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Parachute Inflation and Opening Shock

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Unsteady Flow Around Exp<strong>and</strong>ing<br />

Decelerating Sphere<br />

• Pressure distribution on an exp<strong>and</strong>ing,<br />

decelerating sphere in inviscid,<br />

incompressible <strong>and</strong> irrotational flow<br />

P - P∞<br />

⎛ 9 2 5 ⎞ 2 1 dVx<br />

= ⎜ cos θ − ⎟ Vx<br />

+ Rcos<br />

θ<br />

ρ ⎝ 8 8 ⎠ 2 dt<br />

V r =<br />

+<br />

3<br />

2<br />

dR<br />

dt<br />

V<br />

2<br />

r<br />

dVr<br />

+ R<br />

dt<br />

+<br />

3<br />

2<br />

cosθ<br />

V<br />

<strong>Parachute</strong> <strong>Inflation</strong> <strong>and</strong> <strong>Opening</strong> 26<br />

x<br />

V<br />

r

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