PowerPoint Presentation

Ceyda Sanli, Detlef Lohse, and Devaraj van der Meer

Physics of Fluids, University of Twente, The Netherlands.From antinode clusters to node clusters:The concentration dependent transition of floaters on a standing Faraday wave

f=19 Hza=0.1mmantinode clusters node clustersf=20 Hza=0.35 mm5 mm5 mmadding more floaters

Observation: Ref: C. Sanli, D. Lohse, and D. van der Meer, arXiv: 1202.0051 2

shakershaker Control Parameters: D = floater size = wetting angle a = amplitude

f = frequency = concentration = Area / Areafloatertotala, fSet-up: h = depth of water3 Why the node clusters at high ? Why the antinode clusters at low ?

From antinode clusters to node clusters:4Why the antinode clusters at low ?

The drift force is always towards the antinodes for our floaters.

The drift force is a single floater force. Drift force*:* G. Falkovich et. al., Nature (2005).

bubble caseheavy particle case Analogy with a static case:Why the antinode clusters at low ? On a static curved interface:heavy particles goes to a local minimum6

T is the standing wave period. Wave elevator:Why the antinode clusters at low ?The drift force is always towards the antinodes for our floaters.

The drift force is a single floater force. Drift force*:* G. Falkovich et. al., Nature (2005).

t < T/2t > T/27

Correlation number c:

antinodesnodesExperiment

Experiment

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II Why the node clusters at high ? Why the antinode clusters at low ? drift force look at the experiment more carefullyFrom antinode clusters to node clusters:10antinode clusters at low node clusters at high 10 mm10 mm

breathingnon-breathingFrom antinode clusters to node clusters:11

r(t) increases & decreases at the breathing antinode clusters. r(t) is almost constant at the non-breathing node clusters.Attractive capillary interaction:airwater12

node cluster:antinode cluster:We calculate the drift and capillary energies based on designed clusters:Energy approach:13Energy approach: Observed and designed clusters

The inset bars indicate a length scale of 5 mm.

E = E - E .Energy approach:antinodenodeE is the sum of the drift and capillary energies. : surface tensionl : capillary lengthcN : number of floaters

Energy approachExperimentComparison:

16Energy approach in detail:

: surface tensionl : capillary lengthcN : number of floatersE : capillary energyE : drift energydc

The dynamics of the floaters is highly influenced by the floater concentration : low antinode clusters high node clusters Potential energy estimation of the designed clusters presents good agreement with the experiment both qualitatively and quantitatively.Conclusion: Energy approach shows that the drift with breathing is the reason behind the node clusters at high . Dynamic heterogeneity and dynamic criticality :Recent work: Macroscopic spheres on capillary Faraday waves Ref: C. Sanli, K. Saitoh, S. Luding, and D. van der Meer, arXiv: 1309.3804 a=0.1 mmf=250 Hz

=0.633 4 times slower than real time.2 mm

Back-up slides

Distances in the designed clusters:

Distances in the designed clusters: