So mathematically I understand that divergence of curl of something is zero.(adsbygoogle = window.adsbygoogle || []).push({});

However, talking specifically about vorticity, this is what it seems to imply to me:

When there is vorticity in a fluid, the tiny particles spin around their own axes, so a net circulation is formed around the surface of a vortex tube (circulation).So circulation is like the vector sum of all the vorticity,the macroscopic effect of tiny particles spinning. Its the resulting 'loop' of velocities.

So zero divergence of vorticity means it doesn't have a source/sink any where in the fluid.

However I don't completely believe it, because all the spinning motion had to start somewhere...so it doesn't make sense that there is no source of vorticity!

Please tell me which part of my understanding is wrong.

Thanks,

Urmi

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# Divergence of vorticity vector is zero--intuition behind it

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