Fluid Mechanics and Acoustics Laboratory - UMR 5509

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Laboratoire de Mécanique des Fluides et d’Acoustique

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M2 proposal at LMFA

M2 proposal at LMFA

Transport de concentration par un anneau de vorticité

Wouter Bos, Emmanuel Lévêque, Florence Raynal

L’objectif de ce stage est d’étudier par simulation numérique le trans-
port d’un scalaire par le biais d’un anneau de vorticité. Ce sujet est
financé par (et se fera en collaboration avec) une entreprise privée.

Over which distance can a vortex ring carry concentration? The stability of a vortex ring is remarkable [1]. And within closed streamlines a scalar quantity is relatively well conserved. For practical purposes it can be of major importance to transport a scalar quantity such as temperature or concentration without another tool than the working fluid itself. We would like to answer the question how we can optimize for a given fluid (water or air for instance) the distance over which a significant amount of scalar can be transported using a vortex ring.

The student will learn to use and modify an inhouse numerical code of the Lattice Boltzmann type [2]. This code will be used to simulate both laminar and turbulent vortex rings with a prescribed initial concentration. The student is expected to investigate the evolution of the vortex ring and its concentration profile as a function of the initial conditions (laminar or turbulent, circulation, concentration, Reynolds and Prandtl number) and to answer the question what the theoretical limit is over which scalar can be transported.

[1] Karim Shariff and Anthony Leonard. Vortex rings. Annual Review of Fluid Mechanics, 24(1):235–279, 1992.
[2] Shiyi Chen and Gary D Doolen. Lattice boltzmann method for fluid flows. Annual review of fluid mechanics, 30(1):329–364, 1998.