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Physique des écoulements turbulents - Centre Acoustique du LMFA ...

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15<br />

A short intro<strong>du</strong>ction to turbulent flows <br />

Relation between the skin-friction coefficient Cf and the friction coefficient ψ<br />

(coefficient de frottement local et coefficient de perte de charges)<br />

p1<br />

τw = µ dU<br />

dr<br />

✻<br />

❄<br />

D<br />

<br />

<br />

<br />

<br />

r=R<br />

∆p ≡ p1 − p2 = 4cf<br />

p2<br />

Cf ≡ τw<br />

1<br />

2 ρU2 d<br />

<br />

Σ<br />

∆p ≡ ψ L<br />

D<br />

<br />

ρu·(u · n) dΣ = −<br />

0 = (−p1 + p2) πD2<br />

4<br />

L 1<br />

D 2 ρU2 d = ψ L 1<br />

D 2 ρU2 d<br />

<strong>Physique</strong> <strong>des</strong> <strong>écoulements</strong> <strong>turbulents</strong> @ Christophe Bailly – ECL’12<br />

Σ<br />

1<br />

2 ρU2 d<br />

<br />

pndΣ+ τ(n)dΣ<br />

Σ<br />

+ πDL µdU<br />

dr<br />

ψ ≡ 4cf<br />

<br />

<br />

<br />

<br />

r=R

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