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Jujutsu Kaisen - Vapor Cones

SunDaGamer

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There are quite a few JJK calcs using this Mach cone angle method to find the speed of Piercing Blood. Now other than issues regarding the POV in most Piercing Blood panels not giving us a side profile view of the projectile, my primary concern is that what these calcs are measuring is not a Mach Cone, it is the vapor cone.

I've noticed that some people tend to conflate a vapor cone with a sonic boom even though they are two distinct phenomena. When an object is moving at Transonic speeds (within the Mach 0.8 to Mach 1.2 range), the air around it will accelerate to flow around the object which causes it to decrease in pressure and temperature, if the temperature in this low pressure region drops below the dew point then the water in the air condenses and becomes visible like a cloud. The conditions for the formation of a visible vapor cone are less favorable the further an object is into supersonic speed which makes sense because aerodynamic heating counteracts the cooling needed for the condensation, that's why you won't see a fighter jet forming a vapor cone when it's flying at like Mach 2.

The Mach cone is the envelope of shock waves created by an object exceeding 343 m/s in air. If an object is symmetric with uniform flow and steady motion then the Mach cone will be axisymmetric in the direction of travel, like this and not like this. Furthermore, a Mach cone is generated at the tip of the object because it is the continuous source of the pressure disturbances the object creates as it moves through the air faster than sound, this forms the vertex of the conical shock wave envelope.

As a bonus, here's Human Naoya producing a vapor cone when he's moving at Transonic speed and then Curse Naoya having to accelerate for 5 pages straight before forming a vapor cone.

Agree: SunDaGamer, Damage3245, TheRustyOne
Disagree:
 
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Furthermore, a Mach cone is generated at the tip of the object because it is the continuous source
So what is this? Is this just the jet moving past the cone.
 
So what is this? Is this just the jet moving past the cone.
That's not a Mach cone, that's somebody measuring the angle of a vapor cone and using it as an approximation for the Mach cone angle to find velocity. That method is unreliable because a vapor cone isn't the shock wave surface itself, it's the result of local pressure drop and condensation, so the visible boundary of the vapor doesn't match the actual Mach cone (in fact, the shape of a vapor cone can vary a lot depending on humidity, temperature and geometry of the object). A vapor cone can appear even when an object is below Mach 1.
 
Seems like a valid issue to the calcs.
 
I'm not an authority to this, nor am I a cgm, I'm just the dude who originally made the method. If it looks right then I guess it is right.
 
We have 2 agrees from Damage and Rusty, and no one seems to have any issues with this after over a month. It should be able to pass at this point unless we need 3 agrees because JJK is a big verse?
 
We have 2 agrees from Damage and Rusty, and no one seems to have any issues with this after over a month. It should be able to pass at this point unless we need 3 agrees because JJK is a big verse?
If this works like crts you can vote yourself as a cgm...
 
We have 2 agrees from Damage and Rusty, and no one seems to have any issues with this after over a month. It should be able to pass at this point unless we need 3 agrees because JJK is a big verse?
1. This CGM thread. There is technically no hard minimum requirements of votes
2. You can vote yourself too in this thread
 
I suppose this thread can be wrapped up now, I just need to remove the calcs from the verse page and do another CRT to sort out stats using the old mach cone formula calc
 
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