Abstract
The deformation of viscoelastic droplets rising in non-Newtonian fluids is examined experimentally. Similarly to the case of bubbles and Newtonian droplets traveling in viscoelastic fluids, a critical volume exists but there is no jump in velocity nor a drastic change in droplet geometry. Nevertheless, a tail appears as well as a negative wake. For large-enough volumes, the thickness of the tail is much larger than that for the Newtonian droplets; this is also true for the magnitude of the negative wake and for the extension of the tail. The head of the droplet is subjected to a bi-axial elongation which deforms the spherical part of the droplet converting it into an elongated shape. This elongated shape blends into a tail and the droplet is converted into a viscous elongated teardrop. The tail is then subjected to a uniaxial extensional flow under the action of elongational stresses along the length of the tail. This extensional flow is counteracted by the shear stresses acting on the interface between the tail and the outer surrounding fluid. This interaction will determine the tail breakup. The influence of the elastic properties of the surrounding fluid and the extensional viscosity of the droplet will be responsible for the length and thickness of the tail as well as for its breakup mechanism.
References
Arigo MT, McKinley GH (1998) An experimental investigation of negative wakes behind spheres settling in a shear-thinning viscoelastic fluid. Rheol Acta 37:307–327
Astarita G, Apuzzo G (1965) Motion of gas bubbles in non-Newtonian liquids. AICHE J 11:815–820
Bisgaard C, Hassager O (1982) An experimental investigation of velocity fields around spheres and bubbles moving in non-Newtonian liquids. Rheol Acta 21:537
Broadbent J, Mena B (1974) Slow flow of an elastico-viscous fluid past cylinders and spheres. Chem Eng J 8(1):11–19
Caswell B, Manero O and Mena B (2004) Recent developments on the slow viscoelastic flow past spheres and bubbles. In: DM Binding and K Walters (eds.) Rheology reviews. 197–223.
Cruz-Mena J, Serrania F, Mena B (2002) Some theoretical and experimental relations between simple shearing and simple extension. Rev Mex Fis 48(S1):51–56
Ghannam MT, Esmail MN (1998) Rheological properties of aqueous polyacrylamide solutions. J Appl Polym Sci 69:1587–1597
Hassager O (1979) Negative wake behind bubbles in non-Newtonian liquids. Nature 279:402
Herrera-Velarde JR, Zenit R, Chehata D, Mena B (2003) The flow of non-Newtonian fluids around bubbles and its connection to the jump discontinuity. J Non-Newtonian Fluid Mech 111:199–209
Hudson NE, Ferguson J (1994) The anomalous shear flow properties of S1. J Non-Newtonian Fluid Mech 52:105–119
Manero O, Mena B (1981) On the slow flow of viscoelastic fluids past a circular cylinder. J Non-Newtonian Fluid Mech 9(3–4):379–387
Mena B, Manero O, Leal LG (1987) The influence of rheological properties on the slow flow past spheres. J Non-Newtonian Fluid Mech 26(2):247–275
Ortiz SL (2015) Thesis, Fac. Ingenieria, UNAM
Rios S, Diaz J, Galindo A, Soto E, Calderas F, Mena B (2002) Instrumentation and start up of a new elongational rheometer with a preshearing history. Rev Scientific Instruments 73(8):3007–3011
Rodrigue D, De Kee D (1998) Bubble velocity jump discontinuity in polyacrylamide solutions; a photographic study. Rheol Acta 37:307–327
Rodrigue D, De Kee D, Chan Man Fong C (1998) Bubble velocities: further developments on the jump discontinuity. J Non-Newtonian Fluid Mech 79:45–55
Soto E, Goujon C, Zenit R, Manero O (2006) A study of velocity discontinuity for single air bubbles rising in an associative polymer. Phys Fluids 18:121510
Willenbacher N, Hingmann R (1994) Shear and elongational flow properties of fluid S1. J Non-Newtonian Fluid Mech 52:163–176
Acknowledgments
The authors wish to acknowledge Prof. K. Breuer for allowing us to use his lab facilities during the sabbatical leave of B.M. at Brown University. Also, we acknowledge the grant given by DGAPA (UNAM) through project PAPIIT IN106512. Useful comments from the referees are also gratefully acknowledged.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ortiz, S.L., Lee, J.S., Figueroa-Espinoza, B. et al. An experimental note on the deformation and breakup of viscoelastic droplets rising in non-Newtonian fluids. Rheol Acta 55, 879–887 (2016). https://doi.org/10.1007/s00397-016-0970-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00397-016-0970-3