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On the velocity induced by a semi-infinite vortex cylinder: with extension to the short solenoid

Published online by Cambridge University Press:  04 July 2016

Ivan S. Gibson
Ivan S. Gibson*
Affiliation:
late Department of Mechanical Engineering, The University of Newcastle upon Tyne
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Extract

The mathematical analysis of the induced velocity components of a screw propeller has occupied the attention of fluid dynamicists for many years. Early approaches to the problem concentrated mainly on momentum and blade element theories, neither of which are capable of providing a detailed knowledge of the flow field, except at the propeller plane or the boundary of the fluid. The early vortex theories also suffered from equally significant, but less severe, limitations and such methods were found to be completely unsatisfactory for many applications. In particular, the development of the ducted propeller for the propulsion of supertankers and VTOL aircraft has demanded a highly detailed knowledge of the flow field, especially around the propeller tip.

Type
Technical notes
Information
The Aeronautical Journal , Volume 78 , Issue 762 , June 1974 , pp. 262 - 268
Copyright
Copyright © Royal Aeronautical Society 1974 

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References

1. Hough, G. R. and Ordway, D. E. The generalized actuator disc. Therm Inc TAR-TR 6401, January 1964.Google Scholar
2. Gibson, I. S. Application of vortex singularities to ducted propellers. PhD Thesis, University of Newcastle upon Tyne, October 1972.Google Scholar
3. Gibson, I. S. and Lewis, R. I. Ducted propeller analysis by surface vorticity and actuator disc theory. RINA Symposium on ducted propellers, May 1973.Google Scholar
4. Cox, B. D. Vortex ring solutions of axisymmetric propeller flow problems. MIT Report 68-13, June 1968.Google Scholar
5. Sluyter, M. M. A computational program and extended tabulation of Legendre Functions of second kind and half order. Therm Inc, TAR-TR 601, October 1960.Google Scholar
6. Bulirsch, R. Numerical calculation of elliptic integrals and elliptic functions. Numerische Mathematik, Vol 7, pp 78–90, 1965.Google Scholar