Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-09T22:56:49.193Z Has data issue: false hasContentIssue false
  • English
  • Français

The Design of an Annular Entry to a Circular Duct

Published online by Cambridge University Press:  07 June 2016

J. C. Gibbings
J. C. Gibbings*
Affiliation:
Department of Fluid Mechanics, University of Liverpool
Get access

Extract

This report describes the design of an annular entry for the axisymmetric flow into a circular duct, shaped so that the wall velocity gradients are favourable to the development of the boundary layer flow. As a first step the accelerating flow around a two-dimensional 90° duct bend with favourable gradients was obtained. This shape was modified and the axisymmetric flow pattern through it obtained by a combination of electrical analogue and relaxation methods and then checked by experiment. The favourable gradients were retained in the axisymmetric flow.

Type
Research Article
Information
Aeronautical Quarterly , Volume 10 , Issue 4 , November 1959 , pp. 361 - 372
Copyright
Copyright © Royal Aeronautical Society. 1959

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. Lamb, H. Hydrodynamics. 3rd Edition, Para. 74, Cambridge University Press, 1906.Google Scholar
2. Southwell, R. V. and Vaisey, G. Relaxation Methods Applied to Engineering Problems. XII. Fluid Motions Characterised by Free Streamlines. Phil. Trans. Roy. Soc. A, Vol. 240, p. 117, 1946.Google Scholar
3. Milne-thomson, L. M. Theoretical Hydrodynamics. 2nd Edition, Sec. 8.61, Macmillan, 1949.Google Scholar
4. Scott, R. E. An Analog Device for Solving the Approximation Problem of Network Synthesis. Research Laboratory of Electronics, Technical Report 137, Massachusetts Institute of Technology, June 1950.Google Scholar
5. Southwell, R. V. Relaxation Methods in Theoretical Physics. Oxford University Press, 1946.Google Scholar
6. Wu, C. H. Formulas and Tables of Coefficients for Numerical Differentiation with Function Values Given at Unequally Spaced Points and Application to Solution of Partial Differential Equations. N.A.C.A. T.N. 2214.Google Scholar
7. Whitehead, L. G., Wu, L. Y. and Waters, M. H. L. Contracting Ducts of Finite Length. Aeronautical Quarterly, Vol. 2, p. 254, February 1951.Google Scholar