Divergence 6
Divergence 6 :
The expansion or spreading out of a vector field; also, a precise measure thereof. In mathematical discussion, divergence is taken to include convergence, i.e., negative divergence. The mean divergence of a field F within a volume is equal to the net penetration of the vectors F through the surface bounding the volume See: divergence theorem). The divergence is invariant with respect to coordinate transformations and may be written div F or - V F where V is the del-operator. In Cartesian coordinates, if F has components Fx, Fy, F, the divergence is: dx dy dz. Expansions in other coordinate systems may be found in any text on vector analysis. In hydrodynamics, if the vector field is unspecified, the divergence usually refers to the divergence of the velocity field. See also: Mass Divergence. N.B. Refer to source to verify equation(s)
