Understanding Vorticity and Propagation of Ring Vortex

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SUMMARY

The discussion centers on the behavior of axisymmetrical ring vortices, specifically addressing the implications of the Helmholtz vortex theorem regarding constant vorticity within a tube. It is established that vortex lines on the outer edge of the ring are indeed longer and spin faster than those on the inside, contributing to the propagation of the vortex. The conversation also clarifies that the ring vortex utilizes its translational speed to maintain vorticity, with energy drawn from this speed to sustain its structure. Additionally, the dynamics of vortex rings involve entrainment and negative drag, which facilitate their movement.

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  • Understanding of Helmholtz vortex theorem
  • Familiarity with concepts of vorticity and fluid dynamics
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  • Basic principles of entrainment and negative drag in fluid flow
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skywo1f
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my question relates to the axisymmetrical ring vortex.
i know that vorticity must remain constant within a tube, (helmholtz vortex theorem 2)
so does that mean that the vortex lines on the outside of the ring are longer (spinning faster)
than the ones on the inside?

also is that what makes vortex rings propagate?
like, does the ring draw energy from its translational speed and put it into maintaining its vorticity, or is it the other way around?
or am i completely off?
 
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skywolf, the particles must all move at the same speed as the speed is determined by the pressure. So particles close to the centre or periphery are at the same speed and so have different RPM. That means they shear which helps the vortex to decay. The ring vortex swims by entrainment in front and ejection aft, almost propulsion by negative drag. There are two kinds of vorticity, convection as in a smokers ring and diffusion as in airfoil lift. See my PDF through the website www.newfluidtechnology.com[/URL] called "lift and the Coanda Effect"
 
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I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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