Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-26T18:13:31.604Z Has data issue: false hasContentIssue false
  • English
  • Français

A theoretical model for predicting the performance of circulation controlled aerofoils and cascades

Published online by Cambridge University Press:  04 July 2016

W. L Flint  and
C. I Holliday
W. L Flint
Affiliation:
Dept of Mechanical Engineering, The University of Aston in Birmingham
C. I Holliday
Affiliation:
Smiths Industries Aerospace and Defence Systems Co., PutneyDivision
Get access Rights & Permissions [Opens in a new window]

Summary

The procedure described applies to aerofoils or cascades with circulation controlled by tangential blowing jets and provides a complete numerical solution for aerodynamic performance in incompressible flow conditions.

The pressure distribution over the blade surface is predicted by a potential flow model in which the region of separated flow is represented by an appropriated source distribution. Boundary layer development is calculated by a finite-difference solution of the parabolic boundary layer momentum equation: the development of the blowing jet and its mixing with the boundary layer over the curved trailing edge is predicted by the same procedure applied to an angular momentum equation, using an intermittency representation of the eddy viscosity distribution.

Predictions are compared with experimentally measured lift coefficients for an isolated aerofoil, with turning angles for a cascade tested by other workers and with experimental turning angles for a cascade tested by the authors. The agreement between theory and experiment is good.

Type
Research Article
Information
The Aeronautical Journal , Volume 86 , Issue 852 , February 1982 , pp. 76 - 82
Copyright
Copyright © Royal Aeronautical Society 1982 

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. Kind, R. J. A Proposed Method of Circulation Control, PhD Thesis. 1967, Clare College, Cambridge.Google Scholar
2. Allcock, A. W. R. and Dunham, J. The Aerodynamics of Circulation Control by Blowing, Lecture to the Royal Aeronautical Society, 1967.Google Scholar
3. Kind, R. J. A Calculation Method for Circulation Control by Tangential Blowing Around a Bluff Trailing Edge, Aeronautical Quarterly, 1968, XIX, 205–223.Google Scholar
4. Martensen, E. Berechnung der Druckverteilung an Gitterprofilen in ebener Potentialstromung mit einer Fredholmschen Integral-gleichung, Arch. Rat. Mech. Anal., 1959.3,235–270.Google Scholar
5. Jacob, K. and Reigels, F. W. The Calculation of the Pressure Distribution over Aerofoil Sections of Finite Thickness with and without Flaps and Slats, RAE Library Translation No 1101, 1965.Google Scholar
6. Wilkinson, D. H. A Numerical Solution of the Analysis and Design Problems for the Flow Past One or More Aerofoils or Cascades, Aeronautical Research Council RM 3545, 1967.Google Scholar
7. Geller, W. Calculation of the Turning Angie of Two- Dimensional Incompressible Cascade Flow, AlAA Journal, 1976. 14. No. 3.297–298.Google Scholar
8. Dvorak, F. A. Calculation of Tubulent Boundary Layers and Wall Jets over Curved Surfaces. AlAA Journal, 1973. 11, 4, 517–524.Google Scholar
9. Bradshaw, P. Effects of Streamline Curvature on Turbulent Flow. AGARDograph No 169. 1973.Google Scholar
10. Johnston, J. P. and Eide, S. A. Turbulent Boundary Layers on Centrifugal Compressor Blades: Prediction of the Effects of Surface Curvature and Rotation. Journal of Fluids Engineering, Trans. 1976.98.374–381.Google Scholar
11. Patankar, S. V. and Spalding, D. B. Heat and Mass Transfer in Boundary Layers, Intertext Books. London. 1970.Google Scholar
12. Holliday, C. I. The Performance of Aerofoil Cascades Using Circulation Control. PhD Thesis. University of Aston in Birmingham. 1979.Google Scholar
13. Landsberg T. J., and Krasnoek, E. An Experimental Study of Rectilinear Jet Flap Cascades. Journal of Basic Engineering, Trans ASME. 1972. 94. 97–104.Google Scholar