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Vortex distribution for axial flow machines

Vortex distribution for axial flow machines

(OP)
Hello,

Axial flow machines (compressors, turbines, fans) may be designed for a number of vortex distributions such as free vortex and forced vortex. In "Fluid mechanics and thermodynamics of turbomachinery" by S. L. Dixon another distribution is suggested that results from a constant specific massflow assumption.
As I understand it, free vortex means the axial vorticity component is zero or in other words, the axial flow velocity is the same for all stream lines. Is my understanding correct?

For the free vortex case it seems obvious that the distribution applies to the flow at the inlet and at the outlet of the rotor, however for other distributions it's unclear to me.

Is it true that for whatever vortex distibution you design for:
a) this distribution applies to both the inlet and outlet of the rotor?
b) it is reasonable to assume that the axial velocity along each stream line is more or less the same at the inlet and outlet of the rotor?

Thanks

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