Hostname: page-component-76fb5796d-qxdb6 Total loading time: 0 Render date: 2024-04-26T09:26:00.348Z Has data issue: false hasContentIssue false
  • English
  • Français

A discrete vortex method for the non-steady separated flow over an airfoil

Published online by Cambridge University Press:  20 April 2006

J. Katz
J. Katz
Affiliation:
Ames Research Center, NASA, Moffett Field, California 94035 NRC Associate. Present address: Dept. Mechanical Engineering, Technion, Haifa, Israel.
Get access Rights & Permissions [Opens in a new window]

Abstract

A discrete vortex method was used to analyse the separated non-steady flow about a cambered airfoil. The foil flow modelling is based on the thin lifting-surface approach, where the chordwise location of the separation point is assumed to be known from experiments or flow-visualization data. Calculated results provided good agreement when compared with the post-stall aerodynamic data of two airfoils. Those airfoil sections differed in the extent of travel of the separation point with increasing angle of attack. Furthermore, the periodic wake shedding was analysed and its time-dependent influence on the airfoil was investigated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 102 , January 1981 , pp. 315 - 328
Copyright
© 1981 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

Abbott, I. H., Doenhoff, A. E. & Stivers, L. S. 1945 Summary of airfoil data. N.A.C.A. Rep. no. 824.Google Scholar
Batchelor, G. K. 1970 An Introduction to Fluid Dynamics. Cambridge University Press.
Clements, R. R. 1973 An inviscid model of two-dimensional vortex shedding. J. Fluid Mech. 57, 321–336.Google Scholar
Clements, R. R. & Maull, D. J. 1975 The representation of sheets of vorticity by discrete vortices. Prog. Aerospace Sci. 16, 129–146.Google Scholar
Critzos, C. C., Heyson, H. H. & Boswinkle, R. W. 1955 Aerodynamic characteristics of NACA 0012 airfoil section at angles of attack from 0° to 180°. N.A.C.A. Tech. Note 3361.
Fage, A. & Johansen, F. C. 1927 On the flow of air behind an inclined flat plate of infinite span. Proc. Roy. Soc. A 116, 170–197.Google Scholar
Feistel, T. W., Anderson, S. B. & Kroeger, R. A. 1978 A method for localizing wing flow separation at stall to alleviate spin entry tendencies. A.I.A.A. Paper 78-1476.
Katz, J. & Weihs, D. 1978a Hydrodynamic propulsion by large amplitude oscillations of an airfoil with chordwise flexibility. J. Fluid Mech. 88, 485–497.Google Scholar
Katz, J. & Weihs, D. 1978b Behavior of vortex wakes from oscillating airfoils. J. Aircraft 15, 871–863.Google Scholar
Kiya, M. & Arie, M. 1977 A contribution to an inviscid vortex-shedding model for an inclined flat plate in uniform flow. J. Fluid Mech. 82, 223–240.Google Scholar
McAlister, K. W. & Carr, L. W. 1978 Water tunnel experiments on an oscillating airfoil at Re = 21000. N.A.S.A. TM-78446.
McCullough, G. B. & Gault, D. E. 1951 Examples of three representative types of airfoil section stall at low speed. N.A.C.A. TN-2502.
Marshall, F. J. & Deffenbaugh, F. D. 1974 Separated flow over bodies of revolution using an unsteady discrete-vorticity cross wake. N.A.S.A. CR-2414.
Mendenhall, M. R., Spangler, S. B. & Perkins, S. C. 1979 Vortex shedding from circular and noncircular bodies at high angles of attack. A.I.A.A. Paper 79-0026.Google Scholar
Methta, B. U. 1977 Dynamic stall of an oscillating airfoil. AGARD Fluid Dynamics Panel Symp. on Unsteady Aerodynamics, Ottawa, Canada, Paper 22.
Moss, G. F. & Murdin, P. M. 1968 Two-dimensional low speed tunnel tests on the NACA 0012 section including measurements made during pitching oscillations at the stall. R.A.E. Tech. Rep. no. 68104.Google Scholar
Pinkerton, R. M. 1937 The variation with Reynolds number of pressure distribution over an airfoil section. N.A.C.A. Rep. no. 613.Google Scholar
Roshko, A. 1954 On drag and shedding frequency of two-dimensional bluff bodies. N.A.C.A. TN-3169.Google Scholar
Sarpkaya, T. 1975 An inviscid model of two-dimensional vortex shedding for transient and asymptotically steady separated flow over an inclined plate. J. Fluid Mech. 68, 109–128.Google Scholar
Sarpkaya, T. 1979 Vortex-induced oscillations. J. Appl. Mech. 46, 241–258.Google Scholar
Sarpkaya, T. & Shoaff, R. L. 1979 An inviscid model of two-dimensional vortex shedding for transient and asymptotically steady separated flow over a cylinder. A.I.A.A. Paper 79-0281.
Sears, W. R. 1976 Unsteady motion of airfoils with boundary-layer separation. A.I.A.A. J. 14, 216–220.Google Scholar
Stratford, B. S. 1959 The prediction of separation of the turbulent boundary layer. J. Fluid Mech. 5, 1–16.Google Scholar