A comment on self-similar breakup for inertialess Newtonian liquid jets

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

Volumn 70, Issue 3, 2005, Pages 353-358

  Renardy, Michael ^a  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

Jet breakup; Similarity solutions; Singularity formation

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; DROP BREAKUP; JETS; MATHEMATICAL MODELS;

JET BREAKUP; SIMILARITY SOLUTIONS; SINGULARITY FORMATION;

NEWTONIAN LIQUIDS;

EID: 20444383465     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/hxh040     Document Type: Article

References (8)

1. Brenner, M. P., Lister, J. R. & Stone, H. A. (1996) Pinching threads, singularities and the number 0·0304.... Phys. Fluids, 8, 2827-2836.
2. Eggers, J. (1997) Nonlinear dynamics and breakup of free-surface flows. Rev. Mod. Phys., 69, 865-929.
3. Giga, Y. & Kohn, R. V. (1989) Nondegeneracy of blowup for semilinear heat equations. Commun. Pure Appl. Math., 42, 845-884.
4. Lister, J. R. & Stone, H. A. (1998) Capillary breakup of a viscous thread surrounded by another viscous fluid. Phys. Fluids, 10, 2758-2764.
5. Papageorgiou, D. T. (1995) On the breakup of viscous liquid threads. Phys. Fluids, 7, 1529-1544.
6. Renardy, M. (1994) Some comments on the surface-tension driven break-up (or the lack of it) of viscoelastic jets. J. Non-Newtonian Fluid Mech., 51, 97-107.
7. Renardy, M. (2001) Finite time breakup of viscous filaments. Z. Angew. Math. Phys., 52, 881-887.
8. Rothert, A., Richter, R. & Rehberg, I. (2001) Transition from symmetric to asymmetric scaling function before drop pinch-off. Phys. Rev. Lett., 87, 4501-4504.