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f. dubois - Laboratoire de Mathématiques et de leurs Applications ...

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Intro Racines carrées Collocation mixte Tests numériques Joulin Chaleur Couplage Couplage simplifié<br />

Thin Layer Navier Stokes equations : hypotheses<br />

• Geom<strong>et</strong>ry : the ratio h<br />

L<br />

is small :<br />

• Length scale Λ = wave length λ<br />

• Propagation of longitudinal mo<strong>de</strong> :<br />

h<br />

L<br />

h 1<br />

<<br />

λ 4<br />

• Characteristic length for diffusion : l = µ<br />

• Acoustic Reynolds number : R acou<br />

e<br />

• Small param<strong>et</strong>er ǫ ≡ l<br />

Λ ≈<br />

1<br />

R acou<br />

e<br />

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