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Parachute Inflation and Opening Shock

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Unsteady Flow Around Sphere<br />

• Pressure distribution on a sphere in<br />

unsteady, inviscid, incompressible<br />

<strong>and</strong> irrotational flow along a<br />

streamline (perfect fluid)<br />

P ∞ 2<br />

V + Rcos<br />

θ<br />

-P<br />

⎛ 9 2 5<br />

⎞<br />

= ⎜ cos θ - ⎟<br />

ρ ⎝ 8 8 ⎠<br />

– R = radius of sphere<br />

1<br />

2<br />

∂V<br />

∂t<br />

<strong>Parachute</strong> <strong>Inflation</strong> <strong>and</strong> <strong>Opening</strong> 20

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