- #1
AttilaTheNun
- 11
- 0
Hi all,
I'm trying to answer the following questions related to a project on smoke rings.
We are in an introductory class, so this project is more for fun and just applying the little we have learned about point, rigid body, and fluid motion to something less understood like vortex rings.
Essentially we have contsructed a smoke ring device that, guessed it, blows smoke rings. I have already experimentally shown that by blowing two different sized rings, you can find that the larger ring moves at a slower pace than the smaller (radius) ring.
However, I am having trouble answering the following questions:
8. Explain mathematically why the speed of propagation of the
ring should vary roughly as the reciprocal of its radius.
9. Show (from calculations) that the air in the center of the
ring is sucked through at a speed of 4 times the propagation
of the ring itself (it's like some weird flying, sucking thing!)
Any help is greatly appreciated, even just a quick explanation off the top of your head.
thanks
I'm trying to answer the following questions related to a project on smoke rings.
We are in an introductory class, so this project is more for fun and just applying the little we have learned about point, rigid body, and fluid motion to something less understood like vortex rings.
Essentially we have contsructed a smoke ring device that, guessed it, blows smoke rings. I have already experimentally shown that by blowing two different sized rings, you can find that the larger ring moves at a slower pace than the smaller (radius) ring.
However, I am having trouble answering the following questions:
8. Explain mathematically why the speed of propagation of the
ring should vary roughly as the reciprocal of its radius.
9. Show (from calculations) that the air in the center of the
ring is sucked through at a speed of 4 times the propagation
of the ring itself (it's like some weird flying, sucking thing!)
Any help is greatly appreciated, even just a quick explanation off the top of your head.
thanks