Based on a hub-to-shroud stream surface solution of the flow in a centrifugal compressor impeller, the equations governing the production of vorticity in a centrifugal compressor impeller are solved. The results are similar to experimental ones for shrouded and unshrouded impellers. Furthermore, assuming that the circumferential gradient of vorticity is zero, a picture of the three-dimensional velocity field is obtained. The picture obtained is similar to experimental ones, although the vortex associated with the suction side is smaller.

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