Equation of change for ellipsoidal drops in viscous flow

Journal of Non-Newtonian Fluid Mechanics

Volumn 78, Issue 2-3, 1998, Pages 227-241

  Maffettone, P L ^a   Minale, M ^a  

^a Laboratori Giovanni Astarita P   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

FORECASTING; MATHEMATICAL MODELS; SHEAR FLOW; VELOCITY; VISCOSITY; VISCOUS FLOW;

CHANGE EQUATION; ELLIPSOIDAL DROP; ELONGATIONAL FLOW; TAYLOR THEORY; VISCOSITY RATIO;

RHEOLOGY;

MISCIBILITY; PLASTIC; SHEAR FLOW; VISCOUS FLOW;

EID: 0032142830     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(98)00065-2     Document Type: Article

References (24)

1. L.A. Utracki, Polymer Alloys and Blends, Hanser, Munich, 1989.
2. Vinckier I., Moldenaers P., Mewis J. Relationship between rheology and morphology of model blends in steady shear flow. J. Rheol. 40:1996;613-631.
3. Vinckier I., Mewis J., Moldenaers P. Stress relaxation as a microstructural probe for immiscible polymer blends. Rheol. Acta. 36:1997;513-523.
4. Batchelor G.K. The stress system in a suspension of force-free particles. J. Fluid Mech. 41:1970;545-570.
5. Doi M., Ohta T. Dynamics and rheology of complex interfaces I. J. Chem. Phys. 95:1991;1242-1248.
6. Taylor G.I. The viscosity of a fluid containing small drops of another fluid. Proc. R. Soc. A. 138:1932;41-48.
7. Taylor G.I. The formation of emulsion in definable field of flow. Proc. R. Soc. A. 146:1934;501-523.
8. Rallison J.M. The deformation of small viscous drops and bubbles in shear flows. Ann. Rev. Fluid Mech. 16:1984;45-66.
9. Stone H.W. Dynamics of drop deformation and breakup in viscous fluids. The viscosity of a fluid containing small drops of another fluid. Ann. Rev. Fluid Mech. 26:1994;65-102.
10. Chaffey C.E., Brenner H. A second-order theory for shear deformation of drops. J. Colloid Interface Sci. 24:1967;258-269.
11. Cox R.G. The deformation of a drop in a general time-dependent fluid flow. J. Fluid Mech. 37:1969;601-623.
12. Frankel N.A., Acrivos A. The constitutive equation for a dilute emulsion. J. Fluid Mech. 44:1970;66-78.
13. Barthes-Biesel D., Acrivos A. Deformation and burst of a liquid droplet freely suspended in a linear shear field. J. Fluid Mech. 61:1973;1-21.
14. Rallison J.M. Note on the time-dependent deformation of a viscous drop which is almost spherical. J. Fluid Mech. 98:1980;625-633.
15. Torza S., Cox R.G., Mason S.G. Particle motions in sheared suspensions. J. Colloid Interface Sci. 38:1972;395-411.
16. Bentley B.J., Leal L.G. An experimental investigation of drop deformation and breakup in steady two-dimensional linear flows. J. Fluid Mech. 167:1986;241-283.
17. Rallison J.M. A numerical study of the deformation and burst of a viscous drop in general shear flows. J. Fluid Mech. 109:1981;465-482.
18. Kennedy M.R., Pozrikidis C., Skalak R. Motion and deformation of liquid drops, and the rheology of dilute emulsions in simple shear flow. Computers Fluids. 23:1994;251-278.
19. S. Guido, M. Villone, Three dimensional shape of a drop under simple shear flow. J. Rheol. (1997) in press.
20. Olbricht W.L., Rallison J.M., Leal L.G. Strong flow criteria based on microstructure deformation. J. Non-Newtonian Fluid Mech. 10:1982;291-318.
21. Elemans P.H.M., Bos H.L., Janssen J.M.H., Meijer H.E.H. Transient phenomena in dispersive mixing. Chem. Eng. Sci. 48:1993;267-276.
22. Delaby I., Ernst B., Germain Y., Muller R. Droplet deformation in polymer blends during uniaxial elongational flow: Influence of viscosity ratio for large capillary numbers. J. Rheol. 38:1994;1705-1720.
23. H.P. Grace, Dispersion phenomena in high viscosity immiscible fluid systems and application of static mixers as dispersion devices in such systems, Eng. Found. Res. Conf. Mixing, 3rd. (1971) Andover. N.H. republished Chem. Eng. Comm. 14 (1982) 255-277.
24. H.P. Grace, Dispersion phenomena in high viscosity immiscible fluid systems and application of static mixers as dispersion devices in such systems, Eng. Found. Res. Conf. Mixing, 3rd. (1971) Andover. N.H. republished Chem. Eng. Comm. 14 (1982) 255-277.