P E Arratia et al 2009 New J. Phys. 11 115006 doi:10.1088/1367-2630/11/11/115006
P E Arratia1, L-A Cramer1, J P Gollub2,3 and D J Durian2
Show affiliationsPart of Focus on Micro- and Nanofluidics
We investigate the effects of fluid elasticity on the dynamics of filament thinning and drop breakup processes in a cross-slot microchannel. Elasticity effects are examined using dilute aqueous polymeric solutions of molecular weight (MW) ranging from 1.5×103 to 1.8×107. Results for polymeric fluids are compared to those for a viscous Newtonian fluid. The shearing or continuous phase that induces breakup is mineral oil. All fluids possess similar shear-viscosity (~0.2 Pa s) so that the viscosity ratio between the oil and aqueous phases is close to unity. Measurements of filament thickness as a function of time show different thinning behavior for the different aqueous fluids. For Newtonian fluids, the thinning process shows a single exponential decay of the filament thickness. For low MW fluids (103, 104 and 105), the thinning process also shows a single exponential decay, but with a decay rate that is slower than for the Newtonian fluid. The decay time increases with polymer MW. For high MW (106 and 107) fluids, the initial exponential decay crosses over to a second exponential decay in which elastic stresses are important. We show that the decay rate of the filament thickness in this exponential decay regime can be used to measure the steady extensional viscosity of the fluids. At late times, all fluids cross over to an algebraic decay which is driven mainly by surface tension.
47.55.df Breakup and coalescence
07.10.Cm Micromechanical devices and systems
47.60.-i Flow phenomena in quasi-one-dimensional systems
47.57.Ng Polymers and polymer solutions
Issue 11 (November 2009)
Received 26 July 2009
Published 4 November 2009
P E Arratia et al 2009 New J. Phys. 11 115006
L R Gasques et al 2005 J. Phys. G: Nucl. Part. Phys. 31 S1859
Tetsuichi Kishishita et al 2009 ApJ 697 L1
H. W. W. Spoon et al. 2006 ApJ 638 759
Ye Song et al 2007 J. Phys. D: Appl. Phys. 40 3541
Vladislav A Bogoyavlenskiy 2002 J. Phys. A: Math. Gen. 35 2533
R D Kenway 1989 Rep. Prog. Phys. 52 1475
John S. Carr et al. 2004 ApJ 603 213
N. Drory et al. 2004 ApJ 608 742
N. Cretton et al. 1999 ApJS 124 383