[Modélisation des écoulements cavitants bidimensionnels basée sur le principe d'indépendance de Logvinovich.]
Une modélisation simple des écoulements cavitants bidimensionnels est proposée. Elle est basée sur le principe d'indépendance de Logvinovich qui suppose que chaque section de cavité se comporte indépendamment des voisines. L'équation d'évolution de l'interface est présentée dans cette Note. Elle prend essentiellement en compte un effet de masse ajoutée et est comparable à l'équation de Rayleigh–Plesset qui régit l'évolution d'une bulle sphérique. La dynamique d'une cavité bidimensionnelle est contrôlée par la différence entre la pression de cavité et la pression à l'infini. Le modèle est en bon accord avec la solution de Tulin pour un écoulement supercavitant stationnaire et est facilement applicable à une configuration instationnaire.
A simple model for two-dimensional cavity flows is presented. It is based upon the Logvinovich independence principle. Each section of the cavity is assumed to behave independently of the neighbouring ones. The equation of evolution of the cavity interface is derived. It mainly takes into account an added mass effect and is similar to the well-known Rayleigh–Plesset equation relative to spherical bubbles. The dynamics of the 2D cavity is controlled by the pressure difference between infinity and the cavity. The model proves to be in good agreement with Tulin's solution for a steady cavity flow and easily applicable to unsteady cavity flows.
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Mots-clés : Mécanique des fluides numérique, Écoulements diphasiques, Cavitation
Christian Pellone 1 ; Jean-Pierre Franc 1 ; Mickaël Perrin 1
@article{CRMECA_2004__332_10_827_0,
author = {Christian Pellone and Jean-Pierre Franc and Micka\"el Perrin},
title = {Modelling of unsteady {2D} cavity flows using the {Logvinovich} independence principle},
journal = {Comptes Rendus. M\'ecanique},
pages = {827--833},
publisher = {Elsevier},
volume = {332},
number = {10},
year = {2004},
doi = {10.1016/j.crme.2004.06.005},
language = {en},
}
TY - JOUR AU - Christian Pellone AU - Jean-Pierre Franc AU - Mickaël Perrin TI - Modelling of unsteady 2D cavity flows using the Logvinovich independence principle JO - Comptes Rendus. Mécanique PY - 2004 SP - 827 EP - 833 VL - 332 IS - 10 PB - Elsevier DO - 10.1016/j.crme.2004.06.005 LA - en ID - CRMECA_2004__332_10_827_0 ER -
%0 Journal Article %A Christian Pellone %A Jean-Pierre Franc %A Mickaël Perrin %T Modelling of unsteady 2D cavity flows using the Logvinovich independence principle %J Comptes Rendus. Mécanique %D 2004 %P 827-833 %V 332 %N 10 %I Elsevier %R 10.1016/j.crme.2004.06.005 %G en %F CRMECA_2004__332_10_827_0
Christian Pellone; Jean-Pierre Franc; Mickaël Perrin. Modelling of unsteady 2D cavity flows using the Logvinovich independence principle. Comptes Rendus. Mécanique, Volume 332 (2004) no. 10, pp. 827-833. doi : 10.1016/j.crme.2004.06.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.06.005/
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