Solenoidal vector field ↩

Metadata

shorthands: {}
aliases: [Incompressible vector field, Divergence-free vector field, Transverse vector field]
created: 2021-10-20 18:17:28
modified: 2022-01-10 04:13:04

A solenoidal vector field

is a vector field whose divergence is zero everywhere.

Other words: the field has no sources or sinks.
As a consequence, for a solenoidal vector field, for any closed surface, the total flux through the surface must be zero:

Also, analogously for a gradient field, a solenoidal field is the curl of a vector potential :

Other names: Incompressible vector field, Divergence-free vector field, Transverse vector field