Physique des écoulements turbulents - Centre Acoustique du LMFA ...
Physique des écoulements turbulents - Centre Acoustique du LMFA ...
Physique des écoulements turbulents - Centre Acoustique du LMFA ...
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31<br />
Blinking vortex flow of Aref (1984)<br />
x 2 /a<br />
x 2 /a<br />
x 2 /a<br />
0.8<br />
0<br />
−0.8<br />
−1.6 −0.8 0<br />
x /a<br />
1<br />
0.8 1.6<br />
0.8<br />
0<br />
−0.8<br />
−1.6 −0.8 0<br />
x /a<br />
1<br />
0.8 1.6<br />
0.8<br />
0<br />
−0.8<br />
−1.6 −0.8 0<br />
x /a<br />
1<br />
0.8 1.6<br />
A short intro<strong>du</strong>ction to turbulent flows <br />
β = 0.01<br />
β = 0.25<br />
β = 0.40<br />
<strong>Physique</strong> <strong>des</strong> <strong>écoulements</strong> <strong>turbulents</strong> @ Christophe Bailly – ECL’12<br />
for 0 ≤ t ≤ T , vortex (−a, 0) on<br />
for T ≤ t ≤ 2T , vortex (a, 0) on<br />
Γ ✲<br />
✛<br />
2a<br />
Γ ✲<br />
control parameter : β = ΓT<br />
2πa 2<br />
chaos in Hamiltonian systems<br />
(mixing in fluids)<br />
✲
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