RT Journal Article
SR 00
ID 10.1063/1.3516640
A1 Perales Perales, JosÃ© Manuel
A1 Vega de Prada, JosÃ© Manuel
T1 One-dimensional dynamics of nearly unstable axisymmetric liquid bridges
JF Physics of Fluids
YR 2010
FD 2010-11
VO 22
IS 11
SP 112114
OP 1-112114-10
AB A general one-dimensional model is considered that describes the dynamics of slender, axisymmetric, noncylindrical liquid bridges between two equal disks. Such model depends on two adjustable parameters and includes as particular cases the standard Lee and Cosserat models. For slender liquid bridges, the model provides sufficiently accurate results and involves much easier and faster calculations than the full three-dimensional model. In particular, viscous effects are easily accounted for. The one-dimensional model is used to derive a simple weakly nonlinear description of the dynamics near the instability limit. Small perturbations of marginal instability conditions are also considered that account for volume perturbations, nonequality of the supporting disks, and axial gravity. The analysis shows that the dynamics breaks the reflection symmetry on the midplane between the supporting disks. The weakly nonlinear evolution of the amplitude of the perturbation is given by a Duffing equation, whose coefficients are calculated in terms of the slenderness as a part of the analysis and exhibit a weak dependence on the adjustable parameters of the one-dimensional model. The amplitude equation is used to make quantitative predictions of both the (first stage of) breakage for unstable configurations and the (slow) dynamics for stable configurations.
PB American Institute of Physics
SN 1070-6631
LK http://oa.upm.es/5959/
UL http://pof.aip.org/resource/1/phfle6/v22/i11/p112114_s1?isAuthorized=no