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Old   February 14, 2001, 21:56
Default Bursting Balloon Problem
  #1
Ian Bryce
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Does anyone know of the solution to the bursting balloon problem? A balloon containing air at 2 bar in a 1 bar ambient, suddenly disintegrates. What is the pressure vs time and distance?

More broadly, we hope to understandneed the relation between explosion shock waves and launch vehicle sonic booms.
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Old   February 15, 2001, 06:06
Default Re: Bursting Balloon Problem
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A. Taurchini
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Are you talking about the Riemann problem?
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Old   February 15, 2001, 18:04
Default Re: Bursting Balloon Problem
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Ian Bryce
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I don't know the Riemann problem, can you describe it or give an online reference please.
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Old   February 15, 2001, 19:38
Default Re: Bursting Balloon Problem
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John C. Chien
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(1). There is no relationship among the three: the bursting of a balloon, the explosion shock wave, and the sonic boom of a launch vehicle. (2). The first one is a rather weak shock with changing boundary. (3). The second one has a transient energy release. (4). The third one is supersonic flow over a blunt body. The far field of the curved shock becomes the sonic boom. (5). The last one is steady-state, while the first and the second are transient problems.
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Old   February 15, 2001, 20:06
Default Re: Bursting Balloon Problem
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Ian Bryce
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John, thanks for your helpful reply. I think the first two problems (balloon and explosion) have much in common: spherical symmetry, weakening shock waves. The third (launch vehicle which flies through thinning atmosphere, accelerates and turns) is hardly steady state.

All 3 cases need a propagating approach. In all cases the disturbance transitions from a strong shock near the source (with absorption), through a weak shock, then sound (without absorption) at greater distances.

In any case, do you know of a solution or an online reference?

Thanks Ian
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Old   February 16, 2001, 10:38
Default Collapsing Bubble Problem
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John C. Chien (Alter Ego)
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I think a more well-known example is the collapse of a spherical bubble.

Yes, I think there is an analytical solution, I known there is a numerical one at least. Should be simple to do. take an inviscid bubble 1-D in spherical coordinates in a gravity free environment. assume all transport processes occur in the radial direction only.

Or if you just want a reference then check out publications by Matsumoto and therein...

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