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.