Matterwave said:You mean other than "divergence"?
Matterwave said:Tell you what, why don't you come up with a name for it, and tell us how useful this classification is, and maybe we'll all use it.
In the standard literature the terms WBN and I gave you are basically it.
Vorticity is a measure of the local rotation of a vector field. It is a vector quantity that describes the tendency of a fluid or gas to rotate around a certain point. In other words, it is the curl of the vector field at a given point.
Vorticity is calculated using the cross product of the velocity vector and the gradient of the velocity vector. This can be represented mathematically as follows:
$$ \vec{\omega} = \nabla \times \vec{v} = \begin{vmatrix} \hat{i} & \hat{j} & \hat{k} \\ \frac{\partial}{\partial x} & \frac{\partial}{\partial y} & \frac{\partial}{\partial z} \\ v_x & v_y & v_z \end{vmatrix} $$
Flux is a measure of the flow of a vector field through a surface or boundary. It is a scalar quantity that describes the amount of flow passing through a given area. It is calculated by taking the dot product of the vector field and the surface normal vector.
Flux is calculated using the dot product of the vector field and the surface normal vector. This can be represented mathematically as follows:
$$ \Phi = \int\int_S (\vec{f}\cdot\hat{n}) dS $$
The relationship between vorticity and flux in a vector field is described by the Kelvin-Stokes theorem, which states that the line integral of the vector field around a closed curve is equal to the surface integral of the curl of the vector field over the surface enclosed by the curve. In other words, the vorticity at a point is equal to the flux through a surface surrounding that point. This relationship is important in understanding the behavior of fluids and gases in motion.