Definition:Solenoidal Vector Field/Definition 2

Definition

Let $\mathbf V$ be a vector field acting over a region of space $R$.

$\mathbf V$ is defined as being solenoidal if and only if lines of flux form closed curves.

Also see

• Equivalence of Definitions of Solenoidal Vector Field

Sources

• 1951: B. Hague: An Introduction to Vector Analysis (5th ed.) ... (previous) ... (next): Chapter $\text {V}$: Further Applications of the Operator $\nabla$: $5$. The Operator $\operatorname {div} \curl$