## What is an irrotational vector field?

## What is the vorticity of an irrotational field?

- The vorticity of an
**irrotational field**is zero everywhere. Kelvin's circulation theorem states that a fluid that is**irrotational**in an inviscid flow will remain**irrotational**. This result can be derived from the vorticity transport equation, obtained by taking the curl of the Navier-Stokes Equations.

## What is an example of a non-irrotational field?

- The simplest, most obvious, and oldest example of a non-
**irrotational field**(the technical term for a**field**with no**irrotational**component is a solenoidal**field**) is a magnetic**field**. A magnetic compass finds geomagnetic north because the Earth's magnetic**field**causes the metal needle to rotate until it is aligned.

## What is an irrotational flow?

**Irrotational**flow occurs when the fluid motion rotates about its axis (e.g., water flowing in a bend in a pipe). Stewart Glegg, William Devenport, in Aeroacoustics of Low Mach Number Flows, 2017

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