Question

what is the intuition of circulation in fluid dynamics?
plz help me with the intuition in stead of providing mathematical definition. ​

Answer 1

Answer:

This is a very approximate description. If you draw a closed loop through some fluid, you could imaging filling in that loop with a surface. This is a mathematical surface, not a physcial one. The shape of that surface doesn’t matter. Whatever the vorticity is in the fluid wherever it is touching that surface, you integrate that all up and you end up with the circulation for that path. There might be a factor of 2 floating around. Vorticity has a local value. Circulation only has a meaning for a path. If the path shrinks down to an infinitesimal size, then the circulation divided by the area approaches (in the limit) the vorticity. That is, vorticity is circulation per unit area. But there might be a factor of 2 in there. And appropriate vector components. I’m only going for the concept here. It’s been about 40 years since I did anything with this. Look it up on the internet. I hope I remembered it about right.

Step-by-step explanation:

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