Can you use these equations to calculate explosion overpressure?

[Ax_xiom]

TL;DR

An idiot that shouldn't be doing graduate level maths attempts to do it to calculate a blast wave

So in this video Dr Jorge S. Diaz walks through a way to model the movement of a blast wave (with an explanation that I don't fully follow because I'm an idiot) and I'm wondering if it's possible to use the same equations to calculate the overpressure of a blast wave from a given explosive energy and distance (and vice versa)

Just as an heads up I've only done a bit of differential equations, I can interpete and solve basic ODEs and barely interprete PDEs but can't really solve them.

 

[DaveC426913]

Can you transcribe the problem and equations here, so every PF user doesn't have to go scan an hour long Youtube video to get up-to-speed?

 

[Ax_xiom]

Sorry

So he uses these equations to get a formula that describes the movement of a blast wave in respects to time. I'm wondering if it's possible to do the same with overpressure in respects to distance

 

[renormalize]

I'm wondering if it's possible to use the same equations to calculate the overpressure of a blast wave from a given explosive energy and distance (and vice versa)

Rather than trying to reinvent the wheel by performing calculations, you can easily answer this question by consulting the literature. For example, take a look at eq.(2) and fig. 2 in this 1967 report from Johns Hopkins Applied Physics Lab: Scaling the effects of air blast...

 

[Ax_xiom]

Rather than trying to reinvent the wheel by performing calculations, you can easily answer this question by consulting the literature. For example, take a look at eq.(2) and fig. 2 in this 1967 report from Johns Hopkins Applied Physics Lab: Scaling the effects of air blast...

This seems like interesting, I would have prefered to have a proper solution that wasn't an empirical equation but beggars can't be choosers (I don't know how to do the maths to do it myself)