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The Choice of a Hodograph Boundary for Contracting Ducts

Published online by Cambridge University Press:  04 July 2016

J. C. Gibbincs
J. C. Gibbincs*
Affiliation:
Sub-Department of Fluid Mechanics, University of Liverpool
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Extract

A recent paper on the potential incompressible flow through two-dimensional contracting ducts raises some interesting points that are relevant to the hodograph technique for solving this problem.

In this paper, Lau obtains a contraction shape by placing a source in a uniform flow that is contained in a doubly infinite strip. The resulting flow pattern is sketched in Fig. 1. The flow is from a region of unit velocity to one of velocity R, where R is the contraction ratio. A streamline, intermediate in position between ψ = 0 and ψ=1.0, is adopted as the contraction profile.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 68 , Issue 642 , June 1964 , pp. 420 - 422
Copyright
Copyright © Royal Aeronautical Society 1964

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References

1.Lau, W. T. F.An Analytical Method for the Design of Two-Dimensional Contractions. Journal of the Royal Aeronautical Society, Vol. 68, No. 637, p. 59, January 1964.CrossRefGoogle Scholar
2.Libby, P. A. and Reiss, H. R.The Design of Two-Dimensional Contraction Sections. Qu. App. Maths., Vol. 9, 1951.Google Scholar
3.Gibbings, J. C. Ph.D. Thesis. Faculty of Engineering, University of London, 1951.Google Scholar
4.Moretti, G. The Calculation of Converging Channels. Aeronautica Argentina. Instituto Aerotecnico. Report C-10. 29th November 1954. (M.O.A. trans TIL/T.4612.)Google Scholar
5.Gibbings, J. C. Note on the Combination of a Contraction with a Supersonic Nozzle for a Wind Tunnel. (Manuscript awaiting issue as an RAE publication.)Google Scholar