Drop shape dynamics of a Newtonian drop in a non-Newtonian matrix during transient and steady shear flow

Journal of Rheology

Volumn 51, Issue 2, 2007, Pages 261-273

  Verhulst, Kristof ^a   Moldenaers, Paula ^a   Minale, Mario ^b  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b SECOND UNIVERSITY OF NAPLES   (Italy)

Author keywords

Blends; Drop shape dynamics; Matrix elasticity

Indexed keywords

DATA STRUCTURES; NEWTONIAN FLOW; RELAXATION PROCESSES; RHEOLOGY; SHEAR FLOW; STEADY FLOW;

DROP SHAPE DYNAMICS; MATRIX ELASTICITY; QUANTITATIVE PREDICTION;

DROPS;

EID: 33847647950     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.2426973     Document Type: Article

References (26)

1. Binnington, R. J., and D. V. Boger, " Remarks on non-shear thinning elastic fluids., " Polym. Eng. Sci. 26, 133-138 (1986).
2. Boger, D. V., " A highly elastic constant-viscosity fluid., " J. Non-Newtonian Fluid Mech. 3, 87-91 (1977).
3. Boger, D. V., and H. Nguyen, " A model viscoelastic fluid., " Polym. Eng. Sci. 18, 1037-1043 (1978).
4. Greco, F., " Drop deformation for non-Newtonian fluids in slow flows., " J. Non-Newtonian Fluid Mech. 107, 111-113 (2002).
5. Guido, S., and F. Greco, " Dynamics of a liquid drop in a flowing immiscible liquid., " in Rheology Reviews 2004, edited by, D. M. Binding, and, K. Walters, (The British Society of Rheology, Aberystwyth, 2004) pp. 99-142.
6. Guido, S., and M. Villone, " Three-dimensional shape of a drop under simple shear flow., " J. Rheol. 42, 395-415 (1998).
7. Guido, S., M. Simeone, and F. Greco, " Deformation of a Newtonian drop in a viscoelastic matrix under steady shear flow. Experimental validation of slow flow theory., " J. Non-Newtonian Fluid Mech. 114, 65-82 (2003).
8. Larson, R. G., " Instabilities in viscoelastic flows., " Rheol. Acta 31, 213-263 (1992).
9. Maffettone, P. L., and F. Greco, " Ellipsoidal drop model for single drop dynamics with non-Newtonian fluids., " J. Rheol. 48, 83-100 (2004).
10. Maffettone, P. L., F. Greco, M. Simeone, and S. Guido, " Analysis of start-up dynamics of a single drop through an ellipsoidal drop model for non-Newtonian fluids., " J. Non-Newtonian Fluid Mech. 126, 145-151 (2005).
11. Magda, J. J., L. Lou, S. G. Baek, and K. L. Devries, " Second normal stress difference of a Boger fluid., " Polymer 32, 2000-2009 (1991).
12. Minale, M., " Deformation of a non-Newtonian ellipsoidal drop in a non-Newtonian matrix: Extension of Maffettone-Minale model., " J. Non-Newtonian Fluid Mech. 123, 151-160 (2004).
13. Quinzani, L. M., G. H. McKinley, R. A. Brown, and R. C. Armstrong, " Modeling the rheology of polyisobutylene solutions., " J. Rheol. 34, 705-748 (1990).
14. Sibillo, V., M. Simeone, and S. Guido, " Break-up of a Newtonian drop in a viscoelastic matrix under simple shear flow., " Rheol. Acta 43, 449-456 (2004).
15. Sibillo, V., M. Simeone, S. Guido, F. Greco, and P. L. Maffettone, " Start-up and retraction dynamics of a Newtonian drop in a viscoelastic matrix under simple shear flow., " J. Non-Newtonian Fluid Mech. 134, 27-32 (2006).
16. Taylor, G. I., " The viscosity of a fluid containing small drops of another fluid., " Proc. R. Soc. London, Ser. A 138, 41-48 (1932).
17. Taylor, G. I., " The formation of emulsion in definable field of flow., " Proc. R. Soc. London, Ser. A 146, 501-523 (1934).
18. Tretheway, D. C., and L. G. Leal, " Deformation and relaxation of Newtonian drops in planar extensional flows of a Boger fluid., " J. Non-Newtonian Fluid Mech. 99, 81-108 (2001).
19. Truesdell, C. A., and W. Noll, The non-linear field theories of mechanics, in Encyclopedia of Physics (Springer, Berlin, 1965), Vol. III/3.
20. Utracki, L. A., Polymer Alloys and Blends (Hanser, Munich, 1989).
21. 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).
22. Vrentas, J. S., D. C. Venerus, and M. Vrestas, " An exact analysis of reservoir effects for rotational viscometers., " Chem. Eng. Sci. 46, 33-37 (1991).
23. Yu, W., M. Bousmina, C. Zhou, and C. L. Tucker III, " Theory for drop deformation in viscoelastic systems., " J. Rheol. 48, 417-438 (2004).
24. Yu, W., C. Zhou, and M. Bousmina, " Theory of morphology evolution in mixtures of viscoelastic immiscible components., " J. Rheol. 49, 215-236 (2005).
25. Yue, P., J. J. Feng, C. Liu, and J. Shen, " Viscoelastic effects on drop deformation in steady shear., " J. Fluid Mech. 540, 427-437 (2005a).
26. Yue, P., J. J. Feng, C. Liu, and J. Shen, " Diffuse-interface simulations of drop coalescence and retraction in viscoelastic fluids., " J. Non-Newtonian Fluid Mech. 129, 163-176 (2005b).