Lamellar vector field

$nabla\; times\; mathbf\{v\}\; =\; 0$.

A lamellar field is practically synonymous with an irrotational field. The adjective "lamellar" derives from the noun "lamella", which means a thin layer. In Latin, lamella is the diminutive of lamina (but do not confuse with laminar flow).

A lamellar field can be represented as the gradient of a scalar potential (see irrotational field):

$mathbf\{v\}\; =\; nabla\; phi$.

The lamellae to which "lamellar flow" refers are the surfaces of constant potential. In a given interval of time, all the fluid in a given layer of constant potential will move to another layer of constant potential.

A lamellar field which is also solenoidal is a Laplacian field.