Skip to main content

News about Scitation

In December 2016 Scitation will launch with a new design, enhanced navigation and a much improved user experience.

To ensure a smooth transition, from today, we are temporarily stopping new account registration and single article purchases. If you already have an account you can continue to use the site as normal.

For help or more information please visit our FAQs.

banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
H. Lamb, Hydrodynamics (Cambridge University Press, 1932).
R. A. Ibrahim, Liquid Sloshing Dynamics: Theory and Applications (Cambridge University Press, 2005).
K. Case and W. Parkinson, “Damping of surface waves in an incompressible liquid,” J. Fluid Mech. 2, 172184 (1957).
A. Sauret, F. Boulogne, J. Cappello, E. Dressaire, and H. A. Stone, “Damping of liquid sloshing by foams,” Phys. Fluids 27, 022103 (2015).
I. Cantat, “Liquid meniscus friction on a wet plate: Bubbles, lamellae, and foams,” Phys. Fluids 25, 031303 (2013).
F. Bretherton, “The motion of long bubbles in tubes,” J. Fluid Mech. 10, 166188 (1961).
N. D. Denkov, V. Subramanian, D. Gurovich, and A. Lips, “Wall slip and viscous dissipation in sheared foams: Effect of surface mobility,” Colloids Surf., A 263, 129145 (2005).
B. Cocciaro, S. Faetti, and M. Nobili, “Capillarity effects on surface gravity waves in a cylindrical container: Wetting boundary conditions,” J. Fluid Mech. 231, 325343 (1991).
L. Landau and B. Levich, “Dragging of a liquid by a moving plate,” Acta Phys. USSR 17, 42 (1942).
A. H. Nayfeh, Perturbation Methods (John Wiley & Sons, 2008).
H. K. Moffatt, “Euler’s disk and its finite-time singularity,” Nature 404, 833834 (2000).

Data & Media loading...


Article metrics loading...



Interfacial forces exceed gravitational forces on a scale small relative to the capillary length—two millimeters in the case of an air-water interface—and therefore dominate the physics of sub-millimetric systems. They are of paramount importance for various biological taxa and engineering processes where the motion of a liquid meniscus induces a viscous frictional force that exhibits a sublinear dependence in the meniscus velocity, i.e., a power law with an exponent smaller than one. Interested in the fundamental implications of this dependence, we use a liquid-foam sloshing system as a prototype to exacerbate the effect of sublinear friction on the macroscopic mechanics of multi-phase flows. In contrast to classical theory, we uncover the existence of a finite-time singularity in our system yielding the arrest of the fluid’s oscillations. We propose a minimal theoretical framework to capture this effect, thereby amending the paradigmatic damped harmonic oscillator model. Our results suggest that, although often not considered at the macroscale, sublinear capillary forces govern the friction at liquid-solid and liquid-liquid interfaces.


Full text loading...


Access Key

  • FFree Content
  • OAOpen Access Content
  • SSubscribed Content
  • TFree Trial Content
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd