[Note sur la chute d'un solide axisymétrique dans un fluide parfait au-dessus d'un plan horizontal]
Dans cette note, nous considérons la chute d'un solide axisymétrique dans un fluide parfait au-dessus d'un plan. Il est connu [12] que l'éventualité d'un contact entre le solide et le plan est reliée à l'asymptotique de l'effet de masse ajoutée quand la distance entre le plan et le solide tend vers 0. Nous proposons une nouvelle méthode pour calculer cet effet de masse ajoutée, qui fournit simultanément l'asymptotique d'un champ de vitesses associé entre le solide et le plan.
In this note, we consider the fall of an axisymmetric body in a perfect fluid over a ramp. It was shown in [12] that the possibility of a collision between the body and the ramp is related to the asymptotics of the so-called added mass when the distance between the ramp and the body goes to 0. We propose here a new method to compute this added mass, which provides simultaneously an approximation of an associated fluid velocity field in the gap between the ramp and the body.
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@article{CRMATH_2018__356_11-12_1156_0,
author = {Hillairet, Matthieu and Seck, Diaraf and Sokhna, Lamine},
title = {Note on the fall of an axisymmetric body in a perfect fluid over a horizontal ramp},
journal = {Comptes Rendus. Math\'ematique},
pages = {1156--1166},
publisher = {Elsevier},
volume = {356},
number = {11-12},
year = {2018},
doi = {10.1016/j.crma.2018.10.001},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2018.10.001/}
}
TY - JOUR AU - Hillairet, Matthieu AU - Seck, Diaraf AU - Sokhna, Lamine TI - Note on the fall of an axisymmetric body in a perfect fluid over a horizontal ramp JO - Comptes Rendus. Mathématique PY - 2018 SP - 1156 EP - 1166 VL - 356 IS - 11-12 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2018.10.001/ DO - 10.1016/j.crma.2018.10.001 LA - en ID - CRMATH_2018__356_11-12_1156_0 ER -
%0 Journal Article %A Hillairet, Matthieu %A Seck, Diaraf %A Sokhna, Lamine %T Note on the fall of an axisymmetric body in a perfect fluid over a horizontal ramp %J Comptes Rendus. Mathématique %D 2018 %P 1156-1166 %V 356 %N 11-12 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2018.10.001/ %R 10.1016/j.crma.2018.10.001 %G en %F CRMATH_2018__356_11-12_1156_0
Hillairet, Matthieu; Seck, Diaraf; Sokhna, Lamine. Note on the fall of an axisymmetric body in a perfect fluid over a horizontal ramp. Comptes Rendus. Mathématique, Tome 356 (2018) no. 11-12, pp. 1156-1166. doi : 10.1016/j.crma.2018.10.001. http://archive.numdam.org/articles/10.1016/j.crma.2018.10.001/
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