Calculate Rate of Disintegration of Projectileby Skyler0114 Tags: calculus, friction, iron, meteor, projectile 

#1
Jan2013, 05:35 PM

P: 23

I was thinking about meteorioids and how upon their entry into the atmosphere the large amount of disintegration they experience so i wanted to try running through a calculation of something similar to see if i could i understand it better. I'm going to outline a general thought process I've come up with then ask a specific case.
Ignoring gravity or the existance of a floor for now because of the complications that would cause. General: Lets say we have a [insert size and mass/density here] [insert shape name here] of [insert material here] [falls apart/does not fall apart] and we fire it at [insert velocity here]. Question: How [long or far] will it travel before the object fully disintegrates? OR How [much mass/volume] is lost before the object stops disintegrating. Example: Lets say we have a 1 meter radius sphere of iron (density 7.874 g·cm−3) in 1 atm air. We assume it does not fall apart or explode in it's transit. We fire it at 100 km/s, how much mass does the object lose in its transit. 



#2
Jan2013, 05:44 PM

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P: 5,536

Not a simple problem. The interactions between the projectile and the air as it is traveling at hypervelocity do not lend themselves, IMO, to analysis by a couple of simple formulas.




#3
Jan2013, 05:50 PM

P: 23

As more variables are introduced I want to see what you have to consider and what doesnt matter. 



#4
Jan2013, 08:52 PM

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P: 2,951

Calculate Rate of Disintegration of ProjectileYou could start by assuming that the entire kinetic energy of the projectile is converted into heat. That's a pretty good approximation for the total energy released. 



#5
Jan2013, 11:06 PM

P: 23





#6
Jan2113, 12:01 AM

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P: 9,154

What fates may befall the material? Combustion, evaporation, thermal cracking, explosion... Rate of heating will matter, since rapid external heating would create greater stresses. Conductivity. Spin?




#7
Jan2113, 01:28 AM

P: 23

How would one be able to determine the heat gained from air friction? Also how would one be able to determine the transfer of heat into the "cooler" center of the sphere? Obviously thermal conductivity comes to play a very large role here but even if the conductivity high is would it effect disintegration in the first (maybe few) second(s) at some nonnegligible amount? 


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