Merging of Two Ring Vortices to Form a Single Bigger One Followed by Reseparation of Them


Merging of Two Ring Vortices to Form a Single Bigger One Followed by Reseparation of Them


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  1. From

    #####https://fyfluiddynamics.com/2017/08/in-slow-motion-vortex-rings-can-be-truly/
    #####
    Come to think of it, not reseparation _of them_ , because the two vortices the single big one separates into are by no means the original ones again, but rather _two entirely new_ ones.

    It appears, from the way the smaller vortex _bends towards_ the bigger one just before they merge, that there is positively _an attraction_ between two ring vortices … which kindof intuitively makes sense, I would say. That attraction might be calculable with the __Biot-Savart law__ + __Bernoulli’s law__ . There’s something about it in the following theses.

    #[①](https://www.researchgate.net/publication/231916507_Collision_of_two_vortex_rings)
    #
    #[②](http://adsabs.harvard.edu/pdf/1925JaJAG…2..193N)
    #
    #[③](http://adsabs.harvard.edu/pdf/1992ApJ…390..290P)
    #
    It’s also interesting how the merging causes waves to propagate from the point-of-contact as ‘ripples’ along the length of the new large vortex-ring.

    I haven’t got anything offhand that goes-into this … but the fluid dynamics of vortex rings can get _horrendous_ : the calculation of the theoretical translational speed of a vortex ring, for instance, is _absolutely diabolical_ !

    Another one

    ####[here](https://www.reddit.com/r/FluidMechanics/comments/mzxyhn/merging_of_two_ring_vortices_to_form_a_single)
    ####
    aswell, on r/FluidMechanics.

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