2
$\begingroup$

I am trying to understand curl and divergences in a more intuitive manner, especially the curl. And is curl a surface phenomenon, if yes then how?

$\endgroup$
0
$\begingroup$

A discussion on the intuitive interpretation of the curl from math SE. And a quote from Wikipedia:

If the vector field represents the flow velocity of a moving fluid, then the curl is the circulation density of the fluid.

For divergence, I'd also point you to Wikipedia:

More technically, the divergence represents the volume density of the outward flux of a vector field from an infinitesimal volume around a given point. As an example, consider air as it is heated or cooled. The velocity of the air at each point defines a vector field. While air is heated in a region, it expands in all directions, and thus the velocity field points outward from that region. The divergence of the velocity field in that region would thus have a positive value. While the air is cooled and thus contracting, the divergence of the velocity has a negative value.

I know, it's a lot of quotes and links, but there's nothing new under the sun ;)

$\endgroup$

Not the answer you're looking for? Browse other questions tagged or ask your own question.