Lamellar vector field

In vector analysis and in fluid dynamics, a lamellar vector field is a vector field with no rotational component. That is, if the field is denoted as v, then :$abla\; imes\; mathbf\{v\}\; =\; 0$.

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)::$mathbf\{v\}\; =\; abla\; phi$.

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.