Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-17T23:36:10.285Z Has data issue: false hasContentIssue false

A wake singularity potential flow model for airfoils experiencing trailing-edge stall

Published online by Cambridge University Press:  26 April 2006

W. W. H. Yeung
Affiliation:
Nanyang Technological University, Singapore
G. V. Parkinson
Affiliation:
Department of Mechanical Engineering, University of British Columbia, Vancouver, Canada V6T 1Z4

Abstract

An incompressible inviscid flow theory for single and two-element airfoils experiencing trailing-edge stall is presented. For the single airfoil the model requires a simple sequence of conformal transformations to map a Joukowsky airfoil, partially truncated on the upper surface, onto a circle over which the flow problem is solved. Source and doublet singularities are used to create free streamlines simulating shear layers bounding the near wake. The model's simplicity permits extension of the method to airfoil-flap configurations in which trailing-edge stall is assumed on the flap. Williams’ analytical method to calculate the potential flow about two lifting bodies is incorporated in the Joukowsky-arc wake-singularity model to allow for flow separation. The theoretical pressure distributions from these models show good agreement with wind-tunnel measurements.

Type
Research Article
Copyright
© 1993 Cambridge University Press

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

Bearman, P. W., Graham, J. M. R. & Kalkanis, P. 1989 Numerical simulation of separated flow due to spoiler deployment. In Conf. Proc., Prediction and Exploitation of Separated Flow, pp. 2.12.15. The Royal Aeronautical Society.
Halsey, N. D. 1982 Comparison of the convergence characteristics of two conformal mapping methods. AIAA J. 20, 724726.Google Scholar
Jacob, K. 1969 Berechnung der abgelösten inkompressiblen Strömung um Tragflügelprofile und Bestimmung des maximalen Auftriebs. Z. Flugwiss. 17, 221230.Google Scholar
Jacob, K. 1987 Advanced method for computing flow around wings with rear separation and ground effect. J. Aircraft 24, 126127.Google Scholar
McCullough, G. B. & Gault, D. E. 1951 Examples of three representative types of airfoil-section stall at low speed. NACA Tech. Note 2502.
Nakamura, Y. & Tomonari, Y. 1982 The effects of surface roughness on the flow past circular cylinders at high Reynolds numbers. J. Fluid Mech. 123, 363378.Google Scholar
Ormsbee, A. I. & Maughmer, M. D. 1986 A class of airfoils having finite trailing-edge pressure gradients. J. Aircraft 23, 97103.Google Scholar
Parkinson, G. V. & Jandali, T. 1970 A wake source model for bluff body potential flow. J. Fluid Mech. 40, 577594.Google Scholar
Parkinson, G. V. & Yeung, W. 1987 A wake source model for airfoils with separated flow. J. Fluid Mech. 179 41–57 (referred to herein as P & Y).Google Scholar
Schmieden, C. 1940 Flow around wings accompanied by separation of vortices. NACA Tech. Mem. 961.Google Scholar
Suddhoo, A. & Hall, I. M. 1985 Test cases for the plane potential flow past multi-element aerofoils. Aeronaut. J. 89, 403414.Google Scholar
Theodorsen, T. 1931 Theory of wing sections of arbitrary shape. NACA Rep. 411.Google Scholar
Wenzinger, C. J. 1938 Pressure distribution over an NACA 23012 airfoil with an NACA 23012 external-airfoil flap. NACA Tech. Rep. 614.Google Scholar
Williams, B. R. 1971 An exact test case for the plane potential flow about two adjacent lifting aerofoils. R. Aeronaut. Est., Tech. Rep. 71197.Google Scholar
Yeung, W. W. H. 1990 Modelling stalled airfoils. PhD thesis, University of British Columbia.