Dynamics of bead formation, filament thinning and breakup in weakly viscoelastic jets

Journal of Fluid Mechanics

Volumn 665, Issue , 2010, Pages 46-56

  Ardekani, A M ^a   Sharma, V ^a   McKinley, G H ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

jets; rheology; viscoelasticity

Indexed keywords

JETS; RHEOLOGY; RHEOMETERS; VISCOSITY;

DIFFERENT STAGES; EXTENSIONAL VISCOSITY; GIESEKUS FLUIDS; NONLINEAR FREE SURFACES; PARAMETER SPACES; PHYSICAL PROCESS; SPATIOTEMPORAL EVOLUTION; TEMPORAL EVOLUTION;

VISCOELASTICITY;

CAPILLARY PRESSURE; JET; NUMERICAL MODEL; RHEOLOGY; VISCOELASTICITY; VISCOSITY;

EID: 79951643954     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112010004738     Document Type: Article

References (25)

1. Anna, S. L., McKinley, G. H., Nguyen, D. A., Sridhar, T., Muller, S. J., Huang, J. & James, D. F. 2001 An interlaboratory comparison of measurements from filament-stretching rheometers using common test fluids. J. Rheol. 45, 83-114.
2. Ardekani, A. M., Sharma, V. & McKinley, G. H. 2010 Jetting and breakup ofweakly viscoelastic liquids. In 16th US National Congress of Theoretical and Applied Mechanics (USNCTAM2010-912), 17 June-2 July 2010, State College, Pennsylvania.
3. Basaran, O. A. 1992 Nonlinear oscillation of viscous liquid drops. J. Fluid Mech. 241, 169-198.
4. Bauer, H. F. & Eidel, W. 1987 Vibration of a visco-elastic spherical immiscible liquid system. Z. Angew. Math. Mech. 67, 525-535. (Pubitemid 18550204)
5. Bhat, P. P., Appathurai, S., Harris, M. T., Pasquali, M., McKinley, G. H. & Basaran, O. A. 2010 Formation of beads-on-a-string structures during breakup of viscoelastic filaments. Nature Phys. 6 (8), 625-631.
6. Bird, R. B., Armstrong, R. C. & Hassager, O. 1987 Dynamics ofPolymeric Liquids. Wiley.
7. Bousfield, D. W., Keunings, R., Marrucci, G. & Denn, M. M. 1986 Nonlinear analysis of the surface-tension driven breakup ofviscoelastic filaments. J. Non-Newtonian Fluid Mech. 21 (1), 79-97. (Pubitemid 16547672)
8. Brenn, G., Liu, Z. & Durst, F. 2000 Linear analysis of the temporal instability of axisymmetrical non-Newtonian liquidjets. Intl J. Multiphase Flow 26, 1621-1644. (Pubitemid 30491734)
9. Clasen, C., Eggers, J., Fontelos, M. A., Li, J. & McKinley, G. H. 2006 The beads-on-string structure of viscoelastic threads. J. Fluid Mech. 556, 283-308. (Pubitemid 43842427)
10. Eggers, J. 1997 Nonlinear dynamics and breakup offree-surface flows. Rev. Mod. Phys. 69, 865-929 (Pubitemid 127360058)
11. Entov, V. M. & Hinch, E. J. 1997 Effect of a spectrum of relaxation times on the capillary thinning of a filament of elastic liquid. J. Non-Newtonian Fluid Mech. 72 (1), 31-53 (Pubitemid 127438581)
12. Entov, V. M. & Yarin, A. L. 1984 Influence of elastic stresses on the capillary breakup of dilute polymer solutions. Fluid Dyn. 19, 21-29. (Pubitemid 14644022)
13. Fontelos, M. A. & Li, J. 2004 On the evolution and rupture of filaments in Giesekus and FENE models. J. Non-Newtonian Fluid Mech. 118 (1), 1-16. (Pubitemid 38662385)
14. Forest, M. G. & Wang, Q. 1990 Change-of-type behavior in viscoelastic slender jet models. J. Theor. Comput. Fluid Dyn. 2, 1-25.
15. Giesekus, H. 1982 A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility. J. Non-Newtonian Fluid Mech. 11 (1-2), 69-109. (Pubitemid 12567281)
16. Goldin, M., Yerushalmi, J., Pfeffer, R. & Shinnar, R. 1969 Breakup of a laminar capillaryjet of a viscoelastic fluid. J. Fluid Mech. 38, 689-711.
17. Hoath, S. D., Hutchings, I. M., Martin, G. D., Tuladhar, T. R., Mackley, M. R. & Vadillo, D. 2009 Links between ink rheology, drop-on-demand jet formation, and printability. J. Imaging Sci. Technol. 53, 041208.
18. Khismatullin, D. B. & Nadim, A. 2001 Shape oscillations of a viscoelastic drop. Phys. Rev. E 63 (6, part 1), 061508.
19. Lamb, H. 1932 Hydrodynamics. Dover.
20. Li, J. & Fontelos, M. A. 2003 Drop dynamics on the beads-on-string structure for viscoelasticjets: a numerical study. Phys. Fluids 15 (4), 922-937. (Pubitemid 36551599)
21. Middleman, S. 1965 Stability of a viscoelastic jet. Chem. Engng Sci. 20, 1037-1040.
22. Morrison, N. F. & Harlen, O. G. 2010 Viscoelasticity in inkjet printing. Rheol. Acta 49, 619-632.
23. Rayleigh, L. 1879 On the capillary phenomena ofjets. Proc. R. Soc. Lond. 29, 71-97.
24. Rodd, L. E., Scott, T. P., Cooper-White, J. & McKinley, G. H. 2005 Capillary break-up rheometry of low-viscosity elastic fluids. Appl. Rheol. 15, 12-27.
25. Schümmer, P. & Tebel, K. H. 1983 A new elongational rheometer for polymer solutions. J. Non-Newtonian Fluid Mech. 12, 331-347. (Pubitemid 13557220)