Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-24T16:43:05.622Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  07 June 2016

Austin G. Smith
Austin G. Smith*
Affiliation:
Imperial College, London
Get access

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 quantity I=p+½ρV2−½ρU2, where V is the fluid velocity relative to the rotor and U is the rotor tangential velocity. I remains 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.

Type
Research Article
Information
Aeronautical Quarterly , Volume 8 , Issue 4 , November 1957 , pp. 369 - 383
Copyright
Copyright © Royal Aeronautical Society. 1957

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Squire, H. B. and Winter, K. G. The Secondary Flow in a Cascade ofAero- foils in a Non-Uniform Stream. Journal of the Aeronautical Sciences, Vol.18, p. 271, 1951.CrossRefGoogle Scholar
2. Hawthorne, W. R. Secondary Circulation in Fluid Flow. Proc. Roy. Soc. A, Vol. 206, p. 374, 1951.Google Scholar
3. Hawthorne, W. R. and Armstrong, W. D. Rotational Flow through Cascades. Quarterly Journal of Mechanics and Applied Mathematics, Vol. VIII, p. 266, September 1955.Google Scholar
4. Preston, I. H. A Simple Approach to the Theory of Secondary Flows. The Aeronautical Quarterly, Vol. 5, p. 218, September 1954.Google Scholar
5. Weatherburn, C. E. Elementary Vector Analysis, p. 138: Bell, London, 1953.Google Scholar
6. Cheshire, L. J. Centrifugal Compressors for Aircraft Gas Turbines. Proceedings of the Institution of Mechanical Engineers, Vol. 153, p. 426, 1945.Google Scholar