Bursting Balloon Problem
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. 
Re: Bursting Balloon Problem
Are you talking about the Riemann problem?

Re: Bursting Balloon Problem
I don't know the Riemann problem, can you describe it or give an online reference please.

Re: Bursting Balloon Problem
(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 steadystate, while the first and the second are transient problems.

Re: Bursting Balloon Problem
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 
Collapsing Bubble Problem
I think a more wellknown 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 1D 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... 
All times are GMT 4. The time now is 01:51. 