The European Physical Journal Special Topics

, Volume 224, Issue 2, pp 217–227 | Cite as

Influence of container shape and size on surface-tension-driven Bénard convection

  • M. Medale
  • P. Cerisier
Regular Article
Part of the following topical collections:
  1. IMA7 – Interfacial Fluid Dynamics and Processes


The aim of this study is to investigate the influence of the container size and shape on the main fluid flow characteristics of Surface-Tension-Driven Bénard Convection. Computations have been performed for high Prandtl number fluids and realistic boundary conditions in various configurations either at steady state when it exists or unsteady one for Ma c Ma ≤ 2.5Ma c . The threshold value, its associated pattern and secondary bifurcation one are presented for each configuration. For very small aspect ratios, it turns out that the threshold value is determined by the friction coefficient whereas for medium size aspect ratios both size and shape enters the game in a more subtle way. Some containers have been found to induce a quasi-perfect hexagonal pattern in their core region provided they satisfy shape and size compatibility conditions. Otherwise, dynamical regimes may appear even close to the threshold so their peculiar characteristics have been reported and analyzed as they seem to be intrinsic to small aspect ratio configurations.


European Physical Journal Special Topic Biot Number Dynamical Regime Regular Polygon Marangoni Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© EDP Sciences and Springer 2015

Authors and Affiliations

  1. 1.Aix Marseille Université, CNRSMarseilleFrance

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