The constitutive equation for a dilute emulsion.," J. Fluid Mech. 44, 66-78 (1970).
4. Grace, H. P., " Dispersion phenomena in high viscosity immiscible fluid systems and application of static mixers as dispersion devices in such systems.," Chem. Eng. Commun. 14, 225-277 (1982).
5. Guido, S., and F. Greco, " Dynamics of a liquid drop in a flowing immiscible liquid.," Rheol. Rev. 2004, 99-142 (2004).
6. Janssen, P. J. A., and P. D. Anderson, " Boundary integral method for drop deformation between parallel plates.," Phys. Fluids 19, 043602 (2007).
7. Kobayashi, H., and M. J. Owen, " Surface properties of fluorosilicones.," Trends Polym. Sci. 3, 330-335 (1995).
8. Link, D. R., S. L. Anna, D. A. Weitz, and H. A. Stone, " Geometrically mediated breakup of drops in microfluidic devices.," Phys. Rev. Lett. 92, 054503 -054506 (2004).
9. Maffettone, P. L., and M. Minale, " Equation of change for ellipsoidal drops in viscous flows.," J. Non-Newtonian Fluid Mech. 78, 227-241 (1998).
10. Maffettone, P. L., and M. Minale, " Erratum to "Equation of change for ellipsoidal drops in viscous flows" [J. Non-Newtonian Fluid Mech. 78 (1998) 227-241].," J. Non-Newtonian Fluid Mech. 84, 105-106 (1999).
11. Migler, K. B., " String formation in sheared polymer blends: coalescence, break up and finite size effects.," Phys. Rev. Lett. 86, 1023-1026 (2001).
12. Minale, M., P. Moldenaers, and J. Mewis, " Effect of shear history on the morphology of immiscible polymer blends.," Macromolecules 30, 5470-5475 (1997).
13. Minale, M., " A phenomenological model for wall effects on the deformation of an ellipsoidal drop in viscous flow.," Rheol. Acta 47, 667-675 (2008).
14. Ottino, J. M., P. De Roussel, S. Hansen, and D. V. Khakhar, " Mixing and dispersion of viscous fluids and powdered solids.," Adv. Chem. Eng. 25, 105-204 (1999).
15. Pathak, J. A., M. C. Davis, S. D. Hudson, and K. B. Migler, " Layered droplet microstructures in sheared emulsions: finite-size effects.," J. Colloid Interface Sci. 255, 391-402 (2002).
16. Pathak, J. A., and K. B. Migler, " Droplet string deformation and string stability during flow in micro-confined emulsions.," Langmuir 19, 8667-8674 (2003).
17. Rallison, J. M., " Note on the time-dependent deformation of a viscous drop which is almost spherical.," J. Fluid Mech. 98, 625-633 (1980).
18. Rallison, J. M., " The deformation of small viscous drops and bubbles in shear flows.," Annu. Rev. Fluid Mech. 16, 45-66 (1984).
19. Renardy, Y., " The effects of confinement and inertia on the production of droplets.," Rheol. Acta 46, 521-529 (2007).
20. Shapira, M., and S. Haber, " Low Reynolds number motion of a droplet in shear flow including wall effects.," Int. J. Multiphase Flow 16, 305-321 (1990).
21. Sibillo, V., G. Pasquariello, M. Simeone, V. Cristini, and S. Guido, " Drop deformation in microconfined shear flow.," Phys. Rev. Lett. 97, 054502 (2006).
22. Sigillo, I., L. di Santo, S. Guido, and N. Grizzuti, " Comparative measurements of interfacial tension in a model polymer blend.," Polym. Eng. Sci. 37, 1540-1549 (1997).
23. Stone, H. A., " Dynamics of drop deformation and breakup in viscous fluids.," Annu. Rev. Fluid Mech. 26, 65-102 (1994).
24. Stone, H. A., A. D. Stroock, and A. Ajdari, " Engineering flow in small devices: microfluidics toward a lab-on-a-chip.," Annu. Rev. Fluid Mech. 36, 381-411 (2004).
25. Taylor, G. I., " The viscosity of a fluid containing small drops of another fluid.," Proc. R. Soc. London, Ser. A 138, 41-48 (1932).
26. Taylor, G. I., " The formation of emulsions in definable fields of flow.," Proc. R. Soc. London, Ser. A 146, 501-523 (1934).
27. Thorsen, T., R. W. Roberts, F. H. Arnold, and S. R. Quake, " Dynamic pattern formation in a vesicle-generating microfluidic device.," Phys. Rev. Lett. 86, 4163-4166 (2001).
28. Tucker, C. L., and P. Moldenaers, " Microstructural evolution in polymer blends.," Annu. Rev. Fluid Mech. 34, 177-210 (2002).
29. Tufano, C., G. W. M. Peters, and H. E. H. Meijer, " Confined flow of polymer blends.," Langmuir 24, 4494-4505 (2008).
30. Utada, A. S., E. Lorenceau, D. R. Link, P. D. Kaplan, and H. A. Stone, " Monodisperse double emulsions generated from a microcapillary device.," Science 308, 537-541 (2005).
31. Vananroye, A., P. Van Puyvelde, and P. Moldenaers, " Structure development in confined polymer blends: steady-state shear flow and relaxation.," Langmuir 22, 2273-2280 (2006a).
32. Vananroye, A., P. Van Puyvelde, and P. Moldenaers, " Effect of confinement on droplet breakup in sheared emulsions.," Langmuir 22, 3972-3974 (2006b).
33. Vananroye, A., P. Van Puyvelde, and P. Moldenaers, " Morphology development during microconfined flow of viscous emulsions.," Appl. Rheol. 16, 242-247 (2006c).
34. Vananroye, A., P. Van Puyvelde, and P. Moldenaers, " Effect of confinement on the steady-state behavior of single droplets during shear flow.," J. Rheol. 51, 139-153 (2007).
35. Vananroye, A., P. J. A. Janssen, P. D. Anderson, P. Van Puyvelde, and P. Moldenaers, " Microconfined equiviscous droplet deformation: comparison of experimental and numerical results.," Phys. Fluids 20, 013101 (2008).
36. Vinckier, I., P. Moldenaers, and J. Mewis, " Relationship between rheology and morphology of model blends in steady shear flow.," J. Rheol. 40, 613-631 (1996).