Crocco's theorem

The vortex set of Crocco (also Croccosche equation) denotes a 1937 laid down by Luigi Crocco physical rate from fluid mechanics. He says that applies to the steady flow of a smooth, non- heat-conducting gas, neglecting external forces:

Describe herein

• The velocity field of the flow   the rotation of velocity field

• The gradient of the Ruheenthalpie

Where and s as enthalpy and entropy per unit mass of detailed (specific sizes).

Interpretation

Often one can assume ( isoenergetic flow ).

If the flow is also isentropic yet, so also, and follows after Croccos vortex theorem

In general, it follows

That is, the flow is irrotational or irrotational, and there exists a velocity potential with

There then is a potential flow.

Croccos vortex theorem therefore states that irrotational flows are isentropic and vice versa, with the understanding that they are stationary, and friction and external forces are negligible.