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/content/aip/journal/pof2/27/5/10.1063/1.4921321
1.
1.A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity, 4th ed. (Dover, New York, 1944).
2.
2.K. F. Graff, Wave Motion in Elastic Solids, Dover Books on Physics (Dover Publications, 1991).
3.
3.Lord Rayleigh, “The form of standing waves on the surface of running water,” Proc. London Math. Soc. XV, 6978 (1883).
http://dx.doi.org/10.1112/plms/s1-15.1.69
4.
4.J. Gladden, N. Handzy, A. Belmonte, and E. Villermaux, “Dynamic buckling and fragmentation in brittle rods,” Phys. Rev. Lett. 94, 035503 (2005).
http://dx.doi.org/10.1103/PhysRevLett.94.035503
5.
5.L. Vincent, L. Duchemin, and E. Villermaux, “Remnants from fast liquid withdrawal,” Phys. Fluids 26, 031701 (2014).
http://dx.doi.org/10.1063/1.4867496
6.
6.M. J. Cooker and D. Peregrine, “Pressure–impulse theory for liquid impact problems,” J. Fluid Mech. 297, 193214 (1995).
http://dx.doi.org/10.1017/S0022112095003053
7.
7.B. W. Zeff, B. Kleber, J. Fineberg, and D. P. Lathrop, “Singularity dynamics in curvature collapse and jet eruption on a fluid surface,” Nature 403, 401404 (2000).
http://dx.doi.org/10.1038/35000151
8.
8.A. Antkowiak, N. Bremond, S. Le Dizès, and E. Villermaux, “Short-term dynamics of a density interface following an impact,” J. Fluid Mech. 577, 241250 (2007).
http://dx.doi.org/10.1017/S0022112007005058
9.
9.D. Vella and P. D. Metcalfe, “Surface tension dominated impact,” Phys. Fluids 19, 072108 (2007).
http://dx.doi.org/10.1063/1.2747235
10.
10.L. Vincent, L. Duchemin, and S. Le Dizès, “Forced dynamics of a short viscous liquid bridge,” J. Fluid Mech. 761, 220224 (2014).
http://dx.doi.org/10.1017/jfm.2014.622
11.
11.C. Weber, “Zum zerfall eines flüssigkeitsstrahles,” Z. Angew. Math. Mech. 11, 136154 (1931).
http://dx.doi.org/10.1002/zamm.19310110207
12.
12.J. Eggers and T. F. Dupont, “Drop formation in a one-dimensional approximation of the Navier–Stokes equation,” J. Fluid Mech. 262, 205221 (1994).
http://dx.doi.org/10.1017/S0022112094000480
13.
13.J. Eggers and E. Villermaux, “Physics of liquid jets,” Rep. Prog. Phys. 71, 179 (2008).
http://dx.doi.org/10.1088/0034-4885/71/3/036601
14.
14.M. P. Brenner, J. Eggers, K. Joseph, S. R. Nagel, and X. D. Shi, “Breakdown of scaling in droplet fission at high Reynolds number,” Phys. Fluids 9, 15731590 (1997).
http://dx.doi.org/10.1063/1.869279
15.
15.F. Oberhettinger and L. Badii, Tables of Laplace Transforms (Springer-Verlag, Berlin, 1973).
16.
16.I. N. Sneddon, Fourier Transforms (Dover, New York, 1951).
17.
17.B. Audoly and S. Neukirch, “Fragmentation of rods by cascading cracks: Why spaghetti does not break in half,” Phys. Rev. Lett. 95, 095505 (2005).
http://dx.doi.org/10.1103/PhysRevLett.95.095505
18.
18.J. B. Keller and M. J. Miksis, “Surface tension driven flows,” SIAM J. Appl. Math. 43, 268277 (1983).
http://dx.doi.org/10.1137/0143018
19.
19.D. O’Kelly, J. P. Whiteley, J. M. Oliver, and D. Vella, “Inertial rise of a meniscus on a vertical cylinder,” J. Fluid Mech. 768, R2 (2015).
http://dx.doi.org/10.1017/jfm.2015.89
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/content/aip/journal/pof2/27/5/10.1063/1.4921321
2015-05-15
2016-12-03

Abstract

We study the short-time dynamics of a liquid ligament, held between two solid cylinders, when one is impulsively accelerated along its axis. A set of one-dimensional equations in the slender-slope approximation is used to describe the dynamics, including surface tension and viscous effects. An exact self-similar solution to the linearized equations is successfully compared to experiments made with millimetric ligaments. Another non-linear self-similar solution of the full set of equations is found numerically. Both the linear and non-linear solutions show that the axial depth at which the liquid is affected by the motion of the cylinder scales like , a consequence of the imposed radial uniformity of the axial velocity at the cylinder surface, and differs from 2/3 known to prevail in surface-tension-driven flows. The non-linear solution presents the peculiar feature that there exists a maximum driving velocity above which the solution disappears, a phenomenon probably related to the de-pinning of the contact line observed in experiments for large pulling velocities.

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