The European Physical Journal Special Topics

, Volume 226, Issue 6, pp 1239–1251

Different types of Lagrangian coherent structures formed by solid particles in three-dimensional time-periodic flows

Regular Article

DOI: 10.1140/epjst/e2016-60191-x

Cite this article as:
Melnikov, D.E. & Shevtsova, V. Eur. Phys. J. Spec. Top. (2017) 226: 1239. doi:10.1140/epjst/e2016-60191-x
Part of the following topical collections:
  1. IMA8 - Interfacial Fluid Dynamics and Processes


Modeling of the experments on formation of coherent structures (also called particle accumulation structures, or PAS) in a three-dimensional time-periodic flow in a finite-size liquid column driven by a combined effect of thermocapillary stress and buoyancy was performed. The exact experimental conditions were studied. We considered particles 1% denser than the fluid. Aiming at reproducing the observed variety of PAS, double-loop (SL-II) and asymmetric single-loop (ASL-I) structures were obtained along with a “conventional” symmetric single-loop PAS (SL-I). The observations are perfectly in line with the experiments. It is shown that the limit trajectory of a particle is not only a matter of the particle’s inertia but also of its initial location. We developed a method to calculate the formation time of a structure. The obtained values are very close to those experimentally measured.

Copyright information

© EDP Sciences and Springer 2017

Authors and Affiliations

  1. 1.Université Libre de BruxellesBruxellesBelgium

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