Parachute Inflation and Opening Shock
Parachute Inflation and Opening Shock
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