On the Generation of the Streamwise Component of Vorticity for Flows in Rotating Passages

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Abstract
Summary: A method is presented for the calculation of the streamwise component of vorticity, for flows in rotating passages. The method may be regarded as an extension of the methods applied in recent years to the calculation of secondary flows in stationary passages.Attention is concentrated on the quantityI=p+½ρV2−½ρU2,whereVis the fluid velocity relative to the rotor andUis the rotor tangential velocity.Iremains constant along a streamline in the rotor, and is found to enter into the equation for the generation of vorticity in much the same way as the total head enters for flow in stationary passages.An approximate calculation of the streamwise vorticity generated in a simple axial-flow rotor is made, and qualitative consideration is given to the flow in a centrifugal impeller. Just as for the calculation of secondary flows in stationary passages, an approximate shape of the streamline must be assumed before the secondary flows can be calculated.

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